3 years ago

Two angles of a triangle measure 45 degrees and 90 degrees. What is the third angle measure?

Mathematics

1 answer:

neonofarm [45]3 years ago

6 0

Answer:

Step-by-step explanation:

Angles in a triangle add up to 180

Take 45 + 90 then subtract the answer from 180

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Simplify (8d4) (−8d4)

Katarina [22]

You answer will be -64d^8

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3 years ago

an architect wants to build three similar triangles such that the ratio of the middle triangle. The smallest one has side length

vampirchik [111]

Answer: 15

Step-by-step explanation:

small: 5 12 13

middle: __ 36 39

large: 45 108 117

Notice that to get from the small to the large, multiplied by 9

5(9) = 45 12(9) = 108 13(9) = 117

That is because the sides are proportional $\dfrac{5}{45}=\dfrac{12}{108}=\dfrac{13}{117}\rightarrow\dfrac{1}{9}$

To get from small to middle, multiply by 3

5(3) = 15 12(3) = 36 13(3) = 39

To solve it using proportions:

$\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x$

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3 years ago

Find the sum of the first 6 terms of the following series, to the nearest integer.

natka813 [3]

Answer:

1008

Step-by-step explanation:

geometric sequence:

a=16

r=32/16=2

Sum of GS:

s=a(1-r^n)/(1-r)

S(6)=16(1-2^6)/(1-2)

=1008

8 0

3 years ago

Jason complete 5/8 of his test and 10/25 of his homework. What fraction of his homework does he still need to complete?

sineoko [7]

Answer:

3/4

Step-by-step explanation:

Because the total homework would be 25/25

$\frac{25}{25}-\frac{10}{25} =\frac{15}{25}$

15/20 can be reduced to 3/4

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3 years ago

Find the missing dimension of the prism

Andrews [41]

X = 2 cm

Volume = Bh= 8×5×1/2×X= 80

X = 80/20 = 4

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3 years ago