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2 years ago

Find the measures of two supplementary angles if their measures are the given ratio 2:3

Mathematics

2 answers:

ladessa [460]2 years ago

7 0

Answer:

Answer is on the attachment.

arsen [322]2 years ago

6 0

Answer: 2:5

Step-by-step explanation: a simple memorization is to add the 2 parts of the ratio (5) and keep the original part (2) and thus you get 2:5

this is how my geometry teacher taught it.

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Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inc

IgorC [24]

5 ft = 5 * 12 in = 60 inches
Four consecutive even numbers are: x, x + 2, x + 4, x + 6
x + x + 2 + x + 4 + x + 6 = 60
4 x + 12 = 60
4 x = 60 - 12
4 x = 48
x = 48 : 4
x = 12
Answer:
Those shelves should be: 12, 14, 16 and 18 inches long.
Verification: 12 + 14 + 16 + 18 = 60 in = 5 ft.

7 0

4 years ago

Find the zeros of polynomial function and solve polynomials equations.<br> f(x)=24x^3-64x^2-21x+56

8090 [49]

Since this polynomial has 4 terms, factoring by grouping should be the first thing we try here.

So, we have:

$8x^2(3x-8)-7(3x-8)=0 \implies\\ (8x^2-7)(3x-8)=0$

So, we can use ZPP to find out roots:

$3x-8 =0 \implies\\ x=\frac{8}{3}\\ 8x^2-7=0 \implies \\ 8x^2=7 \implies \\ x^2=\frac{7}{8} \implies \\ x=\pm\frac{\sqrt{7}}{\sqrt{{8}}}\\ \text{Rationalizing denominator:}\\ x=\pm\frac{\sqrt{56}}{8}$

So our three roots are:

$x \in \{\frac{8}{3},\frac{\sqrt{56}}{8},-\frac{\sqrt{56}}{8}\}$

8 0

3 years ago

1. Write a paragraph proof for the following conjecture.

Scorpion4ik [409]

PQS would be set equal to SQR
PQS equals 45 degrees and QS bisects PQR
so therefore 45+45 would have to equal 90, since half of 90 is 45

8 0

4 years ago

Read 2 more answers

What's the answer to this question

Finger [1]

It's -4 no? At least I think it is haha

4 0

3 years ago

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What is the square root of 500

noname [10]

500 is not a perfect square number. Therefore, find the factors of 500 with the largest perfect square. In this case, 100 is the largest perfect square number in 500.
$500= \sqrt{500} ^2$

$\sqrt{500}=\sqrt{100*5}$

$\sqrt{500}=\sqrt{100}\sqrt{5}$

$\sqrt{500}=10\sqrt{5}$

If you are simply looking for the calculator result, you will get $22.36$

6 0

3 years ago

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