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Sedaia [141]
3 years ago
9

3. In triangle ABC, m<BAC = 4x + 10, m<ABC = 5x + 18, and m<BCA = 3x - 16. (a) Find the value of x. (b) Find th

e measure of <3.

Mathematics
1 answer:
belka [17]3 years ago
7 0

(a) Find the value of x.

Sum of interior in a triangle = 180

So m<BAC  + m<ABC + m<BCA = 180

4x + 10 + 5x + 18 + 3x - 16 = 180

12x + 12 = 180

12x = 168

  x = 14


(b) Find the measure of <3.

<3 + <BCA = 180

<BCA = 3x - 16 = 3(14) - 16 = 26°

So

<3 = 180 - <BCA

<3 = 180 - 26

<3 = 154°

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Chris and Becky are comparing mortgages. The mortgage is for $183,500. If they choose 30 years at 5%, their monthly payment will
soldi70 [24.7K]

Answer:

For 30 years at 5% = $354,625.2

For 20 years at 4.5% = $278,618.4

Step-by-step explanation:

The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).

1) For 30 years at 5%

Total number of months in 30 years = 30 x 12 = 360 months

Payback = $985.07 x 360 = $354,625.2

2) For 20 years at 4.5%

Total number of months in 20 years = 20 x 12 = 240 months

Payback = $1160.91 x 240 = $278,618.4

5 0
4 years ago
Read 2 more answers
Is - 1 half n + 1 whole 1 half + 3 - n equivalent to 3
gavmur [86]

Yes. It is equivalent to 3. Combine like terms

7 0
3 years ago
An acute angle θ is in a right triangle with sin θ = seven elevenths. What is the value of the other five trigonometric function
Strike441 [17]

Solve it yourself

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4 0
3 years ago
la señora laura ocupo 7/16 de un carrete de liston para hacer un mantel,y1/4 para elaborar una cortina.¿que fraccion del total d
Ugo [173]
Puedes multipilar 1/4 con 4, que te da 4/16. Sumas los dos y quedas con 11/16. Restas 16 de 11, y tu resultado sera 5/16.
7 0
4 years ago
which set of numbers can represent the side lengths, in centimeters, of a right triangle?a. 8,12,15b. 10,24,26c. 12,20,25d. 15,1
Mama L [17]

Answer:

B


Step-by-step explanation:

Pythagorean theorem (applicable on right triangles only) says:

a^{2}+b^{2}=c^{2}

  • Where a  and b  are the two legs of the triangle and c is the length of the hypotenuse [THE LONGEST SIDE].

<u>We can square each leg on the triangle and take the sum, if that is equal to the square of the longest side, we have a right triangle. Let's check for all of these.</u>

A.

8^{2}+12^{2}\\=64+144\\=208

15^2=225

They're not right triangle.

B.

10^{2}+24^{2}\\=100+576\\=676

26^2=676

This is a right triangle.

C.

12^{2}+20^{2}\\=144+400\\=544

25^2=625

They're not right triangle.

D.

15^{2}+18^{2}\\=225+324\\=549

20^2=400

They're not right triangle.


Only B is the right triangle.

8 0
3 years ago
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