Answers
The quadrilateral is a parallelogram so opposite angles are equal
\(\\ \rm\Rrightarrow 4x-14=130\)
\(\\ \rm\Rrightarrow 4x=130+14\)
\(\\ \rm\Rrightarrow 4x=144\)
\(\\ \rm\Rrightarrow x=36\)
Two triangles are congruent when all of their respective sides and angles are equal. The value of x is 36°.
What is the meaning Congruent figures?Two geometric figures are said to be congruent when both their shapes and sizes are equal. There are several rules of congruency for two congruent triangles such as, SSS SAS,, ASA and RHS.
In the given figure ΔDAB ≅ ΔCBA
Which implies, opposite angles are equal,
=> ∠C = ∠D
Thus, as per the question,
130° = 4x - 14
=> 4x = 144
=> x = 36°.
Hence the value of x is given by x = 36°.
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Related Questions
if f(x) = x-1 what is f(9)?
if f(x)=5, what is f(6)?
Answers
Answer:8, 30
Step-by-step explanation:
if someone was on a diet from march to july. his mass in march was 95.2kg and in july 88.7kg. what is the percentage change in mass?
Answers
Answer:
6.82%(or -6.82%, it depends)
Step-by-step explanation:
95.2-88.7=6.5
6.5/95.2=6.82%
Parallel lines s and t are cut by a transversal, r, as shown.
Answers
Answer:
the value of x is 18
Step-by-step explanation:
observing the figure,
m < 1 =94 -----> by corresponding angles
(5x-4)+m < =180 degree -----> by supplementary angles
Substitute the measure of angle 1 and solve for x,
(5x-4)+94 = 180 degree
5x=180degree - 90degree
5x=90degree
x=18 degree
Please help me asap :)
Answers
Answer:
C = 62.8
Step-by-step explanation:
C = 2πr
π = 3.14
diameter = 20 ft
r = 10 ft
Get r or the radius by taking half of the diameter which is 20 ft and get 10 ft.
Plug this information in the formula and multiply to get C or the circumference.
C = 2(3.14)(10)
C = 62.8
Does anybody know 5.4.7: Teenagers CodeHs. Please help I am stuck in this
Answers
Answer:
The program in Python is as follows:
age = int(input("Age: "))
if age>=13 and age <=19:
print("Teenager")
else:
print("Not a teenager")
Step-by-step explanation:
This gets input for age
age = int(input("Age: "))
This checks if age is between 13 and 19 (inclusive)
if age>=13 and age <=19:
If yes, the age is teenage
print("Teenager")
If otherwise, the age is not teenage
else:
print("Not a teenager")
Find the maximum height of the baseball. I think 68. If it's wrong or right then please explain!
Answers
The coordinates of the problem are (2,68)
you are correct!
Mitchell invested $14,000 in stocks and bonds, paying 2.6% and 12% annual intrest respectively. If the total interest earned for the year was $1257, how much was invested in stocks and how much was invested in bonds?
Answers
Answer:
Stocks = 4500
Bonds = 9500
Step-by-step explanation:
Given that:
Total interest earned = 1257
Interest rate of stock = 2.6% = 0.026
Interest rate on bond = 12% = 0.12
Total amount invested = 14000
Let amount invested in stock = x
Amount invested in bond = 14000 - x
Using the relation :
Principal * rate * time
Stocks :
x * 0.026 = 0.026x
Bonds:
(14000 - x) * 0.12 = 1680 - 0.12x
0.026x + 1680 - 0.12x = 1257
−0.094x = 1257 - 1680
-0.094x = - 423
x = 423 / 0.094
= 4500
14000 - x = 14000 - 4500 = 9500
Stocks = 4500
Bonds = 9500
Need Help!
Ginger has an unpaid balance of $2,018.91 on her credit card. Her credit card has an interest rate of 1.2% per month. If she makes a payment of $500, how much will she owe at the end of the month?
$1,518.91
$1,537.14
$1,500.68
$1,543.14
Answers
Answer:
$1,537.14
I had this question once and this was the answrr
find the result graphically. click and drag the arrows to represent each term. type in the result ( mejor si habl español )
8+(-2)
Answers
Answer:
6
Step-by-step explanation:
8-2=6
The result after solving graphically is → +6.
We have the following expression -
8 + (-2)
We have to find the result graphically.
What is Number line ?In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
According to the question, we have -
8 + (- 2)
Now, 8 + (-2) can be written as -
8 - 2
Refer to the image attached -
A distance of 8 units is marked. From it 2 is subtracted. Remaining result will be = + 6.
Hence, the result after solving graphically is → +6.
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Factor the polynomial completely.
(y - 8)^2 - 16
Answers
Answer:
(y -12)(y -4)
Step-by-step explanation:
This can be factored as the difference of squares:
(y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)
WHAT IS 8 tons converted to 8 pounds
Answers
Answer:
16,000 lbs. Theres 2,000 lbs to every ton.
If you're asking for 8 tons MINUS 8 pounds, it'd be 16,000 - 8 which equals 15,992 lbs.
8m + 34 = 10 - 16m
How do I do?
Answers
Answer:
m=-1
Step-by-step explanation:
8m + 34 = 10 - 16m
fist add 16m to each side
8m+16m+34=10
then subtract 34 from each side
8m+16m=10-34
add like terms
24m=-24
divide both sides by 24
m=-1
34= 10-8m
24= -8m
3= m
PLEASE HELP ME MARKING BRAINLYYYYY
Answers
Answer:
i think it c im not sure though I tried my best to figure the answer out. pls dont get mad if its wrong.
Answer:
A
Step-by-step explanation:
20xday will help determine how many she reads, the +52 will allow us to account for the 52 she a;ready read.
need to show my work and find the surface area
Answers
4) The surface area of the square pyramid is; 145 ft²
5) The surface area of the rectangular prism is; 948 ft²
How to find the surface area of regular shapes?
4) For the square pyramid, we see that the faces have been broken down into 4 equal rectangles and one square base.
We know that;
Area of triangle = 1/2 * base * height
Thus
Area of 4 triangles = 4(1/2 * 5 * 12) = 120 ft²
Area of square = 5 * 5 = 25 ft²
Total surface area = 120 + 25 = 145 ft²
5) The surface area of a rectangular prism is;
A = 2(wl + hl + hw)
Thus, Area = 2((20 * 3) + (20 * 18) + (18 * 3))
Area = 2(474)
Surface area = 948 ft²
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Michelle has private health insurance that cost $435 a month. Her new employer will provide the same health insurance at no cost to her. What is the health insurance worth as a benefit of employment?
Answers
The health insurance worth as a benefit for Michelle is = $870.
Calculation of total health insurance benefitsThe private health insurance cost for Michelle = $435
The new employer will provide the same health insurance = $435
Therefore, the health insurance worth as a benefit for Michelle is = $435 + $435 = $870
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In Problems 13-24, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts. 13. y = x + 2 14. y = x - 6 15. y = 2x + 8 16. y = 3x - 9
17. y = x² - 1 18. y = x² - 9 19. y = -x² + 4
20. y = -x² + 1 21. 2x + 3y = 6 22. 5x + 2y = 10 23.9x² + 4y = 36 24. 4x² + y = 4
Answers
Answer:46.8
Step-by-step explanation: Bring down the y
the sum of two integers is 310. if one of them is - 52. find the other
Answers
Answer:
Integer = 362
Step-by-step explanation:
Let the two integers be x and y
Sum of two integers, x + y = 310 ------(1)
Given one of the integer, Let x = -52
Substitute x = -52 in (1) ,
-52 + y = 310
y = 310 + 52
y = 362
Is the constant of proportionality in gallons per minute the same for every row? What does this say about the relationship of the amount of water to time?
Answers
Answer:
Yes the constant of proportionality is the same for the three rows.
Step-by-step explanation:
Answer:
From Edmentom
Step-by-step explanation:
The numbers prove that there is a proportional relationship between the gallons of water and the time in minutes. The bathtub fills at a constant rate.
Write the equation of the circle with a center of (-5, 3) and a radius of 4.
A
(x + 5)2 + (y - 3)2 = 4
B
(x - 5)2 + (y + 3)2 = 4
(X - 5)2 + (y + 3)2 = 16
D
(x + 5)2 + (y - 3)2 = 16
Answers
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 3 ) and r = 4 , then
(x - (- 5))² + (y - 3)² = 4² , that is
(x + 5)² + (y - 3)² = 16 → D
I need help with 8th grade math
Answers
Jonah has been saving for a video game. Last year it cost $28. This year it costs $36. Determine the percent of change.
Answers
Answer:
Where: 28 is the old value in 36 is the new value in this case we have a positive change increase of 28.571142857
for 10 points Valerie set out to bicycle from TBLS to the beach, a distance of 10 miles. After going a short
while at 15 miles per hour, the bike developed a flat tire, and the trip had to be given up. The
walk back to TBLS was made at a dejected 3 miles per hour. The whole episode took 48
minutes. How many miles from TBLS did the flat occur?
Answers
Answer:
2 miles
Step-by-step explanation:
Given that :
Total distance = 10 miles
Distance = speed * time
Let distance from TBLS to flat Tyre spot = d
Time = distance / speed
Since the distance to and distance fro took a total of 48 minutes;
Hence ;
d/15 + d/3 = 48 minutes
48 minutes = 48/60 = 0.8 hours
d/15 + d/3 = 0.8
(d + 5d) / 15 = 0.8
d + 5d = 15 * 0.8
6d = 12
d = 12 / 6
d = 2 miles
Distance from TBLS to point bicycle had flat tyre is 2 miles
h(x) = -4x – 7, when x = 3:
Answers
\(\displaystyle\bf h(x)=-4x-7\Longrightarrow h(3)=-4\cdot3-7=-19\\\\Answer:\boxed{ h(3)=-19}\)
Answer:
-19
Step-by-step explanation:
heyya, so if x = 3 you just replace the x in the calculation to 3:
-4 *3 -7
= -12 -7
= -19
james scored 182 points while playing a video game. he scored 7 times as many points as jada scored.how many points did jada score?
Answers
The points jada score is 159.25.
Given that james scored 182 points while playing a video game and he scored 7 times as many points as jada scored.
Let x be the points scored by james and y be the points scored by jada.
The total points scored by james and jada is 182 points.
x+y=182 .....(1)
James scored 7 times many points as jada scored.
y=7x .....(2)
So, there are two equations and two unkowns.
Firstly, we will substitute equation (2) in equation (1), we get
x+7x=182
8x=182
Divide both sides by 8, we get
8x/8=182/8
x=22.75
Further, we will substitute the value of x in equation (2), we get
y=7×22.75
y=159.25
Hence, the jada score 159.25 when james scored 182 points while playing a video game and ahe scored 7 times as many points as jada scored.
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Find the measure of each side indicated. Round to the nearest tenth.
A) 19.8
C) 24.9
B) 27.2
D) 25.3
Answers
Answer:
D. 25.3
Step-by-step explanation:
tan∅ = opposite over adjacent
Step 1: Write equation
tan66.5° = x/11
Step 2: Multiply both sides by 11
11tan66.5° = x
Step 3: Evaluate
x = 25.2983
x ≈ 25.3
Answer:
\(\huge\boxed{x = 25.3}\)
Step-by-step explanation:
Tan θ = opposite / adjacent
Where θ = 66.5 , opposite = x and adjacent = 11
Tan 66.5 = x / 11
2.3 * 11 = x
25.3 = x
OR
x = 25.3
Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the line that shows how tall the tree will be each year, then use your equation to find out how tall the tree will be 4 years after she plants it. Let x - the number of years since she planted the tree; let y = the height of the tree in feet. Explain your solution and show me your work in arriving at your responses.
Answers
Answer:
y = 6 + 4x
After 4 years, the tree would be 22 ft tall.
Step-by-step explanation:
Hi there!
Let x = the number of years that pass
Let y = the height of the tree (ft)
We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.
Height of tree = 6 feet + 4 feet × number of years that pass
y = 6 + 4x
To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:
y = 6 + 4(4)
y = 6 + 16
y = 22
Therefore, the tree would be 22 ft tall.
I hope this helps!
Marijah wants to start saving money as a
New Year’s resolution. She starts with $125
and decides to save $15 per week from her
part-time job. Write an equation to represent
the total money saved, T after w weeks.
Answers
The diagonals of a square are 4 meters long. The side of this square is equal to the diagonal of the second square. Find the side of the second square.
Answers
Answer:
bro what is the diagonal of second square.
What do you call the horizontal angle which makes with a reference line
Answers
Answer:
Angles and Directions. ➢ In surveying, the direction of a line is described by the horizontal angle that it makes with a reference line. ➢ This reference line is called a meridian. Angles and Directions. ➢ The term "meridian" comes from the Latin meridies, meaning "midday“.
Step-by-step explanation:
PLEASE ANSWER ASAP!! Georgia is a farmer and wants to plant a crop of tomato plants so she can sell her crop at the local farmer's market. She already has a large number of plants cultivated from last year's harvest. Each should produce an average of 35 tomatoes per plant during the growing season. She has found a nursery to buy more tomato plants at which are a different type. She found that these tomato plants will cost $5.25 each and should produce 25 tomatoes per plant on average over the course of the growing season. When planting, she wants to arrange the plants so that there are 5 fewer plants in each column than there are in each row. Georgia can spend no more than $500 on the tomato plants. In order to meet customer demands, she needs to produce at least 5,000 tomatoes during the growing season. Let x represent the number of plants in a row, and let y represent the number of plants that Georgia already has. Create a system of inequalities to find the number of plants in a row and the number of plants Georgia already has, and use it to determine how many of the solutions are viable.
A. Part of the solution region includes a negative number of tomato plants in a row; therefore, not all solutions are viable for the given situation.
B. There is no solution region.
C. None of the solution region is viable because there cannot be a negative number of tomato plants in a row and she can not have a negative number of tomato plants already on hand.
D. The entire solution region is viable.
Answers
Answer:
Part of the solution region includes a negative number of tomato plants in a row; therefore, not all solutions are viable for the given situation.
Step-by-step explanation:
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