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2 years ago

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Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measure

s of EFG and the measure of gfh

1 answer:

kakasveta [241]2 years ago

4 0

Since angle EFG and GFH forms a linear pair, this only means that the sum of the two is equal to 180°. That is:

EFG + GFH = 180

So,

4n + 25 + 3n + 15 = 180

7n + 40 = 180

7n = 140

n = 20

Therefore:

EFG = 4n + 25 = 105°

<span>GFH = 3n + 15 = 75°</span>

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I really need help!!!

Zigmanuir [339]

Answer:

$Pr = 6.67\%$

Step-by-step explanation:

Given

$n = 10$ i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

$Total = n!$

$Total = 10!$

If the three are to be next to each other,

First, we arrange the three

$r_1 = 3!$

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

$r_2 =8!$

So, the total arrangement, when they have to be next to one another is:

$r = r_1 * r_2$

$r = 3! * 8!$

The probability is:

$Pr = \frac{r}{n}$

$Pr = \frac{3! * 8!}{10!}$

Expand

$Pr = \frac{3*2*1 * 8!}{10*9*8!}$

$Pr = \frac{3*2*1}{10*9}$

$Pr = \frac{6}{90}$

$Pr = 0.0667$

Express as percentage

$Pr = 0.0667 * 100\%$

$Pr = 6.67\%$

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2 years ago

What kind of number is 3 2/3?

makvit [3.9K]

Answer:

Step-by-step explanation:

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2 years ago

Hurry 40 minutes left

kipiarov [429]

Answer:

Her solution is correct

(6-2)^2 + (8-3)^2

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2 years ago

What is the distance between (-1,4) and (2,0)

Ivahew [28]

Answer: 5

The Distance between the coordinates of two points is measured by distance formula.

Step-by-step explanation:

The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by

Distance PQ= $\sqrt{}$ (x2-x1)²+(y2-y1)²

So, the distance between (-1,4 ) and (2,0) can be calculated by

Distance= $\sqrt{}$ (2-(-1))²+(0-4)²

= $\sqrt{}$ (3)²+(-4)²

= $\sqrt{}$ 9+16 = $\sqrt{}$ 25 as $\sqrt{}$ 25 = 5

Distance = 5

So the distance between the two coordinates is 5.

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2 years ago

If line GH and line JK form a right angle and intersect at P are they perpendicular?

emmasim [6.3K]

Yes

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3 years ago