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g100num [7]
2 years ago
15

Help me i’m stressed

Mathematics
1 answer:
Aleks04 [339]2 years ago
5 0

Answer:

<h3>m∠1 = 41°</h3><h3>m∠2 = 41°</h3>

Step-by-step explanation:

<h3>m∠1 = m∠2</h3>

{(6x + 11)}^{o}   =  {(10x - 9)}^{o}  \\ 11 + 9 = 10x - 6x \\ 20 = 4x \\  \frac{20}{4}  =  \frac{4x}{4}  \\ 5 = x \\

x = 5°,

m∠1 = (6x + 11)°

{(6x  + 11)}^{o}  \\ 6(5) + 11 \\ 30 + 11 \\  {41}^{o}  \\

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Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees
steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

<em>As we know that , Diameter is biggest chord which passes through center of circle,</em>

<em>Hence it divides the circle into two equal parts and making center as midpoint of it</em> .

(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so  arc DB=160 degree  or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

=340 degree.

Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0
3 years ago
an equilateral triangle and a regular pentagon have the same perimeter. Each side of the pentagon is 3 inches shorter than each
klemol [59]
The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5
6 0
3 years ago
If you flip two coins 16 times, what is the best prediction possible for the number of times both coins will land on tails?
mr_godi [17]

Answer:

2×16

=32

Step-by-step explanation:

hope it helps..

8 0
3 years ago
What is angle M? Just checking work
Artist 52 [7]
Sum of interior angles = 180
180 - 60 = 120

120/4 = 30
m<L = m<A = 60
m<M = 30
m<C = m<N = 3(m<M) = 3(30) = 90


6 0
3 years ago
Without expanding show that. Help please!​
zhannawk [14.2K]
Answer:
I’m sorry but I can’t answer until you explain
3 0
3 years ago
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