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3 years ago

1 : What postulate or theorem can be used to prove △PQR ~ △STU ??

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Answer:

#1 is the AA postulate

Step-by-step explanation:

It is the AA postulate because both triangles have congruent angles, making the triangles similar.

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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol

iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let $x_1$ be the number of widgets sold and $x_2$ be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

$x_1+x_2=350...(1)$

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

$35x_1+22x_2=9,000...(2)$

From equation (1), we will get:

$x_2=350-x_1$

Substitute this value in equation (2):

$35x_1+22(350-x_1)=9,000$

$35x_1+7,700-22x_1=9,000$

$13x_1+7,700=9,000$

$13x_1+7,700-7,700=9,000-7,700$

$13x_1=1,300$

$\frac{13x_1}{13}=\frac{1,300}{13}$

$x_1=100$

Therefore, the company sold 100 widgets.

Substitute $x_1=100$ in equation (1):

$100+x_2=350$

$100-100+x_2=350-100$

$x_2=250$

Therefore, the company sold 250 gizmos.

3 0

3 years ago

Read 2 more answers

A cereal box is 8 inches by 2 inches by 12 inches. Its surface area is<br> square inches.

motikmotik

Answer:

272

Step-by-step explanation:

5 0

3 years ago

Mr.marquez had 123 eggs in a refrigerator in his restaurant.he put 32 more cartons of eggs in the refrigerator each carton conta

Reil [10]

Mr. Marquez has about 720 eggs.

8 0

4 years ago

David rode 2.5 kilometers on his bike. Jessie rode 2,050 meters on her bike. Who rode farther and by how many meters?

weqwewe [10]

2.5 kilometres is 2500 meters as 1km is 1000m

2500-2050 = 450m

as david is the one that rode 2.5 kilometres he rode further by 450 meters

8 0

3 years ago

Share £1200 in the ratio 3:5.

lutik1710 [3]

so you have the amount.

amount: 1200

then you have the ratio

ratio: 3:5

you have the count.

count: 2

and then you have the shares

shares: 8

and the amount per share is 150.00

so the total amount of shares is the sum of each person's ratio so,

so 1:5:2:3:9 = 1 + 5 + 2 + 3 +9 = 20 shares. hope that helps you..

6 0

3 years ago