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madam [21]
3 years ago
13

Find the value of x. Show your work congruent triangles

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

We have a given triangle with two interior angles which are x + 23 and 80°. The third angle of the triangle would be equal to 4x + 17. This is because vertical angles are congruent.

Thus:

(x + 23) + 80 + (4x + 17) = 180

x + 23 + 80 + 4x + 17 = 180

5x + 120 = 180

Subtract - 120 both sides

5x = 180 - 120

5x = 40

Divide both sides by 5

x = 8

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A store is selling lemons at 2 for $3. Each lemon yields 2 tablespoons of lemon juice. How much will it cost to buy enough lemon
igor_vitrenko [27]

Answer:

It will cost $6 to buy enough lemons.

Step-by-step explanation:

Consider the provided information.

To make a 9-inch lemon pie requiring 1/2 cup of lemon juice.

1 cup = 16 tablespoons

1/2 cup = 8 tablespoons

That means we only need 8 tablespoons.

Each lemon yields 2 tablespoons of lemon juice.

Number of lemon required = 8 ÷ 2 = 4

That means we need only 4 lemon.

Store is selling lemons at 2 for $3 that means 4 lemons for $6.

Hence, it will cost $6 to buy enough lemons.

7 0
4 years ago
Read 2 more answers
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoni
m_a_m_a [10]

Answer:

Not proportional.

Step-by-step explanation:

The values do not begin from a straight line at the origin. X begins at 2, not the origin.

4 0
3 years ago
A)
andriy [413]

Answer:

a) 1/10

b) 110

Step-by-step explanation:

A) we start by getting the total number of rolls

That would be;

11 + 22 + 7 + 8 + 13 + 19 = 80

The frequency of getting a 4 is 8

The probability that the next roll will be a 4 is;

8/80 = 1/10

b) Firstly, we get the probability of getting a 2

We have this as:

22/80

So for 400 rolls, the number of 2’s will be;

22/80 * 400

= 22 * 5 = 110

8 0
3 years ago
What is the value of x?<br> Xx= 2<br> x= 3<br> x=4<br> x = 6
Luda [366]

Answer:

Falta información...

4 0
3 years ago
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Which criteria determine more than one triangle?
SSSSS [86.1K]

Answer: B

Step-by-step explanation:

Let's analyze each option:

A) We know all the sides:

Ok, if we know all the sides, we can make only one triangle with it, so this defines only one triangle:

B) We know only the angles, all the angles are the same so this is an equilateral triangle, now we can make infinity equilateral triangles if we change the length of the side, so this criterion makes more than one triangle.

C) We have two angles (so we basically have 3 angles, because all the angles of a triangle must add up to 180°) and one side, so the other two sides are defined already, with this we can make only one triangle.

D) Two sides and one included angle (meaning that this angle goes between the two known sides)

With this, we already can find the missing side and then the complete triangle, so this criterion only defines one triangle.

3 0
3 years ago
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