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hodyreva [135]
2 years ago
11

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
pashok25 [27]2 years ago
7 0

Answer:

x = 120

y = 30

Step-by-step explanation:

Given that RST is equilateral, each of its interior angles will be 60 degrees

Looking at x, it lies on a starting line with one of the interior angles of RST

The sum of angles on a straight line is 180

Thus;

x + 60 = 180

x = 180-60

x= 120

Looking at triangle RSU, the markings indicates that we have an isosceles triangle

For an isosceles triangle, the base angles are equal in value

This means that SRU is also y

Mathematically, the sum of angles in a triangle is 180

Hence;

x + y + y = 180

x + 2y = 180

120 + 2y= 180

2y = 180-120

2y = 60

y = 60/2

y = 30

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Write the expression in complete factored form. 2a(u+2)+9(u+2)=
KIM [24]

Answer:

(u+2)(2a+9)

Step-by-step explanation:

2a(u+2)+9(u+2)

Taking (u+2) common

We get

(u+2)(2a+9)

5 0
3 years ago
1. Find the area of the polygon
zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

7 0
2 years ago
Ac is tangent to circle o at point c what is the length of ac?
MissTica

Answer:

The Answer is 12

Step-by-step explanation:

Use Pythagorean theorem. AB=8 and BO=5 We still need to find AO

AO=AB+BO

8+5

AO=13

Now solve for AC

AC^2 + OC^2= AO^2

AC^2+5^2=13^2

AC^2+ 25=169

AC^2=144

AC= 12

5 0
3 years ago
The sum of two numbers is 43, and their product is 450. What is their difference?​
kow [346]

Answer:

List the factors of 450

1,450

3,150

5,90

6,75

9,50

10,45

15,30

18,25

The factor with the sum of 43 is 18+25

25-18=7 so the difference is 7

hope this helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find x and y <br><br> pls help
Assoli18 [71]

Step-by-step explanation:

(3x+6)= 48(Alternate angles)

3x=48-6

3x=42

x=14

2y+48=5y-9 (Sum of two opposite interior angles= exterior angle)

48+9=5y-2y

57=3y

y=19

8 0
2 years ago
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