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Papessa [141]
2 years ago
15

In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, i

ntersecting arcs of equal size are drawn centered at points D and E. Point P is located at the intersection of these arcs.
Based on this construction, m∠ABP is
°, and m∠ABC is
Mathematics
1 answer:
Anna11 [10]2 years ago
3 0

Based on this construction, the value of m∠ABC is 64°.

<h3>How to find the angle?</h3>

From the point, E and D, two arcs are made which are intersecting each other at point P.

It means, that line BP is the bisector of angle ABC. ABC will be:

= 2 * 32=64

Therefore, based on this construction, the value of m∠ABC is 64°.

Learn more about construction on:

brainly.com/question/25795065

#SPJ1

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Directions: Simplify by combining like terms in each of the following expressions.
olganol [36]

Step-by-step explanation:

1. 10s2 + 10s2 - 13st = 20s2-13st

2. 13st + - 2st - t2 = 11st - t2

3. x2+ x2 + x3= 2x2 + x3

4. 6 x - 6 x + 2=X+2

5. 24x - 3s - 4t=24x - 3s - 4t

6. 86 + 86x - 1=85+86x

7. 4x + 3x - 2 =7x - 2

8. 7s - 4s + 3s =6s

9. 12 +11x - 10 x = 12+x

10. 12x + 24 x - 3 x - 4 =33x -4

11. 16t + 8t - 12t =12t

12. 17g + 19g - 2g +g =35g

13. 16 + 16 -16 + 16x =16+16x

14. 4s - 3s + 3s =4s

15. 12t - 11t + t =2t

6 0
3 years ago
The circumference of a circular rug is 24.8 meters. What is the area of the rug? Use 3.1 for pi
mestny [16]

Answer:

The area of rug is 48.9 m^2

Step-by-step explanation:

Let's assume radius of rug is r m

we know formula for circumference as

C=2\pi r

we are given

C=24.8

and then we can solve for r

24.8=2\pi r

r=3.947

now, we can use area formula

A=\pi r^2

we can plug r

and we get

A=\pi (3.947)^2

A=48.94227

So,

The area of rug is 48.9 m^2

4 0
3 years ago
Please help asap pleaseeeew
wel

Answer:

6.

Step-by-step explanation:

1) OA=d/2=20/2=10;

2) AB=AC/2=16/2=8;

3) \ OB=\sqrt{OA^2-AB^2} =6.

3 0
2 years ago
Select the product of (7x - 8)(4x + 9).
frozen [14]
Foil it out:
(7x)(4x)+(7x)(9)+(-8)(4x)+(-8)(9)
28x^2+63x-32x-72
28x^2+31x-72
8 0
3 years ago
Please help asap 20 points plus brainlest<br><br> 5\6 of a pound + 3\4 of a pound = ??
HACTEHA [7]

Answer: 19/12 pounds or 1.583 pounds

Step-by-step explanation:

Let a pound be represented by x. So x = 1 pound.

5/6 of a pound is the same as multiplying 5/6 × x. It becomes 5/6 × x = 5x/6

3/4 of a pound is the same as multiplying 3/4 × x. It becomes 3/4 × x = 3x/4

We want to look for 5/6 of a pound + 3/4 of a pound.

It becomes

5x/6 + 3x/4

Taking lowest common multiple(LCM) of 12, it becomes

= (2×5x + 3×3x) / 12

= (10x +9x)/12

= 19x /12

Substituting x = 1 pound,

It becomes 19/12 pounds

Expressing in decimal, 19/12 = 15.83

We can also solve from the beginning in terms of decimals

5/6 pounds = 0.833 pounds

3/4pounds = 0.75 pounds

5/6 pounds + 3/4 pounds = 0.833 + 0.75 = 1.583 pounds

8 0
3 years ago
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