Answer:
Step-by-step explanation:
Angle PRS and RPQ are right angles. Segment SP is also congruent to segment QR. This means that triangle PRS and RPQ are right angle triangles.
Segment SP and segment QR are the longest sides and thus, the hypotenuse of each triangle. It means that the hypotenuse are congruent
The hypotenuse leg theorem states that any two right triangles are congruent if they have a congruent hypotenuse and a corresponding congruent leg. Therefore,
Angle PSR is congruent to angle RPQ and
Triangle PSR is congruent to triangle RPQ
The cost of one pencil is $10:8=$1.25
The cost of 20 pencils: 1.25 x 20 = $25
the answer is D
y=-4(2)^2=-16
hope this helps you good luck
Answer:
-125w^6z^24
Step-by-step explanation:
Bob can buy 15 cupcakes for the price of 18 cookies.
Step-by-step explanation:
- Assume the cost of a cookie is $x, the cost of a brownie is $y and the cost of a cupcake is $z.
- It is given that 6 cookies and 2 brownies cost the same, so 6x = 2y, take this as equation 1.
- It is also given that 4 brownies cost the same as 10 cupcakes, so 4y = 10z, take this as equation 2.
- If we divide equation 2 by 2 we get, 2y = 5z so that the y value is the same as equation 1 and we can equate equation 1 and 3.
- We get 6x = 2y = 5z, 6x = 5z, dividing both sides by 5, we get 1.2x = z.
- We need to calculate how many cupcakes Bob can buy for the price of 18 cookies, So we must find the z value when the x = 18.
- If we multiply 1.2 with 15 we get 18 so we the last equation is multiplied with 12 so that 18x = 15z. 18 cookies and 15 cupcakes cost the same.
