All categories

3 years ago

Find the value of each variable.

Mathematics

1 answer:

kap26 [50]3 years ago

5 0

Answer:

EF = 18 in. & m∠F = 134 °

Step-by-step explanation:

Hi there,

In order to find the length of side EF, you should realize that this is an isosceles triangle. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

Therefore, EF is 18 inches because FG is 18 inches.

In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.

m∠E + m∠G + m∠F = 180°

23° + 23° + m∠F = 180°

46° + m∠F = 180°

m∠F = 134°

Hope this explanation helps you understand this problem. Cheers.

You might be interested in

Please help me with number 7

Wittaler [7]

"twelve decreased by twice a number" ---> 12 - 2x

"8 times the sum of number and 4" ---> 8(x + 4)

12 - 2x = 8(x + 4)

12 - 2x = 8x + 32 (distributive property)

12 = 10x + 32 (add 2x to both sides)

-20 = 10x (subtract 32 from both sides)

x = -2 (divide both sides by 10)

That's answer.

4 0

3 years ago

After college you start a job earning $40,000 a year. You get a 6% raise each year.

alex41 [277]

Answers: A) $44,944
B) $50,499.0784

Math: Using the percentage calculator linked below 6% of $40,000 is $2,400. Since you're getting your second raise after your first and since it is a 6% raise from what you're getting paid at that time we add pay raise 1 to your starting pay before calculating the 6% for pay raise 2. $40,000+$2,400=$42,400. 6% of $42,400 is $2,544. $42,400+$2,544=$44,944, Since that is two pay raises that would be your earnings at the end of year two (answer A).
We continue calculating 6% then adding that onto the total before calculating it for the next year for problem B.
6% of $44,944 is $2,696.64. $44,944+$2,696.64=$47,640.64.
6% of $47,640.64 is $2,858.4384. $47,640.64+$2,858.4384=$50,499.0784. That's answer B.

Hopefully you can figure out C on your own! I feel a little bad for giving a partial answer but I think you can do this!

Percentage calculator used-https://percentagecalculator.net/
Note: can't handle commas, remove all commas before entering data in.

7 0

2 years ago

A truck begins a trip of 1675 miles. The truck averages 55 miles per hour, including stops. create a table, a graph, and an equa

lawyer [7]

Let
x be the distance that the truck has left to travel
t be the the time

The total distance is 1675 miles
The average speed is 55 miles per hour

The equation that represents the distance that the truck has left to travel with respect to time is
55t + x =1675
x = -55t + 1675

3 0

2 years ago

(DONT ANSWER JUST FOR POINTS!!!) What is the ratio value shown by this double number line? [Type your answer as a fraction. Use

Komok [63]

Answer: 7/2

Step-by-step explanation:

To find the ratio between the 2 numbers u have to divide the top numbers by the bottom numbers. 7/2 = 3.5 converted into a fraction is 7/2.

Hope this helps :)

3 0

3 years ago

Two perpendicular lines intersect on the -axis. The equation of one line is y- 4x-6=0. Determine the equation of the other line.

Kay [80]

Answer:

y = $-\frac{1}{4}$ x + 6 or y = $-\frac{1}{4}$ x - 0.375

Step-by-step explanation:

For 2 lines to be perpendicular, their slopes must be negative reciprocals. In order to find the perpendicular of y - 4x - 6 = 0:

SLOPE INTERCEPT FORM: y = 4x + 6

SLOPE OF LINE A: m=4

SLOPE OF LINE B (the one you are looking for): m= $-\frac{1}{4}$

Since I don't know if you meant that they intercept on the x or y axis I will do both.

y-axis

y-6= $-\frac{1}{4}$ (x-0)

y = $-\frac{1}{4}$ x+6

x-axis

y-0= $-\frac{1}{4}$ (x-1.5)

y= $-\frac{1}{4}$ x-0.375

7 0

2 years ago