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3 years ago

What’s the Value for k?

Mathematics

1 answer:

xeze [42]3 years ago

5 0

Answer:

Step-by-step explanation:

The sum of the angles on a straight line is 180 degrees. Therefore,

Angle XYZ + angle MYZ = 180

Angle XYZ + 115 = 180

Angle XYZ = 180 - 115 = 65 degrees

The sum of the angles in a triangle is 180 degrees. It means that

Angle XZY + angle YXZ + angle MYZ = 180

Therefore,

4k + 5 + 6k + 10 + 65 = 180

4k + 6k + 5 + 10 + 65 = 180

10k + 80 = 180

10k = 180 - 80 = 100

Dividing the left hand side and the right hand side of the equation by 10, it becomes

10k/10 = 100/10

k = 10

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Help find the angle of k please

Rudiy27

Answer:

k+27=180(co-interior angle)

k=180-27=153°

7 0

3 years ago

Guilia runs an average of 15 minutes each day.She has a goal of running 10 to the power of two minutes in 7 days. Will she compl

zheka24 [161]

Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes

6 0

3 years ago

A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% c

vladimir1956 [14]

The due date of the promissory note is May 24th 2013.

Data;

Present Value (PV) = $3600
Interest = $370
Future Value (FV) = PV + I = $3600 + $370 = $3970

To calculate the due date of the note, we can use the formula of future value of the note.

$FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n$

Let's take the natural log of both sides

$(1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28$

This is approximately 12 months and 9 days.

The due date of the promissory note is May 24th 2013.

Learn more on promissory note here;

brainly.com/question/25793394

brainly.com/question/4267195

7 0

2 years ago

A pair of shoes usually sells for $61. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, incl

Vinil7 [7]

Answer:

$45.26

Step-by-step explanation:

30% × 61 = 18.3

= $18.30 off, 61 - 18.3 = 42.7

6% × 42.7 = 2.562

= 42.7 + 2.562

= 45.26

8 0

3 years ago

The logo for Chris's Calculator Company is 3 semicircles. The logo will be placed on the company building and will be 4 feet tal

Keith_Richards [23]

Answer:

The area of the logo is $18.84\ ft^{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of a semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

The area of the logo is equal to multiply by 3 the area of one semicircle

$A=\frac{3}{2}\pi r^{2}$

we have

$r=4/2=2\ ft$ -----> the radius is half the diameter

substitute

$A=\frac{3}{2}(3.14)(2)^{2}=18.84\ ft^{2}$

8 0

3 years ago