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3 years ago

Does this equation have an ordered pair as a solution 5x - 3y = 15 ; (0,5)

Mathematics

1 answer:

zzz [600]3 years ago

6 0

5 (0) - 3 (5) = 15
- 15 = 15

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State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

never [62]

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

$\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}$

substitute the given values

$\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}$

$0.67=0.67=0.67$ ----- is true

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

8 0

2 years ago

Dwayne used 2 gallons of paint to cover 750 square feet and 5 gallons of paint to cover 1,875 square feet. How many gallons of p

Levart [38]

Dwayne would have to use 7 gallons im pretty shure.

6 0

2 years ago

Read 2 more answers

Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2) and D(1,2) dilates with respect to the origin to give rectangle A’B’C’D’.

Delvig [45]

Answer: Option C.

Step-by-step explanation:

You need to find the distance AB with the formula for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

$AB=\sqrt{(4-1)^2+(1-1)^2}=3$

You know that A'B'=6, then the scale factor of dilation can be calculated with:

$k=\frac{A'B'}{AB}$

Substituting values, you get:

$k=\frac{6}{3}\\\\k=2$

This matches with the option C.

8 0

2 years ago

Read 2 more answers

2x - 3x - 18 + -18 + 2x + 5x x= .....? A.X=4.5 B.X=0 C.X=6 D.X=-4.5 :) please help?

Troyanec [42]

Answer:

-36+7x

Step-by-step explanation:

8 0

3 years ago

Please help me.

Kipish [7]

Answer:

B(3)

Step-by-step explanation:

reorder 1,2,3,4,5

middle number is 3

7 0

3 years ago