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Y_Kistochka [10]
3 years ago
11

Can anyone help me with this?

Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer:

  b = 15°

Step-by-step explanation:

The base angles (c = ∠QRP) of ΔQPR are such that the sum of angles of the triangle is 180°. Since the triangle isosceles, the base angles are equal:

  2c +60 = 180

  2c = 120

  c = 60 . . . . . . degrees; the base angle of ΔQPR

__

Likewise, the base angle (∠SRP) of ΔSPR is ...

  a = (180 -90)/2 = 45 . . . . . degrees

__

The measure of angle b is the difference between the larger and smaller base angles:

  b = c -a = 60° -45°

  b = 15°

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Answer:

The Answer is D

Step-by-step explanation:

Loan D

7 0
3 years ago
Solve for x.<br><br> ​ 12(x−360)=120 ​<br><br> Enter your answer in the box.
kenny6666 [7]
12x-4320=120
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6 0
3 years ago
Read 2 more answers
wow I can't start typing the message an open cylindrical container has a base radius of 3.5 cm if the ratio of the area of its b
Mazyrski [523]

Answer:

  height = 10.5 cm (for open-top container)

Step-by-step explanation:

The area of the base is ...

  A = πr²

The lateral area is ...

  A = 2πrh

We want the ratio of these to be 1:6, so we have ...

  πr²/(2πrh) = 1/6

  6πr² = 2πrh . . . cross multiply

  h = 3r . . . . . . . divide by 2πr

  h = 3(3.5 cm) = 10.5 cm

The height is 10.5 cm.

5 0
4 years ago
Use the diagram to find the measures of each angle. Explain your reasoning.
Likurg_2 [28]

Answer:

angle ABC is 130 degrees

Step-by-step explanation:

This is the quickest and simplest way to gind the answer.

Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.

7 0
3 years ago
Solve the triangle: α = 40°, β = 35°, and a = 10.
luda_lava [24]

The triangle: α = 40°, β = 35°, and a = 10. is b = 8.9, γ = 105°, c = 15.0

<h3 /><h3>What is Sine Law?</h3>

If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side’s length to the sine of the angle opposite the side must all be the same.

a/ sin A = b/ sin B = c/ sin C

Using Angle sum property in a triangle we have,

α+β+ γ = 180

40+35+ γ=180

γ= 180-75

γ= 105°

Now,

c/ sin γ= a/ sin α

c/ sin 105= 10/ sin 40

c/ 0.96592 = 10 /0.6427

c = 15

again,

b/ sin  β=  a/ sin α

b/ sin 35=  10/ sin 40

b/0.5737= 15.559

b= 8.92

Learn more about sine law here:

brainly.com/question/17289163

#SPJ1

4 0
3 years ago
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