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prisoha [69]
4 years ago
14

Line XY bisects segment RS at E. If segment RE = x + 15 and SE = 2x - 8, find the value of x.

Mathematics
1 answer:
tatyana61 [14]4 years ago
3 0

Answer:

x = 23

Step-by-step explanation:

Segment bisector, XY, divides segment RS into two equal parts, RE and SE. Therefore, it follows that, RE and SE are congruent.

RE = x + 15

SE = 2x - 8,

To find the value of x, set RE equal to SE to get an equation.

Thus:

x + 15 = 2x - 8

Collect like terms

x - 2x = -15 - 8

-x = -23

Divide both sides by -1

x = 23

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soldi70 [24.7K]

Answer:

52

Step-by-step explanation:

48+8/2

48+4

52

7 0
3 years ago
A research organization keeps track of what citizens think is the most important problem facing the country today. They randomly
Nuetrik [128]

Answer:

Step-by-step explanation:

From the information given, the population is divided into sub groups. Each group would consist of citizens picking a particular choice as the most important problem facing the country. The choices are the different categories. In this case, the null hypothesis would state that the distribution of proportions for all categories is the same in each population. The alternative hypothesis would state that the distributions is different. Therefore, the correct test to use to determine if the distribution of​ "problem facing this country ​today" is different between the two different​ years is

A) Use a​ chi-square test of homogeneity.

8 0
3 years ago
Solve the system 3x+y=2 5x-y=8
Citrus2011 [14]

Answer:

x= 5/4 ; y= -7/4

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=2;5x−y=8

Step: Solve3x+y=2for y:

3x+y+−3x=2+−3x(Add -3x to both sides)

y=−3x+2

Step: Substitute−3x+2foryin5x−y=8:

5x−y=8

5x−(−3x+2)=8

8x−2=8(Simplify both sides of the equation)

8x−2+2=8+2(Add 2 to both sides)

8x=10

8x

8

=

10

8

(Divide both sides by 8)

x=

5

4

Step: Substitute

5

4

forxiny=−3x+2:

y=−3x+2

y=−3(

5

4

)+2

y=

−7

4

(Simplify both sides of the equation)

Answer:

x=

5

4

and y=

−7

4

3 0
3 years ago
Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.
algol13
We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:
a²=b²+c²-2bcCosA
Solving for the value of a, we have:
a²=10²+14²-2(10)(14)cos54°
a²=131.42
a=11.46
The answer is 11.46 or 11.5.
8 0
3 years ago
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Answer:

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4 0
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