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3 years ago

In the paper airplane shown

Mathematics

1 answer:

Murrr4er [49]3 years ago

5 0

Answer:

∠GHE = 55°

Step-by-step explanation:

ABCD is a quadrilateral (4 sided figure). We know that the sum of the interior angles (4 angles) of a quadrilateral in 360°.

Thus, A + B + C + D = 360

we know b = c = 90 and a = 125, thus we can find D.

125 + 90 + 90 + D = 360

305 + D = 360

D = 360 - 305 = 55°

Note: since Quadrilateral ABCD is congruent to Quadrilateral EFGH, then the measure of D is equal to measure of H (Angle GHE). Thus

∠GHE = 55°

2nd answer choice is correct

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ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 10

r= 2

Substitute the values in the formula

$^{10}C_{2}=\frac{10!}{2!(10-2)!}$

$^{10}C_{2}=\frac{10!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}$

$^{10}C_{2}=45$

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0

3 years ago

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Ilya [14]

30 miles in 40 minutes

since we need to know how many miles in 1 minute, divide both by 40 so that it goes down to 1 minute.

30/40=.75 miles/min or 3/4 miles/min

5 0

3 years ago

The answer to an addition problem is called a ___.\

goldenfox [79]

Answer:sum

Step-by-step explanation:

6 0

4 years ago

Drag each equation to show if it could be a correct first step to solving the equation

Ipatiy [6.2K]

Answer:

3 + 4x = 36----->No

(4.3)+(4 . x)= 36------>Yes

4(3 + x)= 144--------->No

3+ x = 9-------> Yes

12 + x = 36------>No

12 + 4x = 36------->Yes

Step-by-step explanation:

The given equation is

$4(3 + x) = 36$

A correct first step is to expand the LHS to get:

$12 + 4x = 36$

Or to divide through by 4 to get:

$3 + x = 9$

Or just distribute to get:

$4 \cdot 3 + 4 \cdot \: x = 36$

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3 years ago

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Nikolay [14]

Answer:

69kc

Step-by-step explanation:

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3 years ago

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