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4 years ago

For what values of x and y must each figure be a parallelogram?

Mathematics

1 answer:

Tcecarenko [31]4 years ago

5 0

(5x - 180)° +x° = 180°

(6x - 180)° = 180°

6x = 360°

x = 60°

5(60)-180= 300-180=120°

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Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc

hram777 [196]

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Further Explanation:

Given:

Carmen has $\$ 30$ in store bucks.

A $25\%$ discount coupon for a local department store.

The total amount should be less than $\$ 60$ before sales tax.

Explanation:

Consider the amount of the purchase as A.

The Carmen has $\$ 30$ in store bucks.

The new amount will be $\left( {A - 30} \right).$

There is a $25\%$ discount coupon for a local department store.

The amount after discount can be calculated as follows,

$\begin{aligned}{\text{Amount}} &= \left( {1 - 0.25} \right) \times \left( {A - 30} \right) \\&= 0.75\left( {A - 30} \right) \\\end{alignedd}$

The total amount should be less than $\$ 60$ before sales tax.

The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,

$\begin{aligned}0.75\left( {A - 30} \right) &\leqslant 60 \\\frac{{0.75\left( {A - 30} \right)}}{{0.75}} &\leqslant \frac{{60}}{{0.75}} \\ A - 30 &\leqslant 80 \\A - 30 + 30 &\leqslant 80 + 30 \\A &\leqslant 110 \\\end{aligned}$

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.

5 0

3 years ago

Read 2 more answers

Triangle ABC has angle measures as shown. What is the value of X? Show your calculations.

dezoksy [38]

180-96= 84
That means 8x+12=84
84-12=72
That means 8x=72
72÷8=9
therefore X=9

8 0

3 years ago

Which of the following statements is true about the three quadrilaterals?

emmasim [6.3K]

A. D and E are similar but not congruent.

8 0

3 years ago

Find an equation of the circle that has center (-1, 3) and passes through (-4, -2)

shepuryov [24]

Answer:

Your answer would be $(x + 1)^{2} + (y - 3)^{2} = {34}$ .

Step-by-step explanation:

The formula for the equation of a circle is $(x - h)^{2} + (y - k)^{2} = r^{2}$ , where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is $(x + 1)^{2} + (y - 3)^{2}$ . Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get $d = \sqrt{34}$ , so the radius is $\sqrt{34}$ . But, we want the radius squared, which is 34. So, the final answer is what I wrote above.

Hope that helped! :)

3 0

4 years ago

Similar Triangles

Fudgin [204]

Answer:

B. 3/9 = 4/12 = 1/3

Step-by-step explanation:

I calculated it logically

3 0

3 years ago