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3 years ago

If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.

Mathematics

1 answer:

Bogdan [553]3 years ago

7 0

Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5

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How do i estimate quotients 933 divided by 3

Maurinko [17]

K, so
remember that $\frac{a+b+c}{d} = \frac{a}{d}+ \frac{b}{d}+ \frac{c}{d}$
so
$\frac{933}{3}=\frac{900+30+3}{3} = \frac{900}{3}+ \frac{30}{3}+ \frac{3}{3} = 300+10+1=311$

8 0

3 years ago

A pole that is 3.1 m tall casts a shadow that is 1.79 m long. At the same time, a nearby building casts a shadow that is 40.75 m

Vesnalui [34]

Answer:

the building is 24m tall

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for adm

IgorC [24]

Answer:

16.7% of GMAT scores are 647 or higher

Step-by-step explanation:

The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.

In this problem, we have that the mean $\mu$ is 547 and that the standard deviation $\sigma$ is 100.

a. What percentage of GMAT scores are 647 or higher?

647 is 1 standard deviation above the mean.

So, 50% of the values are below the mean. Those scores are lower than 647.

Also, there is the 34% of the values that are above the mean and are lower than 647.

So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.

The sum of the probabilities must be 100

So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.

3 0

3 years ago

Two consecutive integers are such that 3 times the larger exceeds twice the smaller by 34. find the integers.

julsineya [31]

x - a smaller number

(x+1) - a larger number

3(x+1) - 2x = 34

3x + 3 - 2x = 34

x= 31

(x+1) = 32

7 0

3 years ago

Read 2 more answers

Given it's midpoint and one endpoint apply the midpoint formula and solve for x and y midpoint (22,15) endpoint (18,6

Nutka1998 [239]

Midpoint formula

mid of (x1,y1) and (x2,y2) is
$( \frac{x2+x1}{2}, \frac{y2+y1}{2})$

so

(22,15)= $( \frac{18+x1}{2}, \frac{6+y1}{2})$
therefor

22= $\frac{18+x1}{2}$
and
15= $\frac{6+y1}{2}$

slv each
22= $\frac{18+x1}{2}$
times both sides by 2
44=18+x1
minus 18 both sides
26=x1

15= $\frac{6+y1}{2}$
times both sides by 2
30=6+y1
minus 6
24=y1

the other point is (26,24)

4 0

3 years ago