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
Naily [24]
3 years ago
14

What are the values of a and b?

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

You might be interested in
The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determin
Jobisdone [24]
When you graph an equation, it should be dependent variable against the independent variable. For this problem, the independent variable is the time, so this is along the x-axis. The dependent variable is d, so this is along the y-axis. Since the slope is Δy/Δx, then it is also equivalent to Δd/Δt. Therefore, the answer is B.
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!
Contact [7]
The equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)


find slope

slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(-3,2) and (2,1)
slope=(1-2)/(2-(-3))=(-1)/(2+5)=-1/5


pikc a point
if we pick (-3,2)
(x1,y1)
x1=-3
y1=2

y-2=-1/5(x-(-3))
y-2=-1/5(x+3)
that is D
5 0
3 years ago
SUPER EASY FOR POINTS!!!!solve: x-3=3x-2
Savatey [412]

Answer:

Polynomial equation solver

x-3=3x-2

Standard form:

−2x − 1 = 0

Factorization:

−(2x + 1) = 0

Solutions:

x = −1

2

= -0.5

3 0
3 years ago
Sam has 12 black and white photos and 18 color photos. He wants to put the photos in equal rows so each row has either black and
elena-s [515]

12 black and white, 18 color in one row
6 black and white, 9 color in two rows
4 black and white, 6 color in three rows
2 black and white, 3 color in six rows
8 0
3 years ago
Read 2 more answers
Some steps to construct an angle MNT congruent to angle pqr
xxTIMURxx [149]
Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the afternoon drawn from N in a point
4 0
3 years ago
Other questions:
  • What is the value of x? Enter your answer in the box.<br><br><br><br>Picture coming soon (:
    13·1 answer
  • Help pls answer this question thx
    9·1 answer
  • ANOTHER TWO FOR ONE please help me answer these two questions for 15 points
    14·1 answer
  • HELP ME PLEASE!! I need help
    7·1 answer
  • What is the scale factor of this dilation? <br><br> 1/2, <br><br> 2/3, <br><br> 3/4, <br><br> 3/2
    11·1 answer
  • Place the LETTER of each value in its location in the real number system below
    7·1 answer
  • Solve the equation.<br> -13 = 2b - b - 10
    15·1 answer
  • Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correct
    5·2 answers
  • What is the distance between (-4, 15) and (24, -7)?<br> Round your answer to the nearest tenth.
    12·1 answer
  • Can anyone solve?<br><br><img src="https://tex.z-dn.net/?f=%20%5Csf%7B5x%20%2B%20x%20%3D%20%3F%7D" id="TexFormula1" title=" \sf{
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!