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2 years ago

Write two different congruent statements that indicate the triangles in each pair are congruent( Odd number questions only)

Mathematics

1 answer:

ryzh [129]2 years ago

7 0

Answer:

Step-by-step explanation:

17) HI ≅ UH ; GH ≅ TU ; GI ≅ TH

ΔHGI ≅ ΔUTH by Side Side Side congruent

∠G ≅ ∠T ; GI ≅ TH ; ∠GIH ≅ ∠THU

ΔHGI ≅ ΔUTH by Angel Side Angle congruent

19) IJ ≅ KD ; IK ≅ KC ; KJ ≅ CD

ΔIJK ≅ ΔKDC by Side Side Side congruent

∠J ≅ ∠D ; IJ ≅ KD ; ∠I ≅ ∠DKC

ΔIJK ≅ ΔKDC by Angle Side Angle congruent

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Mr. Nelson bought a car for $20,000 with a 5% interest rate.

MrMuchimi

Answer:

Step-by-step explanation:

do you know the answer

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3 years ago

Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

3 years ago

For a school picnic, leslie ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 60 cookies in all. 15 of

OlgaM077 [116]

Answer:

Pretty sure 25%.

Step-by-step explanation:

First, you would need to see how many times 60 goes into 100, because a percent is ALWAYS over 100. You should get an answer of 1.66666667. Then you if you multiply it to one of the numbers then you have to do it to the other number. So, you would do 15 times 1.66666667. You would get 25. So, that would be 25 over 100 or 25/100. And 25 over 100 is 25%.

I hope I helped! :) Sorry if it's wrong :(

5 0

2 years ago

Another college precalculas question, please and thank you!

Ratling [72]

Answer:

B) (-∞,∞)

Step-by-step explanation:

The domain is the x-values, so it’s all real numbers in this graph.

I would use interval notation and choose B) (-∞,∞)

The range is the y-values, so it’s (2,-1), if that’s the next question.

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2 years ago

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Komok [63]

Answer:

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2 years ago