Proving Vertical Angles Are Congruent
Statensents Reasons
m22=m24
m22+ m23 = 180
22 and 23 are a linear
pair
23 and 24 are a linear
pair
Statements
Reasons
✓1.22 and 24 are vert. angles
1. given
Given: 22 and 24 are vertical angles.
Prove: 22 a 24
2
12
mZ3+ m2 4 = 180
m22+ m23=mZ3+
24
Answers
The angle ∠22 and angle ∠24 are congruent because they are vertically opposite angles.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
The statements are given below.
∠22 = ∠24 (vertically opposite angle)
∠22 + ∠23 = 180 (linear angle)
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
Related Questions
one millon divide by 473.8
Answers
Answer:23(22.95684113865932)
Step-by-step explanation:
Robert earns $300 every week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and total income (t).
w = 300 − 30
s − h = t
w − h − t = s
t = 300w
h = 300w
Answers
***NEED HELP QUICKLY***
My grandson is stuck on a couple of math questions, one of which is this;;
"the graphs below show the costs of two taxi services. the x-axis represents the distance traveled in miles, and the y-axis represents the cost in dollars.
how many miles must be traveled for the costs of the two services to be the same? "
A. 5
B. 7.5
C. 3
D. ^
Answers
Answer: it is 7.5 I think
Step-by-step explanation:
Answer: 8 miles
If you want to solve this problem you first have to set up an equation. The equation for the bottom line would be y=1/2x+3. The equation for the top line would be y=1/4x+5. Then you can put the two equations together and simplify. (1/2x+3=1/4x+5) And your answer should be 8 miles. Hope it helps!
*I'm not 100% sure if it's correct since I can't see the graph very well, but that's how you solve it*
i need help with ......
A fair coin is tossed 27 times. What is the probability that at most 24 heads occur?
a) 0.000022
b) 0.000003
c) 0.000025
d) 0.999997
e) 0.999975
Answers
Using binomial probability and cumulative distribution function, the probability of having 24 heads is 0.000022
What is the probability that at most 24 heads occur?This problem can be solved using the binomial distribution. Let X be the number of heads that occur in 27 tosses of the fair coin. Then X follows a binomial distribution with parameters n = 27 and p = 0.5.
We want to find the probability that at most 24 heads occur, which is equivalent to finding the probability that X is less than or equal to 24. We can use the cumulative distribution function (CDF) of the binomial distribution to calculate this probability:
\(P(X \leq 24) = \sum_{k=0}^{24} {27 \choose k} (0.5)^{27}\)
We can use a calculator or software to evaluate this sum, or we can use the complement rule to find the probability of the complement event (i.e., 25 or more heads) and subtract from 1:
\(P(X \leq 24) = 1 - P(X \geq 25) = 1 - \sum_{k=25}^{27} {27 \choose k} (0.5)^{27}\)
Using a calculator or software, we find that the probability is approximately 0.000022, which corresponds to answer choice (a).
Therefore, the answer is (a) 0.000022.
Learn more on binomial probability here;
https://brainly.com/question/15246027
#SPJ1
Can someone please help me with this problem?
Answers
Answer:
1/2 and 3/4
Step-by-step explanation:
First, let's look at the pattern of the fractions.
Each fraction is increasing by 1/4.
1/4 = 2/8
2/4 = 4/8
We know that 5/8 is in between 4/8 and 6/8 because 5 is in between 4 and 6.
Since we now know want fractions 5/8 is in between, all we have to do is convert.
4/8 = 2/4 (as is mentioned on the top)
6/8 = 3/4
Note: On the number line, 2/4 is referred to as 1/2...
Therefore, 5/8 is in between 1/2 and 3/4.
-kiniwih425
Enter the number of complex zeros for the polynomial function in the box.
f(x)=x4+5x2+6
Answers
Answer:
4Step-by-step explanation:
Given function
f(x)=x⁴+5x²+6Zeros of the function:
x⁴+5x²+6 = 0(x²)² + 2x² + 3x² + 6= 0(x² + 2)(x² + 3) = 01. x²+ 2 = 0
x²= -2x₁,₂ = ±√2i2. x² + 3 = 0
x² = -3x₃,₄ = ±√3iAs we see there are 4 complex zeros
Answer:
4
Step-by-step explanation:
4. If prices rise and income stays the same, what is the effect on demand? Fewer goods are bought. More goods are bought. More is bought of some goods and less of others. Demand stays the same.
Answers
Answer: The answer would be fewer goods are bought
Step-by-step explanation: This should be the answer because they are basically raising the price for the objects sold and most people do not buy as much as they usually would because of this increase in price
On his third math quiz of the semester, Cooper answered 28 questions correctly and got 7 wrong. What is the ratio of the number of questions he got right on the quiz to the total number of questions?
Answers
Step-by-step explanation:
Given that Cooper answered 28 questions correctly and 7 incorrect answers, If the total number of questions is x,
let total number of questions be X,therefore X = 28+7
= 35
ratio of right answered questions to the total questions, R isR =
\( \frac{28}{35} \)
=
\( \frac{4}{5} \)
therefore, the ratio is 4:5
Please, help it is geometry
Answers
Answer:
WR ≈ 13.862
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
WR² + RT² = WT²
WR² + 12.1² = 18.4²
WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )
WR² = 192.15 ( take the square root of both sides )
WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )
3) Which value below would
have the most dots on a line
plot?
3
6.25
4.25
3
Your answer
6.5
6.25
3 co
3.5
6.5
4.25
* 1 point
5
4.25
7.25
5.5
Answers
The value that would have the most dots on a line plot is given as follows:
4.25.
What is a dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
A line plot is built from the dot plot, in which:
The input is each observation of the data-set.The output is the number of dots on the data-set.Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).
More can be learned about dot plot at brainly.com/question/29660457
#SPJ1
Simplify fully
24(x-2)^2+6(x-2)
Answers
Factor the expression: 4d - 4
How do u do this plz help
Answers
Answer: 4(d - 1)
Step-by-step explanation:
both terms in 4d - 4 have a common factor: 4. pull this 4 out of both factors in order to get 4(d - 1)
Solve for x 7-x=10
X=-5
X=3
X=17
X=-3
Answers
Answer:
Step-by-step explanation:
7-x=10
subtract -7 from both sides
-x=10-7
-x=3
x=-3
Find the area of the parallelogram
Answers
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
Learn more about Area of Parallelogram here:
https://brainly.com/question/9148769
#SPJ6
I am lost please help thank you all
Answers
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
which of the following is a good representation of what a typical worker in a particular group might make?
-salary representation
-income estimation
-median salary
-Income potential
Answers
Write an equation in slope intercept form for the line with slope -2/3 and y intercept 8
Answers
Answer:
y=-2/3x+8
Step-by-step explanation:
Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
Learn more about numbers in https://brainly.com/question/24908711
#SPJ1
The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answers
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please
Answers
a/b - c + d = (7/8) / (-7/16) - 0.8 + 1/4
We can simplify the first term by dividing the numerator by the denominator and multiplying by the reciprocal:
(7/8) / (-7/16) = (7/8) * (-16/7) = -2
Substituting this value, along with the values of c and d, we get:
a/b - c + d = -2 - 0.8 + 1/4
Combining the constant terms, we get:
a/b - c + d = -2.8 + 1/4
To express this as a mixed number in simplest form, we first convert the decimal to a fraction by multiplying both the numerator and denominator by 100:
-2.8 + 1/4 = -280/100 + 25/100
Combining these fractions, we get:
-280/100 + 25/100 = -255/100
To express this as a mixed number, we divide the numerator by the denominator to get the whole number part, and express the remainder as a fraction of the denominator:
-255/100 = -2 55/100 = -2 11/20
Therefore, the answer in mixed number form is -2 11/20.
Maria score 70% on a spelling test if there are 40 total words how many did he get right?
Answers
Answer:
28 words Maria got right
Step-by-step explanation:
70% of total words Maria got right
Therefore:
\(\frac{70}{100} *40= 28\)
what is the equivalent factor of 21 +99
Answers
Answer:
3(7+33)
Step-by-step explanation:
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Answers
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
To know more about line, visit:
https://brainly.com/question/30003330
#SPJ1
A new car usually costs £8500. Henry gets a discount of £1000. What is the discount as a percentage of the the usual cost? Give your answer to 1 decimal place.
Answers
Step-by-step explanation:
Discount = £8500 - £1000 = £7500
Discount percentage = 7500/8500 x 100
= 88.2%
3. If a 35-foot cable were run from the top of the pole and anchored to the ground at a distance from the pole, about how far away from the pole would it be anchored?
Answers
The distance from the pole at which the cable is anchored is about 25 feet from the pole .
Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.
Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.
we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.
Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .
Simplifying the above equation
1225 = 1600 - 80ED + ED²
1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0
Factorizing the above quadratic equation
ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)
= 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.
The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.
Know more about distance here:
https://brainly.com/question/30395212
#SPJ8
If an angle’s measure is between 0 and 90° then it is said to be a _____angle...
Answers
Answer:
acute
Step-by-step explanation:
An acute angle measures less than 90°.
Christen has to run around the rectangular soccer field during practice. The soccer field measures 60 meters
long by 45 meters wide.
How far did Christen run?
Answers
Answer:
210m
Step-by-step explanation:
60+60+45+45
120+90
210m
Help PLEASE! 25 POINTS
Segments MO and PQ are parallel. Determine the length of MO to the nearest tenth of a unit.
Answers
The calculated value of the length of the segment MO in the triangle is 24 units
How to find the length of the segment MOFrom the question, we have the following parameters that can be used in our computation:
The simiar triangles
Using the theorem of corresponding sides, we hav
MO/15 = 20.8/13
Multiply both sides by 15
So, we have
MO = 15 * 20.8/13
Evaluate
MO = 24
Hence, the missing side length in the triangle is 24
Read more about triangle at
https://brainly.com/question/14285697
#SPJ1
The spread around a regression modle is measured with the residual standard deviation. True or False
Answers
Answer:
True
Step-by-step explanation:
Residual standard deviation is the square root of the residual variance. It is an estimate of the error made on the measurement of the dependent variable.
Thus, the spread around the regression model is usually measured with the residual standard deviation because it is the measurement of standard error between actual and predicted value.
Suppose you need 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m to tow a car How would you calculate theme of this much chain
Answers
The mass of the tow chain will be equal to 12.96 kg.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m.
The mass of 1 m chain = 2.16 kg
Mass of 6-meter chain = 2.16 x 6
Mass of 6-meter chain = 12.96 kg
Therefore, the mass of the tow chain will be equal to 12.96 kg.
To know more about an expression follow
https://brainly.com/question/14375433
#SPJ1