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3 years ago

Find the measure of angle C of △ABC, if: m∠A=60°+α, m∠B=60°−α.

Mathematics

1 answer:

allochka39001 [22]3 years ago

7 0

Answer:

In a triangle, sum of three angles=180°

So, A+B+C=180

C=180-A-B

C=180-60-a-60+a

C=60°

Hope it helps :-)

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What is the value of x

RideAnS [48]

Answer:

x=5

Step-by-step explanation:

We can use the Triangle Angel Bisector Theorem

AB 2x-1

----------= --------------

AC 3x

9 2x-1

----------= --------------

15 3x

Using cross products

3x*9 = 15*(2x-1)

Distribute

27x = 30x-15

Subtract 30x from each side

27x-30x = 30x-30x-15

-3x = -15

Divide by -3

-3x/-3 =-15/-3

x =5

4 0

3 years ago

in a school gym, the ratio of the number of boys to the number of girls was 4:3 . after 160 boys left the gym, the ratio became

Annette [7]

Answer:

300 girls were there in the gym.

Step-by-step explanation:

Given:

The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.

Now, to find the number of girls in the gym.

The girls in the gym does not left, their quantity is same before and after.

So, we multiply the both ratios to make the girls ratio same:

4:3 × 5 = 20:15

4:5 × 3 = 12:15

Now, we find the units of the ratio.

The ratio of boys dropped down by 160:

20 - 12 = 8 units.

160 = 8 units

Now, dividing both sides by 8 we get:

20 = 1 unit

So, 1 unit = 20.

Now, girls = 15 units

So, 15 × 20 = 300.

Therefore, 300 girls were there in the gym.

3 0

3 years ago

If a triangle has sides of length 6 cm and 8 cm, what are the largest and smallest possible lengths for the third side?

mixer [17]

Answer:

Step-by-step explanation:

Not sure

5 0

3 years ago

Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students

Roman55 [17]

Answer:

2.28%

Step-by-step explanation:

Given:

μ = 80
σ = 12
x = 104

Find z-score:

z = (x - μ)/σ
z = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

100 - 97.72 = 2.28

5 0

3 years ago

Factor the expression using the GCF. 18-12

rodikova [14]

Answer:

6(3-2)

Step-by-step explanation:

Find the GCF of both numbers. The GCF is 6. Write it as 6( - )

Then, divide both numbers by 6. 18 divided by 6 is 3 and 12 divided by 6 is 2. Fill in the blanks with 3 and 2. A=6(3-2)

7 0

3 years ago