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madam [21]
3 years ago
12

ABC is an isoscles triangle. Angle A = 40°.

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

Answer:

70 degrees

Step-by-step explanation:

total angle in a triangle is 180 degrees

180-40= 140

Angle b and c is total of 140 degrees

they are isosceles so their measurements would be same.

angle b and c is 140÷ 2 = 70

so angle b is 70 degrees

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Reflection over x-axis

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2 years ago
What is the value of x?<br><br> Enter your answer, as a decimal, in the box.
iragen [17]

Answer:

x = 67.50 ft

Step-by-step explanation:

Consider, ΔMAB and ΔMNP,

∠M = ∠M (Common)

Given AB║NP and let MN as transversal,

∠MAB = ∠MNP (alternate angle)

Also, Given AB║NP and let MP as transversal,

∠MBA = ∠MPN (alternate angle)

Therefore, ΔMAB ≅ ΔMNP (By AAA similarity )

Thus, by CPCT,

\frac{MA}{MN}=\frac{MB}{MP}=\frac{AB}{NP}

consider first two ratios,

\frac{MA}{MN}=\frac{MB}{MP}

Substitute the values, MA = MN - AN = 49.5 ft

\frac{49.5}{71.5}=\frac{x}{97.5}

On solving for x , we get, x = 67.50 ft

Thus, value of x is 67.50 ft


3 0
3 years ago
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What is the approximate volume of the
zhannawk [14.2K]
The answer is : 10416.67ft^3

8 0
3 years ago
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The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
ipn [44]

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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