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Ber [7]
3 years ago
15

Whats the value of x?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

x = 8 units, measure of angle AFE = 60 degrees, measure of angle CFD = 60 degrees

Step-by-step explanation:

Finding x:

You know all three of the given measures add up to 180 because they are on the same side of the line. Write an equation and solve for x.

6x + 2 + 8x + 6 + 7x + 4 = 180

21x = 168 --> x = 8

Angle AFE:

Substitute the value of x in the given measure.

7x + 4 = 7*8 + 4 = 56 + 4 = 60

Measure of angle CFD:

Angle AFE is it's vertical angle, so their measures (60 degrees) are equal.

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Find the area of the following shapes:
Marina CMI [18]

Answer:

Area = 20 square units

Step-by-step explanation:

=> We know that;

Base 1: 3 units

Base 2: 7 units

Height: 4 units

=> Now let's come up with a congruent base first:

\frac{(3 + 7)}{2} = final base

10/2 = final base

5 = final base

=> Finally, Area of the trapezoid:

A = Final Base * Height

A = 5 * 4

A = 20 square units

Hope this helps!

6 0
3 years ago
Help me please and thanks I need help finding 3 integers​
Nataly_w [17]

Answer:

-5, -6, -7

Step-by-step explanation:

Integers represent whole numbers either positive, negative, or neutral (0). Since the equation marks all numbers that are less than -4; -5, -6,-7, all fit in that category.

7 0
3 years ago
A group of vacationing gamblers were asked which casino games they had played to date. 5 gamblers said they played blackjack, ro
leonid [27]

Answer: There are 13 gamblers who played exactly two games.

Step-by-step explanation:

Since we have given that

Number of gamblers played black jack, roulette and poker = 5

Number of gamblers played roulette and poker = 8

Number of gamblers played black jack and roulette = 11

Number of gamblers played only poker = 12

Number of gamblers played poker = 24

Number of gamblers who played only roulette and poker is given by

8-5=3

Number of gamblers who played only black jack and roulette is given by

11-5=6

Number of gamblers who played only poker and black jack is given by

24-(12+3+5)\\\\=24-20\\\\=4

So, the number of gamblers who played exactly two games is given by

3+6+4=13

Hence, there are 13 gamblers who played exactly two games.

7 0
3 years ago
PLEASE HELP ME WITH THIS!!
gregori [183]
The last one is the answer. GD is similar to MJ, and DE is similar to JK. While DE is similar to ML as well, it is more so to JK because they are facing the same way
3 0
4 years ago
You need 3/4 yard of ribbon for one gift box. You have 3 yards of ribbon. How many gift boxes do you have ribbon for
lora16 [44]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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