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4 years ago

Please help with this question!

Mathematics

1 answer:

IgorC [24]4 years ago

8 0

Answer:

QR = 5

Step-by-step explanation:

Since the parallelograms are similar, then the ratios of corresponding sides are equal, that is

$\frac{AB}{PQ}$ = $\frac{BC}{QR}$ , then

$\frac{9}{3}$ = $\frac{15}{QR}$ ( cross- multiply )

9QR = 45 ( divide both sides by 9 )

QR = 5

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6x-4y=-15 and x-4y=1

Harlamova29_29 [7]

Answer:

The solution to the given system of equations is

( $-\frac{16}{5}$ , $-\frac{21}{20}$ )

Step-by-step explanation:

Given system of equation are

$6x-4y=-15\hfill (1)$

$x-4y=1\hfill (2)$

To solve equation by using elimination method

Now subtracting equations (1) and (2)

$6x-4y=-15$

$x-4y=1$

_________________

5x=-16

$x=-\frac{16}{5}$

Substitute $x=-\frac{16}{5}$ in equation (1)

$6(-\frac{16}{5})-4y=-15$

$-\frac{96}{5}-4y=-15$

$-4y=-15+\frac{96}{5}$

$-4y=\frac{21}{5}$

$y=-\frac{21}{20}$

Therefore the solution is

( $-\frac{16}{5}$ , $-\frac{21}{20}$ )

4 0

3 years ago

Alla [95]

Answer:

the slope is 3/4

Step-by-step explanation:

Randomly pick two points

point 1 (0, -1)

point 2 (4, 2)

gradient = (y2-y1)/(x2-x1)

m = (2-(-1))/(4-0)

m = 3/4

4 0

3 years ago

The length of a track around a field is 1/4 miles. You run 3 1/2 times

irina [24]

Answer: 7/8 of a mile

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3 years ago

What is the volume of the square pyramid? Round to the nearest tenth

Minchanka [31]

ANSWER

$Volume = 480.0{cm}^{3}$

EXPLANATION

The volume of the square pyramid is given by;

$Volume = \frac{1}{3} {l}^{2} \times h$

Where l=12cm is the length of the square base and h=10cm is the height of the pyramid.

We substitute the values into the formula to get;

$Volume = \frac{1}{3} \times {12}^{2} \times 10 {cm}^{3}$

This simplifies to,

$Volume = \frac{1}{3} \times {12} \times 12\times 10 {cm}^{3}$

$Volume = 4 \times 12\times 10 {cm}^{3}$

$Volume = 480.0{cm}^{3}$

Third option is correct.

6 0

3 years ago

Read 2 more answers

Click in the appropriate box to indicate the match of each table of values to its equation.

balu736 [363]

Answer:

C, C and B

Step-by-step explanation:

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3 years ago