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Andreyy89
2 years ago
6

What is the measure of J ?

Mathematics
1 answer:
gulaghasi [49]2 years ago
7 0

Answer:

45°

Step-by-step explanation:

a triangle is 180° and we can see that it is a right angled triangle. so we just subtract 90 from the 180 then divide that 90 by 2 to get 45°

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Ted need to score at least 70 on his three tests, he has scored already 85 and 60 on two test, what would be the third test scor
andriy [413]
First test: 85
second test: 60
third test: x = ?
total: 70

(85 + 60 + x) / 3 >= 70
You have to divide this by the number of tests Ted will take (in this case 3).
145 + x >= 70 * 3
x >= 70 * 3 - 145
x >= 210 - 145
x >= 65

Ted has to score at least 65 on his third test.
3 0
2 years ago
Jerry's basketball team makes 40 baskets for a total of 92 points in a basketball game. some of the baskets are worth 2 points,
Vladimir79 [104]
X = 2 pointers, y = 3 pointers

x + y = 40......x = 40 - y
2x + 3y = 92

2(40 - y) + 3y = 92
80 - 2y + 3y = 92
-2y + 3y = 92 - 80
y = 12 <=== Jerry's team made 12 three point shots
8 0
3 years ago
An engineer performs a flow test of a cooling water system. There are 32 flow elements. For each flow element she needs two 3 fe
belka [17]
268$ is your answer hope it helps:)
4 0
2 years ago
At an angle of elevation 610
Vadim26 [7]

Answer:

The height of the cliff CD is approximately 539.76 m

Step-by-step explanation:

The given parameters are;

The first angle of elevation with which the captain sees the person on the cliff = 61°

The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°

The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°

∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;

The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°

By sine rule, we have;

AB/(sin(a)) = BC/(sin(c))

Which gives;

92/(sin(8°)) = BC/(sin(61°))

BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m

BC ≈ 578.165 m

The height CD = BC × sin(69°)

∴  The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.

The height of the cliff CD ≈ 539.76 m.

5 0
2 years ago
Please answer with explanation, I don't understand.<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-14x%2B49%7D%20%3Dx
Crank

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7

6 0
2 years ago
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