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3 years ago

Find the measure of the missing angle using the exterior angle sum theorm.

Mathematics

1 answer:

Aleks [24]3 years ago

7 0

Answer:

$25^{\circ}$

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180 degrees, and each side of a straight line is equal to 180 degrees. Therefore, the exterior angle labelled $150^{\circ}$ must be equal to the sum of the two angles marked $125^{\circ}$ and $?^{\circ}$ :

$125+x=150,\\x=150-125=\boxed{25^{\circ}}$

Thus, the missing angle is $25^{\circ}$ .

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(2a+b)^2 simplest form

creativ13 [48]

2^2a^2+b^2
4a^2+b^2
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3 years ago

The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews

RoseWind [281]

Answer:

there are 161 calories in 28 gram,then:

one gram of dry roasted cashews contains=161/28=5.75 calories

You eat 12 gram of it, =12*5.75=69 calories

9 cashews has 12gram, then:

one gram of dry roasted cashews contains= 9/12 = 0.75 cashews

there are total of 28gram in one serving.

Therefore cashews in one serving = 0.75*28=21cashews

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b)21cashews

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4 years ago

mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend

OLEGan [10]

Hey there! I'm happy to help!

If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

3/4×1 3/4= 1 5/16

Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!

3 0

4 years ago

What is the lcm for 7,14,16

MAXImum [283]

Answer:

112

Step-by-step explanation:

To find the least common multiple, we break the numbers down into prime factors

7 = 7

14 = 7*2

16 = 2*8 = 2*4*2 = 2*2*2*2

Then we take the largest number of times it appears in all the numbers

2 appears 4 times so we take take four 2's

7 appears 1 so we take one 7

LCM = 2*2*2*2*7

LCM = 112

7 0

3 years ago

An estimated 40% of all people were born after the year 2000. If two people are selected at random from around the world, what a

sukhopar [10]

The chances that NEITHER of these two selected people were born after the year 2000 is 0.36

<h3>How to determine the probability?</h3>

The given parameters are:

Year = 2000

Proportion of people born after 2000, p = 40%

Sample size = 2

The chances that NEITHER of these two selected people were born after the year 2000 is calculated as:

P = (1- p)^2

Substitute the known values in the above equation

P = (1 - 40%)^2

Evaluate the exponent

P = 0.36

Hence, the chances that NEITHER of these two selected people were born after the year 2000 is 0.36