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3 years ago

Find the measure of angle A

Mathematics

1 answer:

Akimi4 [234]3 years ago

8 0

Answer:

m<A = 36 degrees

Step-by-step explanation:

we know that the top angle is 90 degrees and so (x+46) + (x + 66) = 90

simplify and we get 2x + 110 = 90

x = -10

substitute -10 for x

m<A = (-10) + 46

m<A = 36

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Let g(x)= 2x and h(x)= x^2+4 evaluate (h•g)(-5)

Nataliya [291]

Answer:

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Step-by-step explanation:

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4 years ago

Ronald is distributing writing supplies to campers. He must give the same number of supplies to each camper and use all the supp

Liula [17]

Answer:

Robert can give writing supplies to at most 7 campers.

Step-by-step explanation:

The problem states that Robert must give the same number of supplies to each camper and use all the supplies. It means that the greatest number of campers that Robert can give writing supplies is the greatest common divisor(gcd) between the number of pencils and the number of note pads.

The gcd between two integers is the largest positive number that divides each of the integers. We can find this value by prime factorization.

The problem states that he has 14 pencils and 21 note pads. So we have to find gcd(14,21).

21 is not divisible by 2, so we try factoring by 3

14 is not divisible by 3, so we try factoring by 5

None of them are divisible by 5, so we move to 7

Both are divisible by 7, so

14 - 21 | 7

2 - 3

2<7, 3<7, so gcd(14,21) = 7.

Robert can give writing supplies to at most 7 campers.

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4 years ago

600 students were going on a field trip.

laiz [17]

Answer:

6,000 total items

Step-by-step explanation:

3*600=1800 (total juice)

2*600=1200 (total fruit)

2*600=1200 (total burritos)

2*600=1200 (total doritos)

1*600=600 (total milk)

1800+1200+1200+1200+600=6000

3 0

3 years ago

A rectangle has a perimeter of 18 inches. a new rectangle is formed by doubling the with W in tripling the length L as shown the

vladimir1956 [14]

a) The dimensions of original rectangle are length= 5 and width= 4.

b) The dimensions of new rectangle are length= 15 and width=8.

Step-by-step explanation:

length of a rectangle = l
width of a rectangle = w
Perimeter of a rectangle = 2(l+w)

Original rectangle :

18 = 2(l+w)

18 = 2l + 2w ---------(1)

New rectangle :

46 = 2(3l+2w)

46 = 6l + 4w ---------(2)

Solving the equations :

Multiply (1) by 2 and subtract (2) from (1)

4l + 4w = 36

-(6l + 4w = 46)

-2l = -10

l = 10/2

length = 5 inches.

Substitute l=5 in (1)

18 = 2(5)+2w

18 = 10+2w

2w = 8

w = 8/2

width = 4 inches.

length of new rectangle = 3(l) = 3 $\times$ 5 = 15 inches.

width of new rectangle = 2(w) = 2 $\times$ 4 = 8 inches.

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3 years ago

What is the approximate scale factor dilating from the blue image to the red image? Explain how you figured this out.

Taya2010 [7]

Answer:

dilation has on a figure when the scale factor is greater than zero but less than one

Step-by-step explanation:

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3 years ago