All categories

3 years ago

What is the measure of angle A?

Mathematics

1 answer:

fgiga [73]3 years ago

5 0

Answer:

∠A=65º

Step-by-step explanation:

A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
Remove parenthesis, x+40+3x+10+180-6x=180
Combine like terms, -2x+230=180
Subtract 180, -2x=-50
Divide by -2, so x=25

Now:

∠CAB=(25+40)º=65º
∠ABC=[180-6(25)]º=30º
∠BCA=[3(25)+10]=85º

You might be interested in

Find the explicit formula for the given sequence.<br> 1,5, 25, 125, ....

Lyrx [107]

Answer:

you keep multiplying by five

Step-by-step explanation:

So 1 x 5 is five, 5 x 5 is 25, 25 x 5 is 125, so on and so forth.

8 0

4 years ago

Paulo wants to earn $2115by mowing lawns how will charge $70 for each law. He mows what is the minimum number of lawns that Paul

Ket [755]

Answer:

Paulo will need to mow at least 31 lawns to reach his goal of $2115.00.

Step-by-step explanation:

1. This is an inequality problem. The solution for this problem will involve creating in inequality to solve for the answer. To create an inequality, it is important to keep your information organized concisely.

Total = $2115.00

Lawn = $70.00

x = Amount of Lawns

2. From this information, the inequality can be formed.

70x $\geq$ 2115

3. Using the order of operations, solve the inequality.

x $\geq$ 2215/70

x $\geq$ 30.21

4. The minimum number of lawns Paulo needs to mow is 31 lawns to meet his goal of $2115.00.

3 0

4 years ago

3 to the x power - 1 = 9 to the x power+2

Tom [10]

So we need to solve:

3ˣ⁻¹ = 9ˣ⁺²

To do this, we need to have the same base for both sides of the equation.

So let's go with the base of 3.

3² = 9

3ˣ⁻¹ = (3²)ˣ⁺²

3ˣ⁻¹ = 3²ˣ⁺⁴

Since the bases are the same now, we need to get rid of them and we would get:

x - 1 = 2x + 4

Subtract both sides by 2x:

-x - 1 = 4

Add 1 to both sides:

-x = 5

Divide both sides by -1:

x = -5

8 0

3 years ago

What is the equation of the following line written in slope-intercept form?

ZanzabumX [31]

Answer:

_+5 is the best way to get the best way answer

7 0

3 years ago

Simplify 28-(8+4). (4-2).

Yanka [14]

7 0

3 years ago

Read 2 more answers