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umka21 [38]
3 years ago
13

How do I solve inscribed angles?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
The triangles are similar so the angles are equal
2x^2 - 2 = 10x - 2
2x^2 - 2 - 10x + 2 = 0
2x^2 - 10x = 0
2x(x - 5) = 0
2x = 0       OR        x - 5 = 0
x = 0         OR        x = 5
0 doesn't make sense, because IF I plug 0 into 2x^2 - 2 I get a negative number.  We need to use 5 to find the angle measure

2(5^2) - 2 = 2(25) - 2 = 50 - 2 = 48 degrees or the measure of CED
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Given that m/_a=40 and m/_b=61 find that the measure of angles x and y
brilliants [131]
Answer:
y = 140, x = 159
Step-by-step explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x
7 0
1 year ago
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A code consists of a single digit number from 0-9 and a letter from the alphabet. What is the probability that the code is 3Z? W
Nana76 [90]
The probability of it being 3Z is 1/27
4 0
3 years ago
Find the value of x and y
Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

  • value of x
  • value of y

<u>Let's gather some information</u>:

  • ΔA'BC' and ΔABC are similar triangles

             ⇒ Angle B is shared by both triangles

             ⇒ Angle A' and A are the same, as they are both on parallel

                   lines, A'C' and AC, and both angles are formed with the

                   same line AB

                 ⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

   ⇒ their side lengths are proportional to each other

  • let's find x's value

          ⇒ let's set up a proportion

                 \frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143

  • let's find y's value

          ⇒ let's set up a proportion

                 \frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25

<u>Answer:</u>

  • <u>x= 17.143</u>
  • <u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

 

5 0
2 years ago
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Answer:

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Explanation:

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8_murik_8 [283]

Answer:

D -2x-6

Step-by-step explanation:

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