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Wewaii [24]
3 years ago
15

Find the measure of each angle listed below. Enter only numbers without space.

Mathematics
1 answer:
Sloan [31]3 years ago
7 0

9514 1404 393

Answer:

  1. ∠PTQ = 45°
  2. ∠QTR = 15°
  3. ∠PTS = 120°

Step-by-step explanation:

Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).

Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.

  ∠PTQ = 45°

  ∠QTR = ∠PTR -∠PTQ = 60° -45°

  ∠QTR = 15°

  ∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS

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Cual es la ecuación de la recta vertical que pasa por (2,3)?
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6 0
3 years ago
A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie
maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

<u>Step-by-step explanation:</u>

Patient normal intake of coffee daily = 5 times 12 ounces

                                                          = 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$\frac{60 \times 60}{100}= 36 ounces

40 % of 60 ounces is 24 ounces.

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6 0
3 years ago
This doesn't makes sense can anyone explain? Test on Friday!!
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5 0
3 years ago
Write an inequality for x that would give this isosceles triangle and perimeter of at least 137 ft. 4x+3 2x+7
neonofarm [45]

Answer:

The inequality is 8x+17\geq 137

Step-by-step explanation:

Given : The isosceles triangle with base and side 4x+3, 2x+7.

And the perimeter is at least 137ft.

To write : An inequality for x

Solution : Let the base b=4x+3 and sides s=2x+7

The perimeter of Isosceles triangle is P=2s+b

where s=side and b=base

Now, we have given that perimeter is at least 137 ft.

Therefore, the inequality form is

2(2x+7)+(4x+3)\geq 137

4x+14+4x+3\geq 137

8x+17\geq 137

5 0
3 years ago
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