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1 year ago

I need help. I'll send a pic :)

1 answer:

7 0

$\begin{gathered} So,\text{ the angle }\angle Q=\angle R \\ 2x+38=180^{\circ} \\ 2x=142^{\circ} \\ x=71^{\circ} \\ So,\text{ the exterior anle at Q is } \\ \Rightarrow180^{}-71^{\circ} \\ \Rightarrow109^{\circ} \end{gathered}$

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5. 40 = }(9x + 30) + 2

Anvisha [2.4K]

Answer:

x=-16

Step-by-step explanation:

We are given with the equation

$40=-\frac{1}{3} \times (9x+30)+2$

We are asked to solve it for x.

Distributing $\frac{1}{3}$ over bracket and simplifying

$40=-(\frac{9x}{3}+\frac{30}{3})+2$

$40=-(3x+10)+2$

$40=-3x-10+2$

$40=-3x-8$

Adding 8 on both sides

$48=-3x$

Dividing both sides by -3

$x=-16$

7 0

3 years ago

A passenger jet flies at an average speed of 548 miles per hour. At that speed, how many miles does the plane travel in 4 hours?

marishachu [46]

The plane travels 2192 miles.

You’re multiplying 548 x 4 because the plane travels 548 an hour.

4 0

3 years ago

Corners of equal size are cut from a square with sides of length 8 meters (see figure).

AnnyKZ [126]

we know that

the area of the complete square is equal to

$As=b^{2}$

where

b is the length side of the square

$b=8m$

$As=8^{2}$

$As=64$ m²

the area of one corner is equal to the area of a triangle

$\frac{x^{2}}{2}$

the area of $4$ corners is equal to

$\frac{x^{2}}{2}*4=2x^{2}$

the area A of the resulting figure as a function of x is equal to

area of the square minus the area of $4$ corners

$A=(64-2x^{2})$ m²

the answer is

$A=(64-2x^{2})$ m²

8 0

3 years ago

Read 2 more answers

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3><u>Solution:</u></h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

6 0

3 years ago

A restaurant earns $1445 On Friday and $1624 on Saturday write and solve an equation to find the amount x in dollars the restaur

Assoli18 [71]

Answer:

(1445+1624+x)divided by 3=1500

Step-by-step explanation:

8 0

3 years ago