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Vlada [557]
2 years ago
14

Find the measure of each angle.

Mathematics
1 answer:
motikmotik2 years ago
6 0

Answer:

m∠2 = 98°,   m∠3 = 82°

Step-by-step explanation:

I'm going to assume this is a straight angle

  • Supplementary angles

Supplementary angle are two angles that equal 180°

m∠2+m∠3=180°

<h3>-Substitute</h3>

m∠2+m∠2-16=196°

<h3>add both side by 16°</h3><h3 />

2m∠2=196°

<h3>Divide both sides by 2</h3><h3 />

m∠2=98°

Since we said m∠3 = m∠2 - 16°

m∠3 = 82°

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Step-by-step explanation:

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3 years ago
If x=7+root 40 ,find the value of root x+1by the root of x​
Luda [366]

Chapter : Algebra

Study : Math in Junior high school

x = 7 + √40

find √x of √x + 1

= √x + 1

= √(7+√40) + 1

in Formula is :

= √7+√40 = √x + √y

= (√7+√40)² = (√x + √y)²

= 7+√40 = x + 2√xy + y

= 7 + √40 = x + y + 2√xy

→ 7 = x + y → y = 7 - x ... Equation 1

→ √40 = 2√xy → √40 = 2.2√10 = 4√10

= xy = 10 ... Equation 2

substitution Equation 1 to 2 :

= xy = 10

= x(7-x) = 10

= 7x - x² = 10

= x² - 7x + 10 = 0

= (x - 5)(x - 2) = 0

= x = 5 or x = 2

Subsitution x = 5 and x = 2, to equation 1

#For x = 5

= y = 7 - x

= y = 7 - (5)

= y = 2

#For x = 2

= y = 7 - x

= y = 7 - (2)

= y = 5

and his x and y was find :

#Equation 1 :

= x = 5 and y = 2

#Equation 2 :

= x = 2 and y = 5

So that :

√7+√40 = √x + √y

= √7+√40 = √2 + √5

And that is answer of question :

= √2 + √5 + 1

3 0
3 years ago
A plot of land is valued at $18,000.Land tax is charged at the rate of 0.70 per $100. What is the total amount of tax paid for t
Vladimir [108]

Answer:

<em>The total amount of tax paid for the land was $126</em>

Step-by-step explanation:

<u>Proportions</u>

The land tax charged is 0.7 per each $100 of the land value. For easy calculations, we find the ratio or proportion to be applied to the value of the land as:

0.7 / 100 =0.007

This factor can be used to obtain the tax charged for a given value of the land.

The plot of land of the question is valued at $18,000.

The tax charged is, then:

0.007*18,000 = 126

The total amount of tax paid for the land was $126

8 0
3 years ago
Terry is filling spherical water balloons with a faucet that puts out 100 cm^3 of water per second. At least rate, it takes Terr
stiv31 [10]

Answer:

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Step-by-step explanation:

its what I got off of Khan

7 0
3 years ago
There is a total of 270 men, women and children on a train.
ryzh [129]

Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:

Men to women becomes 8:10

Now total the 3 ratios: 8 for men, 10, for women and 9 for children:

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Divide total people by that number:

270/27 = 10

Multiply 10 by each ratio:

Men = 8 * 10 = 80

Women = 10 * 10 = 100

Children = 9 *10 = 90



There is 80 men.

6 0
3 years ago
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