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sergey [27]
2 years ago
14

31 and 81 are in the bottom corners of the triangle X is at the top . What is X?

Mathematics
1 answer:
kati45 [8]2 years ago
7 0

Answer:

The top angle of the triangle is, X = 68°.

Step-by-step explanation:

Let there is a triangle named PQR with bottom corner angles ∠ P and ∠ Q and the ∠ R is the angle at the top.

Now, given that ∠ P = 31° and ∠ Q = 81° and we have to find out ∠ R i.e. X.

In Δ PQR, we know, ∠ P + ∠ Q + ∠ R = 180°

⇒ 31° + 81° + X = 180°

⇒ X = 68°

Therefore, the top angle of the triangle is 68°. (Answer)

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Determine whether each equation has one solution, no solution, or infinite solutions.
Sati [7]

Answer:

a. has one solution

b. infinite solution

Step-by-step explanation:

a.

2(x - 1) + 6 = 4x - 22

2x - 2 + 6 = 4x - 22

2x - 4x = 2 - 6 - 22

-2x = -26

x = 26/2

x = 13

b.

6(2x + 1) – 2 = 12x + 4

12x + 6 - 2 = 12x + 4

12x - 12x = 4 + 2 - 6

0 = 0

6 0
3 years ago
Soil sells for 8 1/4 cents per pound. How much would you save if you bought a 100- pound sack for $7.45?
asambeis [7]

Answer:

$0.80

Step-by-step explanation:

If the 100 pounds was bought separately (of course in real life you will probably not)

= 100 pounds x $0.0825/pound

= $8.25

As you can see it will cost more than if you buy a 100 pound sack.

Cost Difference = $8.25 - $7.45 = $0.80

That means you will save $0.80 from it.

4 0
2 years ago
I need help I been asking for hours pls help
blsea [12.9K]

Answer:

419 ft

Step-by-step explanation:

1063 ft is about 324002.4 mm

324002.4/477 to get the scale ratio. Which is 679.25:1

I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.

188*679.25=127699mm for one side.

Convert that back to ft and you get 418.959 which would just be 419 ft

6 0
3 years ago
Read 2 more answers
If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
user100 [1]

Answer:

∠ GDH = 67.5°

Step-by-step explanation:

The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ GDH = \frac{1}{2}(GH + EF) = \frac{1}{2} (90 + 45)° = 0.5 × 135° = 67.5°

6 0
3 years ago
How do you sketch the angle in standard position and 40 degrees
katen-ka-za [31]
A 40 degree angle: go from the right positive side of the x-axis and go left (left is positive degrees) forty degrees, which is a little less than halfway in quadrant 1.
8 0
2 years ago
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