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3 years ago

A || b what’s the value of X?

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

<h3><u>Answer:</u></h3>

The value of x is 17.

<h3><u>Step-by-step explanation:</u></h3>

<u>We know that the lines are parallel because it is given that:</u>

a ∥ b

<u>Now, let's form an equation.</u>

=> 2x + 5 + 8x + 5 = 180

<u>Let's solve!</u>

=> 10x + 10 = 180
=> 10x = 170
=> x = 17

Hence, the value of x is 17.

$BrainiacUser1357$

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A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the t

mart [117]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

7 0

3 years ago

Evaluate 3x+y when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.

SOVA2 [1]

Answer:

3x+y

=3*1/3-7/4

=1-7/4

=(4-7)/4

=-3/4

6 0

3 years ago

On a bicycle ride,Betty rode 7 miles in 2 hours. At the same rate of speed,how far could she ride in 8 hours?Please hurry

prohojiy [21]

D 28 miles you want to multiply by 4 so 7x4 =28

3 0

3 years ago

What is the slope of the line?

zhannawk [14.2K]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Help me asap (please please)

CaHeK987 [17]

Area of a circle = pi*r^2.

Here, A = 380.13 mi. Unfortunately, "mi" is NOT a unit of area.

So I will assume that the problem should read A = 380.13 sq. miles.
380.12 mi^2
Thus, 380.13 mi^2 = 3.14*r^2, and r^2 = ------------------- 121.057 mi^2
3.14

The radius is the sqrt of 121.057 mi^2: 11.00 miles.

The diam. is twice that, or d = 22.00 miles.

4 0

4 years ago