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2 years ago

Find the degree measure of each angle in the triangle.

Mathematics

1 answer:

vlada-n [284]2 years ago

7 0

Answer:

∠K = 46°
∠L = 90°
∠J = 44°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

90°
(4x + 10)°
(2x + 26)°

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

$\longrightarrow$ 90° + (4x + 10)° + (2x + 26)° = 180°

$\longrightarrow$ 126° + 6x = 180°

$\longrightarrow$ 6x = 180° - 126°

$\longrightarrow$ 6x = 54°

$\longrightarrow$ x = 9

Angles =

$\longrightarrow$ 4(9) + 10

$\longrightarrow$ 46°

$\longrightarrow$ 2(9) + 26

$\longrightarrow$ 44°

∠K = 46°
∠L = 90°
∠J = 44°

The angles are 46°, 90° and 44°.

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I need help fast what is 9m−(3+7m) simplified?

iogann1982 [59]

Answer:

Simplifying 9m + -3 + -7m = 0

Reorder the terms: -3 + 9m + -7m = 0

Combine like terms: 9m + -7m = 2m -3 + 2m = 0 Solving -3 + 2m = 0

Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right.

Add '3' to each side of the equation. -3 + 3 + 2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2m = 0 + 3 2m = 0 + 3 Combine like terms: 0 + 3 = 3 2m = 3

Divide each side by '2'. m = 1.5

Step-by-step explanation:

Hope this helps :)

4 0

2 years ago

A football coach is trying to decide: When a team is ahead late in the game, which strategy is better?

PSYCHO15rus [73]

Answer:

You are more likely to win by playing regular defense.

Step-by-step explanation:

Assume out of 100 reviewed games, there were 50 regular defense games and 50 prevent defense games. And out of 50 regular defense games, 38 were win, 12 were lose. And out of 50 prevent defense game, 29 were win, 21 were lose.

Probability to win the game by playing regular defense is:

P(win | regular) = 38/50 = 0.76

Probability to win the game by playing prevent defense is:

P(win | prevent) = 29/50 = 0.58

Since the probability of winning by regular defense game is more than prevent defense game (0.76 > 0.58), you are more likely to win by playing regular defense.

5 0

2 years ago

Read 2 more answers

What is the divisor in the following problem? 18 + 6 = 3 .

scoray [572]

They answer is 6........

8 0

2 years ago

Find the selling price for a case of Newman's Own® special blend coffee that costs the retailer $35.87 if the markup is 22% of t

mote1985 [20]

Answer:

The selling price is $46 approx.

Step-by-step explanation:

The cost price is = $35.87

Markup is 22% of selling price.

Let the selling price be = 100%

So, 100%-22%=78% = 0.78

So, solution is = $35.87/0.78=45.98$ ≈ $46.

Hence, the selling price is $46 approx.

4 0

3 years ago

How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?

VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

$\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)$

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

$\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))$

$\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)$

7 0

2 years ago