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zhuklara [117]
3 years ago
10

What theorem or postulate can you use to determine a relationship between these two angles? Solve for x.

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0
It's the consecutive interior angles theorem; it goes like this:

95° = (2x + 5)<span>°
90</span><span>° = 2x</span>
45<span>° = x

Basically it says the alternate interior angles of two parallel lines that are cut by a transverse line are equal/the same.
</span>


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The length of a rectangle is six times it’s width. If the area of the rectangle is 150ft^2, find its perimeter.
sineoko [7]

Answer:

Perimeter = 70ft

Step-by-step explanation:

Area of a rectangle is:

area = (length * width)

150 = a * b

a = 6b

a = length

b = width

then:

150 = 6b*b

150 = 6b²

b² = 150/6

b² = 25

√b² = √25

b = 5ft

a = 6b

a = 6*5

a = 30ft

then:

perimeter of a rectangle is:

p = 2(a+b)

p = 2(30 + 5)

p = 2*35

p = 70ft

7 0
3 years ago
(0,8)<br> (-2,0). What is the equation of the linear graph shown?
Alex73 [517]

Answer:

4

x value increases  by 2 in the time it takes y value to increase by 8

8/2 = 4

6 0
3 years ago
In stratified random sampling,(A) randomly selected elements within each of the strata form the sample.(B) all elements within t
otez555 [7]

Answer: (A) randomly selected elements within each of the strata form the sample.

Step-by-step explanation:

Stratified random sampling is a random sampling technique in statistics .

  • It includes the partition of the entire population into sub-parts called strata.
  • The strata are formed on the basis of the characteristics shared by members .
  • After the formation of strata, researcher randomly selects participants from each strata to ensure that that the participant of every group must involve in the sample to represent each character.

Hence, the correct answer is :

(A) randomly selected elements within each of the strata form the sample.

8 0
3 years ago
Un dulce de chocolate de 30gr, marca en su empaque que contiene el 10% de cocoa, ¿Cuántos gramos de cocoa representa esto?
guajiro [1.7K]

Answer:

The mass of cocoa in chocolate candy is 3 g.

Step-by-step explanation:

30gr chocolate candy, mark on its packaging that it contains 10% cocoa, how many grams of cocoa does this represent?

mass of chocolate candy = 30 g

cocoa contains = 10 %

Now the mass of cocoa = 10 % of 30 g = 0.1 x 30 = 3 g

Mass of cocoa in the candy is 3 g.

7 0
3 years ago
7/3 into a mix number
goldenfox [79]

Answer: 2 1/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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