MATHEMATICS HIGH SCHOOL

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Triangle angle-sum theorem
For BRAINLY :) Triangle angle-sum theorem - 1

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  s = 53°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (s -20°) +(2s) + 41° = 180°

  3s +21° = 180° . . . . . . . . . . collect terms

  s +7° = 60° . . . . . . . . . . divide by 3

  s = 53° . . . . . . . . . . subtract 7°

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2. What is the area of a square computer screen with 21-in. sides? A. 220 sq. in. B. 42 sq. in. C. 441 sq. in. D. 84 sq. in

Answers

The area of a square is l^2=A because the length and width are the same length. So this would be 21^2 or 21*21. Your answer will be 441in^2.
THE ANSWER IS C: 441 SQ IN..............
GOOD LUCK

Can you draw an isosceles triangle with only one 80 degree angle. Is this the only possibility or can another triangle be drawn that will meet these conditions?

Answers

Answer:

The correct answer is yes, we can draw an isosceles triangle with only one 80° angle. NO this is not the only possibility.

Step-by-step explanation:

A triangle is a three sided figure. There are three types of triangles: Equilateral, Isosceles and Scalene triangle. The sum of angles in a triangle is 180°.

If all sides have equal length then it is an equilateral triangle. All angles of this triangle are equal.

If two sides are equal then it is an isosceles triangle. Two opposite angles are equal.

If none of the angles and sides are equal then we call it a scalene triangle.

Given one angle of the triangle is 80°.

There exists two possibilities. One, 80° is the equal angle and 80° is not the equal angle.

Required Case : 80° is not the equal angle, i.e. only one 80° angle.

We are to draw an isosceles triangle (say ABC) with one angle say ∠A as 80°.

Other two angles (∠B and ∠C) are 50° each as the other two angles are supposed to be equal. ((180-80)/(2)°).

Now let us consider side AB and AC be of length say a. These two sides are equal.

Thus now we have successfully constructed an isosceles triangle with only one 80° angle.

We can get infinitely many isosceles triangle by just varying the length of the equal side.

What is 8.2p-33.4=1.7-3.5p

Answers

8.2p-33.4=1.7-3.5p 

8.2p=1.7-3.5p+33.4         Add \ 33.4 \ to \ both \ sides

8.2p=-3.5p+35.1 

8.2p+3.5p=35.1                   Add \ 3.5p \ to \ both \ sides

11.7p=35.1 

(11.7p)/(11.7) = (35.1)/(11.7p)             Divide \ both \ sides \ by \ 11.7

p=3       Solution
p=3
First you add 33.4 to both sides. Then add 3.5p to both sides. Then divide 35.1 by 11.7 and you get 3. 

Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 57 and costs an additional 0.13 per mile driven. The second plan has an initial fee of 46 and costs an additional 0.15 per mile driven.For what amount of driving do the two plans cost the same?

What is the cost when the two plans cost the same?

Answers

Answer:

550 miles and 128.50

Step-by-step explanation:

57 + 0.13 x = 46 + 0.15 x

57 - 46 = 0.15 x - 0.13 x

11 = 0.02 x

x = 11 / 0.02 = 1100 / 2 = 550 miles

cost = 57 + 0.13 . 550 = 128.50

Question is in the picture

SAS

SSA

SSS

not congruent

Answers

SSS is the answer because the parallel sides are congruent and the line that divides the shape is reflexive and makes it congruent to itself...

QU =AD

QD=AU

DU is a common side of the triangles QUD and ADU,

so all three sides of these triangles are congruent, so we need postulate SSS.

Answer is SSS.

Una máquina llena 4 baldes de helado en 30 minutos, funcionando siempre a la misma velocidad Si ante un corte de luz, solo funcionó durante 45 minutos, ¿cuántos baldes habrá llenado?

Answers

Answer:

La máquina llenó:

6 baldes

Step-by-step explanation:

Por regla de tres:

4 baldes son a 30 minutos

M baldes son a 45 minutos

M = 45*4/30

M = 180/30

M = 6
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