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belka [17]
3 years ago
11

2 angles of a triangle are the same size. the 3rd is 3 times as large as the 1st​

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0

Answer:

36°, 36° and 108°

Step-by-step explanation:

let the equal angles be x then the third angle = 3x

The sum of the 3 angles in a triangle = 180°, thus

x + x + 3x = 180, that is

5x = 180 ( divide both sides by 5 )

x = 36

and 3x = 3 × 36 = 108

The 3 angles are 36°, 36° and 108°

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Tara wants to weigh her three stuffed animals. They will only fit on the scale two at a time. Together Addie and Missy weight 18
Pepsi [2]

Answer: Addie weighs 4 ounces

Missy weighs 14 ounces

Corky weighs 8 ounces

Step-by-step explanation:

Let a represent the weight of Addie.

Let m represent the weight of Missy.

Let c represent the weight of Corky.

Together Addie and Missy weigh 18 ounces. This means that

a + m = 18 - - - - - - - - - 1

Missy and Corky weigh 22 ounces. This means that

m + c = 22

m = 22 - c - - - - - - - - - - 2

Addie and Corky weigh 12 ounces. This means that

a + c = 12

a = 12 - c - - - - - - - - - - - 3

Substituting equation 2 and equation 3 into equation 1, it becomes

22 - c + 12 - c = 18

34 - 2c = 18

- 2c = 18 - 34 = - 16

c = - 16/ - 2 = 8

Substituting c = 8 into equation 2, it becomes

m = 22 - 8

m = 14

Substituting c = 8 into equation 3, it becomes

a = 12 - 8

a = 4

3 0
3 years ago
Solve the following system of equations. What is one x-value of a solution?
gulaghasi [49]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}

x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}

x = \frac{-36 \pm 33.11}{2}

x_1 = \frac{-36 + 33.11}{2}

x_1 = -1.445

x_2 = \frac{-36 - 33.11}{2}

x_2 = -34.555

5 0
3 years ago
A caterer for a wedding reception wants to use a recipe for eggplant salad that recommends using 1.8 kg of eggplant for 10
aalyn [17]
You need to go to school sorry I don’t know I just joined sorry
8 0
3 years ago
Jasper has $40,000 in a savings account that earns13% interest per year.The interest is not compounded. How much interest will h
alexandr402 [8]
Use calculator soup ;)
7 0
2 years ago
Please help me please
dimaraw [331]

Answer:

92

Step-by-step explanation:

92+88= 180 all suplementtary angles =180

6 0
2 years ago
Read 2 more answers
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