Answer: y = 0.5, x = 50
Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:
a triangle has 180 degrees so we subtract the given 50 which gives us 130
2(2y + 64) = 130
4y + 128 = 130
y = .5
This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:
2(45 - x/4) = 65
x = 50
This means the bottom 2 angles of the second triangle are both 32.5.
Answer:
2.5 cm
Step-by-step explanation:
We see the diameter is 5cm
so the radius is half the diameter
5/2 = 2.5 cm
The width of the rectangle is
unit
Step-by-step explanation:
The given is:
- A rectangles width is 4 less than its area
- Its length is 19 units
We need to find the width of the rectangle
Assume that the width of the rectangle is x units
∵ The area of the rectangle = length × width
∵ The width of the rectangle = x units
∵ The length of the rectangle = 19 units
∴ The area of the square = 19 × x = 19 x units²
∵ The width of the rectangle is 4 less than its area
- That means subtract 4 from the area to find the width
∴ x = 19 x - 4
- Subtract 19 x from both sides
∴ -18 x = -4
- Divide both sides by -18
∴ x = 
- Reduce the fraction by dividing up and down by -2
∴ x = 
The width of the rectangle is
unit
Learn more:
You can learn more about the rectangles in brainly.com/question/12919591
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Answer:
Mr.Walters car can go 15 miles on one gallon of gas.
Step-by-step explanation:
To find this, you first want to put it into a ratio.
480:32
Next, you want to divide.
480/32
After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.