1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
3 years ago
7

in a right triangle the measure of one acute angle is 8 times the measure of another angle. what is the measure in degrees of th

e smallest angle in the triangle
Mathematics
1 answer:
ozzi3 years ago
5 0
<span>a right triangle the measure, so right angle = 90
let x = other acute angle
</span><span>one acute angle is 8 times the measure of another angle = 8x
</span>
x+8x+90=180
9x=90
x = 10

answer:
<span>measure in degrees of the smallest angle in the triangle = 10</span>
You might be interested in
Calculate (6.3 × 10 ^5) × (2.5 × 10^ -2)
Talja [164]

Answer:

15750

Step-by-step explanation:

8 0
3 years ago
What is the mapping notation that will transform triangle ABC to triangle A'B'C'?
MissTica

Answer:

I cant see it so can u do something so i can see it plz

6 0
3 years ago
WILL MARK YOU BRAINLIEST
Juli2301 [7.4K]
We know that the sum of all angle measures in a trapezoid is 360* (* means degrees)

Therefore we can construct the equation
(X+28)+(x)+(4x-14)+(4x-14)= 360

Now add like terms

10x = 360

And divide by the coefficient of X (aka 10)

X= 36
7 0
3 years ago
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
Math geometry show work Thanks
aev [14]

Problem 1, part (a)

<h3>Answer: False</h3>

For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.

====================================================

Problem 1, part (b)

<h3>Answer: true</h3>

This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.

====================================================

Problem 2

I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.

4 0
3 years ago
Other questions:
  • Simplify and combine terms 9x+6-4x-2x+1-15
    6·2 answers
  • WILL MARK BRAINLIEST!!! PLEASE HELP!!!! Triangle RDW below is a right triangle. Line RW is 26 units, Line WD is 24 units, and Li
    13·1 answer
  • The supplement of an angle measures 102°. what is the measurement of the angle?
    7·1 answer
  • A) 15<br> b) 10<br> c) 5<br> d) 25
    11·1 answer
  • Pls, help me I am having so much trouble with this! I need to finish it today! Pls...NOW!
    9·1 answer
  • (50) points please i already tried searching it and there was no results i have no choice so pleas help!
    10·1 answer
  • 72 in.= ______ yd.
    12·2 answers
  • AB is 16 centimeters long. It is rotated 24° clockwise around point A. What is the length of
    7·1 answer
  • Caroline won $205000 in a lottery. After paying $96000 in taxes, she placed the remaining amount in a savings account at a 2% in
    11·1 answer
  • Recall that Daniel's taxable income is $33,914. According to the single taxable income tax brackets for 2018, the amount of inco
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!