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ArbitrLikvidat [17]
3 years ago
14

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?

Mathematics
2 answers:
exis [7]3 years ago
6 0
48 degrees

All three sides of the triagnle must add up to 180 degrees!

hope this helps :)
scZoUnD [109]3 years ago
3 0
Hat means y + z = 180. 

<span>y is thrice than z means y = 3 * z. </span>

<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>

<span>combine like terms to get 4 * z = 180. </span>

<span>solve for z to get z = 180 / 4 = 45 degrees. </span>

<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>

y = 135
<span>z = 45 </span>

y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>

<span>solution is confirmed to be good.</span>
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Can someone help please?
Katarina [22]

Answer:

g = 6

Step-by-step explanation:

<em>To find the slope you do:</em>

m = change in y ÷ change in x or (y2 - y1) ÷ (x2 - x1)

  • x1 = 4, y1 = -7
  • x2 = g, y2 = -3
  • m (the slope) = 2

<em>Sub in the values:</em>

2 = (-3 - -7) ÷ (g - 4) - we can simplify this

2 = (4) ÷ (g - 4)

4 divided by what gives us 2? 2. This means that g - 4 = 2, g = 2 + 4 which is 6:

g = 6

Hope this helps!

8 0
3 years ago
Read 2 more answers
You want to buy a $219,000 home. You plan to pay 10% as a down payment, and take out a 30 year fixed loan for the rest.
vovangra [49]

Answer:

see explanation

Step-by-step explanation:

I assume you need to find the 10% and also the amount per year maybe?

so, you will pay 21,900 dollars upfront

219000-21900=197100

219000*1/10=21900, which is ten percent.

197100=30x, x being money paid per year in this case

divide both sides by 30

6570=x

You will pay 6,570 each year for this house. You can continue to divide to find monthly payments. or quarterly payments. Divide by 12 to find monthly payment and  divide by 4 to find quarterly

5 0
2 years ago
Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
Arada [10]

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t  

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt

 

\rm ds = \sqrt{2^2+3^2+4^2} dt

After solving the integration over the limit 0 to 1, we will get;

\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12}  (e^{12}-1)   or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Learn more about integration here:

brainly.com/question/18125359

#SPJ4

7 0
2 years ago
Jacob earned 300 on an amount deposited into his bank account for 3 years at a 2% annual simple interest rate how much did Joe d
vampirchik [111]
Joe deposited 180.

300 x .02 x 3 = 180
3 0
2 years ago
Answer in slope intercept form (y = Mx + b)
denpristay [2]
The answer is y= 1x + 12

5 0
2 years ago
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