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3 years ago

13

Work out the value of x.Need answer soon :)

1 answer:

german3 years ago

6 0

Answer:

x+20

Step-by-step explanation:

As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.

So we plug everything in and we have 4x+5x=180 degrees

4x+5x=9x, so 9x=180

We divide by 9 on both sides to get the value of x, which is 20

Hope it helps!

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Mara's family is driving to her grandmothers' house. The family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.

Liula [17]

Answer:

53.2 mph

Step-by-step explanation:

Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.

1:40 p.m. is 13:40.

Thus, they traveled for

13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes

that is hours.

Use formula:

where

D = distance

r = rate

t = time.

In your case,

D = 239.4 miles

t = 4.5 hours

6 0

3 years ago

Read 2 more answers

M is a directly proportional to r cubed when r=4 M=160

Paraphin [41]

Answer:

1) When r = 2, M = 20.

2) When M = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

$M = ar^3$

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

$M = ar^3$

$160 = a(4^3)$

$64a = 160$

$a = \frac{160}{64}$

$a = 2.5$

So

$M = 2.5r^3$

1) work out the value of M when r=2

$M = 2.5*2^3 = 2.5*8 = 20$

When r = 2, M = 20.

2) work out the value of r when M=540

$M = 2.5r^3$

$540 = 2.5r^3$

$r^3 = \frac{540}{2.5}$

$r^3 = 216$

$r = \sqrt[3]{216}$

$r = 6$

When M = 540, r = 6.

7 0

3 years ago

Is (1, –4) a solution to the equation y = –2x?

givi [52]

No

Check

-4 = -2(1)

L.H.S

= -2(1)

= -2

is not = R.H.S.

8 0

4 years ago

Read 2 more answers

mihalych1998 [28]

Answer:

(5,38)

Step-by-step explanation:

<u><em>The correct question is</em></u>

A system of equations is shown below:

y = 8x − 2

y = 9x − 7

What is the solution to the system of equations?

(−5, 38)

(−5, −38)

(5, 38)

(5, −38)

we have

$y=8x-2$ ----> equation A

$y=9x-7$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$9x-7=8x-2$

solve for x

$9x-8x=7-2$

$x=5$

<em>Find the value of y</em>

Substitute the value of x in the equation A or in the equation B

$y=8(5)-2=38$

therefore

The solution is the point (5,38)

7 0

3 years ago

In the graph, z is a complex number represented as a vector from the origin. What is the product of z and its conjugate?

BlackZzzverrR [31]

Do you have a picture

7 0

3 years ago