Calculate the missing angles a, b, c, and d in the diagram below, giving a reason for each answer
Answer:
see below and attachment
Step-by-step explanation:
a=30°
because, the marked angle of 30° is an alternate interior angle to angle a. Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.
b=50°
because the marked angle of 50° is a vertical angle to angle b. Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.
c=50°
because the marked angle of 50° is a corresponding angle (same side angle) to angle c. These corresponding angles are congruent because the 2 horizontal lines are parallel.
d=100°
because the 3 interior angles of a triangle must add up to 180°. We have 30°, 50°, so the last angle must be 100°. We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°. We have angle a as 30°, angle c as 50°, so angle d must be 100°.
Hope this helps! See attachment for visual.
Find the slope of the line. Describe how one variable changes in relation to the other. A. 2; distance increases by 2 miles per hour B. 2; distance decreases by 2 miles per hour C. 1/2; distance increases by 1 mile every 2 hours D. 1/2; distance decreases by 1 mile every 2 hours
The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.
What is a good example of a line's slope?
The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.
A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.
B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.
C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.
D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.
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What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)
Answer:
y=5
Step-by-step explanation:
If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.
Use the equation
y-y=m(x-x)
y-5=0(x-(-4))
y-5=0
y=5
Answer:
y=5
Step-by-step explanation:
If a firm’s total fixed costs are $11,639, total revenues are $28,200, and profit is $4,776, what must the firm’s total variable cost be?
Answer:
Step-by-step explanation:
Name at least 5 angles for this diagram
Congruent Angles
Vertical Angles
Adjacent Angles
Complementary Angles
Supplementary Angles
Answer and Step-by-step explanation:
Question 3.
Angle HKL is supplementary to Angle HKJ
Angle K is vertical to Angle K
Angle HKL is adjacent to Angle HKL
Angle K is congruent to Angle K
Question 4.
Angle RUS is supplementary with Angle RUV
Angle RUS is vertical to Angle VUW
Angle WUT is adjacent with Angle RUT
Angle RUS is complementary with Angle TUS
Angle WUT is congruent to Angle RUT
Angle WUS is vertical to angle VUR
#teamtrees #PAW (Plant And Water)
Hello! I am not quite grasping the concept could you please walk me through?
When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.
\(\begin{gathered} 8t+5+3t-3=8t+3t+5-3 \\ =(8+3)t+(5-3) \\ =11t+2 \end{gathered}\)The length of every chord in a circle is always greater than the length of a radius.
True or False?
Answer:
the answer would be false
800:2 in the simplest form
Answer:
400:1
Step-by-step explanation:
800:2
800/2:2/2
400:1
PLS HELP ME WITH THIS Find the ratio of squares to total shapes in the diagram below. 40 POINTS!
it literally says just count them all lol just like this we see there are 9 squares correct? and there are 12 circles so the ratio is 9:12 put 9 in the first box and 12 in the next just ask me if you need more help
We have 2 fractions 1/6 and 3/8 and we want to rewrite them so that they have a common denominator what numbers could we use for the denominators
Answer:
You can use 48 and 24
Step-by-step explanation:
You can figure out 48 by simply multiplying 6 times 8. You can figure out the 24 by noticing that 24 is divisible by both 6 and 8. 6 x 4 =24, and 8 x 3=24. I hope this helps!
Answer:
The numbers we could use for the denominators is 48 and 24.
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Brenna took a history test. She got 34 out of 85 problems right. What
percentage did Brenna get right?
Answer:40%
Step-by-step explanation:
Answer: When you convert the fraction to a percentage it is 40% Hope that this helps you
Step-by-step explanation:
using the rules of exponents to evaluate or simplify. write without negative exponents. 1/4^-2
PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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How is finding -15 - (-6) similar to finding 15-6? How is it different?
1) The way both are similar is that they involve subtraction operation.
2) The way they are different is that they produce different answers.
How to solve basic order of operations?The basic order of operations in mathematics is called PEMDAS which denotes; parentheses, exponents, multiplication, division, addition, then subtraction.
The expressions are;
-15 - (-6) and 15 - 6
The way they are similar is that they both tell us that we are using the subtraction operation to subtract a number from another
The way they are different is that when the subtraction operation is multiplied by a subtraction operation it becomes addition and so -15 - (-6) becomes -15 + 6 which will give us a different result to 15 - 6.
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what is the value of k such that x-1 is a factory of x^3-6x^2+2kx-3
let, f(x)= x^3 -6x^2 +2kx -3
since,x-1 is a factor of f(x).
Then,(1)^3-6×(1)^2+2k×1-3=0
or,1-6+2k-3=0
or,-8+2k=0
or,2k=8
or,k=4
Therefore,k=4.
(note:if there is any mistakes the suggest as I am also a human being)
3.) Given the regular polygon. Find the measure of each numbered angle.
m<1 = 30
m<2 = 15
m<3 =
75
Work/expanation:
The b. m<angle1 = 45°,
mangle2 = 67.5°
How to solveAn octagon has 8 sides.
Sum of interior angles = 180° x (n-2) = 180° x (8-2) = 180° x 6 = 1,080°
1,080° ÷ 8 sides = 135° interior angle.
Angle 2 = 135° / 2 = 67.50°
Angle 1 = 180° - 135° = 45°
If these were the choices given:
a. mangle1 = 45°, mangle2 = 135°
b. mangle1 = 45°, mangle2 = 67.5° ⇔ THIS IS THE CORRECT ANSWER.
c. mangle1 = mangle2 = 60°
d. mangle1 = 22.5°, mangle2 = 78.75°
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Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
1messageLeo wants to build a confidence interval with 98% confidence to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He takes a random sample of 500 bulbs and finds that 25 arrived broken.What critical value should Leo use to construct this confidence interval?z* = 1.96z* = 1.280z* = 2.326z* = 1.645z* = 2.576
To find the critical value that Leo should use, we proceed as follows:
- We find the p value, which is:
p = 25/500 = 0.05
-Next we use the p value to find the alpha value:
alpha = 2 * p = 2 * 0.05
alpha= 0.10
Therefore, the confidence interval that Leo should use is:
1 -0.10 = 0.90 = 90%
Now, for a 90% confidence interval, from the t -tables, the appropriate critical value is 1.645
Thus: z* = 1.645
What expression is equivalent to 2a+20/4
A.8a+80
B.0.5a+5
C.2a+1/5
D.5.5a
E.6a+24
Answer:
None
Step-by-step explanation:
2a + 20/4
2a + 5
Best of Luck!
Answer:
2.0976637e+27 x+y+z x = x 80538738812075974, y = 80435758145817515, and z = 12602123297335631.
Step-by-step explanation: its right do the math this took me hours
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
Working 4 hours for $7.00 per hour.
Answer:
You will have 28 dollars in 4 hours
Step-by-step explanation:
4 x 7 =28
lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum home value that can be financed is approximately $35,365.85.
Let's represent the maximum home value that can be financed by H.
If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.
Therefore, we have:
H × 82% = $29,000
Multiplying both sides by (1/82%), we get:
H = $29,000 / 82%
= $35,365.85
Hence, the maximum home value that can be financed is approximately $35,365.85.
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if you are asked to find the value of the 100th term of a sequence, would you use the explicit formula for that sequence or the recursive formula?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
We know that,
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
a_n = a_1 + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The major distinction between recursive and explicit formulas is that a recursive formula returns the value of a particular term depending on the preceding term, whereas an explicit formula returns the value of a given term based on its location.
When the value of the first term and the common difference is known then an explicit formula is used, while the recursive formula will be used when the value of the previous value is known and the value of the common difference is known.
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complete question:
what is the difference between the explicit formula and recursive formula for sequences when would you use one over the other
Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above
Answer: D
Step-by-step explanation:
None of the above
Answer:
Step-by-step explanation:
d
Pippa had 35 stickers.
She gave an equal number of stickers to 8 friends.
She gave each friend as many stickers as possible and kept the rest for herself.
How many stickers did Pippa keep for herself?
Answer: 3 stickers
Step-by-step explanation:
From the question, we know that Pippa's 8 friends have an equal amount of stickers, meaning that the number of stickers that Pippa gave out is a multiple of 8.
Also, we are able to know that Pippa gave as much as she can, meaning that she gave out the stickers until the number is the maximum multiple of 8.
First Five Multiple of 8 = 8, 16, 24, 32, 40
As we can see from the list, 8, 16, and 24 are all multiples of 8, but they are not the maximum number that could fit under 35 stickers. Similarly, 40 exceeds the number of stickers Pippa has. Thus, we are left with 32.
This means, Pippa gave out 32 stickers in total, and each friend got 4 stickers.
32 / 8 = 4 stickersAlso, this means Pippa would keep 3 stickers for herself.
35 - 32 = 3 stickersHope this helps!! :)
Please let me know if you have any questions
What is the value of x?
to
The measure of the angle x is 30 degree if the triangle is an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a circle in which a triangle is formed.
Here is the length of the triangle is same, means it is an equilateral triangle.
Each angle in equilateral triangle = 60 degree
The radius and the one tangent, making an angle of 90 degree
Taking bigger triangle:
Total sum of angles in triangle = 180 degree
x = 180 – 90 -60
x = 30 degree
Thus, the measure of the angle x is 30 degree if the triangle is an equilateral triangle.
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whats the length in the picture
Answer:
3.1in
hope it helps
6 1/2 minus 5 3/4 in math
6 and 1/2 minus 5 and 3/4 mathematically is equivalent to 3/4 .
Given, 6 and 1/2 minus 5 and 3/4 .
Solve for:
1. First off, convert both of these mixed number fractions into improper fractions.
6 and 1/2 minus 5 and 3/4
= \(\frac{13}{2} - \frac{23}{4}\)
2. Find a common denominator
Multiply the numerator and denominator of the first fraction both by 2.
= \(\frac{13}{2} - \frac{23}{4}\)
=\(\frac{26}{4} - \frac{23}{4}\)
3. Subtract the fractions.
= \(\frac{26}{4} - \frac{23}{4}\)
= \(\frac{3}{4}\)
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Think of two numbers that multiply to -24, but add to -14.
Answer:
x = -7 + √(73)
y = -7 - √(73)
Step-by-step explanation:
Product p = x × y = -24
Somme s = x + y = -14
Then
x and y are solutions to the equation:
z² - sz + p = 0
Then
x and y are solutions to the equation:
z² + 14z - 24 = 0
Using the quadratic formula:
x = ( -14 + √[(14² - 4×(1)×(-24)] ) / ( 2×(1) ) = -7 + √(73)
and
y = ( -14 - √[(14² - 4×(1)×(-24)] ) / ( 2×(1) ) = -7 - √(73)