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11 months ago

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Help with finding proofs

1 answer:

nadya68 [22]11 months ago

7 0

Answer:

Statement: ∠XYZ = ∠ABC Reasons: Below

Step-by-step explanation:

For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.

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A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were women? b. What fraction were men?

Brums [2.3K]

a) The fraction of women is $\frac{12}{577}$

b) The fraction of men is $\frac{565}{577}$

Step-by-step explanation:

a)

In this part of the problem, we are asked to find what fraction of the prize winners are women.

We have:

$w=24$ (number of prizes awarded to women)

$m=1130$ (number of prizes awarded to men)

First of all, we calculate the total number of prizes awarded:

$p=w+m=24+1130=1154$

Now we find the fraction of prize winners who were women, which is given by:

$p(w) = \frac{w}{p}=\frac{24}{1154}$

And we can simplify by dividing both numerators and denominators by 2,

$p(w)=\frac{24}{1154}=\frac{12}{577}$

b)

The total number of prizes awarded is

$p=1154$

The number of prizes assigned to men is

$m=1130$

Therefore, the fraction of prize winners who were men is

$p(m)=\frac{m}{p}=\frac{1130}{1154}=\frac{565}{577}$

where we simplified the fraction by dividing both the numerator and the denominator by 2.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

8 0

3 years ago

A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time giv

allochka39001 [22]

Answer:

5t = 4b

Step-by-step explanation:

Here, we want to write a proportional relationship for b in terms of t

From the question, b represent the amount of candle burned away in a given time t hours

From what we have initially, 13 3/4 burnt in 11 hours

So in 1 hour, the amount burnt will be;

55/4/11 = 5/4

5/4 inches of candle burnt in 1 hour

5/4 inches = b/t

So b inches burnt in t hours

5/4 = b/t

5t = 4b

7 0

3 years ago

consider the expression -2 + 5a + B + 2a - 5b which term can be combined with 5a because they are like terms

scoray [572]

Answer:

2a could be combined with 5a

Step-by-step explanation:

they both have an (a) after them

7 0

3 years ago

Read 2 more answers

The 100th term of 70, 100, 130

fgiga [73]

Answer:

3040

Step-by-step explanation:

given arithmetic progression is

70,100,130,...

here

first term (a)=70

common difference (d)=100-70=30

number of term n=100

using the formula of arithmetic progression

an=a+(n-1)d

a100=70+(100-1)30

a100=70+99×30

a100=70+2970

a100=3040

6 0

2 years ago

dolphi86 [110]

The answer is 2x-26
1+2x-27 9*3= 27
1-27+2x You would combine like terms here
2x-26

8 0

2 years ago

Read 2 more answers