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serious [3.7K]
3 years ago
7

The measures of the angles of triangle RST are in the ratio 2:4:9. What are the measures of the angles ?

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0

Measures of the angles are 24°, 48° and 108°

Step-by-step explanation:

  • Step 1: Given ratio = 2:4:9. Sum of angles of triangle = 180°

Let angles be 2x, 4x and 9x.

⇒ 2x + 4x + 9x = 180

⇒ 15x = 180

⇒ x = 180/15 = 12

  • Step 2: Find angles.

2x = 24°, 4x = 48° and 9x = 108°

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Finger [1]

The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

Learn more about the area;

brainly.com/question/2289492

5 0
2 years ago
ΔABC has vertices A(0,10), B(4,10), and C(-2,4).
laiz [17]

A simple diagram will show you the intersection of altitudes is in the 2nd quadrant. It must have x-coordinate -2, as the altitude to the "base" y=10 must be the vertical line through (-2, 4).

The appropriate choice is ...

... C: (-2, 12)

8 0
3 years ago
How do you solve a linear equation
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It is hard to explain without a picture. You have the line graph and depending on what your numbers are, you place them where the teacher, (or paper) says too. You would then move two to the right, and one up. You would keep repeating that pattern until you got to the top of the graph. After that you would draw a strait line through it. If you are dealing with negative numbers, then depending on which one is negative, you would move two to the LEFT from the starting point and go one up. You repeat that pattern as well, then once you reach the top of the page you draw a line through it.
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Read 2 more answers
If C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E
ycow [4]
<h3>Answer:    -20</h3>

==========================================================

Work Shown:

Let x be the location of E on the number line.

Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2

midpoint = (endpoint1 + endpoint2)/2

C = (E+F)/2

Plug in E = x, C = -8 and F = 4. Then solve for x

C = (E+F)/2

-8 = (x+4)/2

(x+4)/2 = -8

x+4 = 2(-8) .... multiplying both sides by 2

x+4 = -16

x = -16-4 .... subtract 4 from both sides

x = -20

The location of point E on the number line is -20

-------------

As a check, lets add E and F to get E+F = -20+4 = -16

Then cut this in half to get -16/2 = -8, which is the proper location of point C

This confirms our answer.

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3 years ago
Is this a function. ?
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Answer:

No

Step-by-step explanation:

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