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Valentin [98]
2 years ago
7

The diagram below shows an Isosceles triangle. Label the base angles and the vertex

Mathematics
1 answer:
Dmitry [639]2 years ago
6 0

The base angles of an isosceles triangle are equal

The base angles are 15 degrees, while the vertex angle is 150 degrees

The base angles are given as:

Base = (6a- 3) and (a + 12)

So, we have:

\mathbf{6a -3 =a + 12}

Collect like terms

\mathbf{6a -a =3 + 12}

\mathbf{5a = 15}

Divide both sides by 5

\mathbf{a = 3}

Substitute 3 for a in Base = (6a- 3),

\mathbf{Base = 6 \times 3 - 3}

\mathbf{Base = 18 - 3}\\

\mathbf{Base = 15}

So, the base angle is 15 degrees.

The vertex angle is calculated using:

\mathbf{Vertex=180 -2 \times Base}

So, we have:

\mathbf{Vertex=180 -2 \times 15}

\mathbf{Vertex=150 }

Hence, the vertex angle is 150 degrees

Read more about isosceles triangles at:

brainly.com/question/25739654

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10. Melissa has $20 to buy bagels and juice for her class. box of bagels bottle of juice 56.13, including tax $2.08, including t
adelina 88 [10]

The inequality for the maximum number of bottles of juice she can buy

6.13+ 2.08b <20.00

Option B

Given

Melissa has $20 to buy bagels and juice for her class

Box of bagels :   6.13 including tax

Bottle of juice: 2.08 including tax

She will buy only one box of bagels that is for 6.13

Let 'b' be the number of bottles of juice she can buy

Total cost should be less than 20 dollars

6.13(one bagels) +2.08(bottles of juices)<20

So the inequality becomes

6.13+2.08b

Learn more :  brainly.com/question/1836165

4 0
2 years ago
Kierston needs to paint a wall of the youth center. She knows that 1 can of paint covers an area of 2.2 square meters. Kierston
Step2247 [10]

Answer:

See Explanation

Step-by-step explanation:

Given

1\ can = 2.2m^2

Required

Determine the number of cans for the wall

The dimension of the wall is not given. So, I will use the following assumed values:

Length=20m

Width = 44m

First, calculate the area of the wall

Area = Length * Width

Area = 20m * 44m

Area = 880m^2

If 1\ can = 2.2m^2

Then x = 880m^2

Cross Multiply:

x * 2.2m^2 = 1 * 880m^2

x * 2.2m^2 = 880m^2

x * 2.2 = 880

Make x the subject

x = \frac{880}{2.2}

x = 400

400 cans using the assume dimensions.

So, all you need to to is, get the original values and follow the same steps

4 0
3 years ago
Solve 13x - 4 &lt; 12(x - 1).
Effectus [21]
13x - 4 < 12(x-1)
13x - 4 < 12x - 12
13x - 12x < -12 + 4
x < -8
x > 8

x is greater than 8
6 0
3 years ago
2/5+1/10+1/15 what is the answer for this question?
zimovet [89]
17/30 or .56 is your correct answer
4 0
2 years ago
Using number lines 80 is 25% of what number
Goshia [24]
25% can be made in to 100% by multiplying it by 4.

Therefore, we can find the answer by multiplying 80 by 4.


80 * 4 = 320
3 0
3 years ago
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