All categories

3 years ago

I’ll give brainly The measure of ABC = 180°.

Mathematics

1 answer:

PolarNik [594]3 years ago

5 0

Answer:

y=37

Step-by-step explanation:

the addition of the 3 angles is 180°

then 40 + y +29 +2y = 180

69 + 3y =180

3y = 180 -69

3y= 111

y =111 ÷ 3

y = 37

You might be interested in

There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

Variance = $\frac{1+0+1}{\textup{2}}$

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

Variance = $\frac{1+0+1+0}{\textup{3}}$

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0

3 years ago

The sum of the lengths of two sides of a triangle is always greater then the length of the third side.

Tanya [424]

Answer:Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side

Step-by-step explanation:

5 0

3 years ago

17+4h+2=1-5h what does the variable equal ?

olga2289 [7]

1. 17+4h+2=1-5h
2. 19+4h=1-5h
3. 18+4h=-5h
4. 18=-9h
5. -2=h

5 0

3 years ago

Tony bowled 135 and 145 in his first two games. write and solve a compound inequality to find the possible values for a third ga

stira [4]

The average has to be at least 120 and at most 130
To calculate the average we need the sum of all values divided by the number of values, in this case, three (135, 145 and the third result).
120 ≤ (135 + 145 + n)/3 ≤ 130

In inequalities like this, what we change in one side, must be changed in the othe rside as well.
360 ≤ 280 + n ≤ 390
80 ≤ n ≤ 110

5 0

3 years ago

Which relationship describes angles 1 and 2?

Crazy boy [7]

Supplementary angle.

5 0

3 years ago