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
topjm [15]
3 years ago
13

Assuming the following two triangles are congruent, solve for x if QR =

Mathematics
2 answers:
makkiz [27]3 years ago
3 0

I think you meant the two <em>segments</em><em> </em>are identical, if so then:

3x + 16 = 5x - 22 \\  - 2x =  - 38 \\ x = 19

nadya68 [22]3 years ago
3 0

Answer:

x = 19

Step-by-step explanation:

3x + 16 = 5x - 22

3x - 5x = -16 - 22

-2x = -38

x = -38/-2

x = 19

You might be interested in
(82 POINTS AND BRAINLYEST)
algol13

Answer:

4 inches

Step-by-step explanation:

The equation for volume of a rectangular prism is V=lwh, where l=length, w=width, h=height.

We are given the volume, length, and width, so let's put those in and solve for the height.

V = lwh

660.24 = 13.1*12.6*h

660.24=165.06h

660.24/165.06 = h

4 = h

<u>The height is 4 inches.</u>

7 0
4 years ago
Read 2 more answers
This week, we are covering relationships that can be approximated by linear equations. For instance, y = 453x + 3768 represents
lana [24]

Answer:

See explanation below.

Step-by-step explanation:

We assume that the data is given by :

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)

We can find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720

\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324

\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200

\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540

\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=49200-\frac{720^2}{12}=6000

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900

And the slope would be:

m=-\frac{1900}{6000}=-0.317

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60

\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27

And we can find the intercept using this:

b=\bar y -m \bar x=27-(-0.317*60)=46.02

So the line would be given by:

y=-0.317 x +46.02

We have an inverse linear relationship since the slope is negative between the variables of interest.

8 0
4 years ago
Whats .0091 rounded to the nearest thousandths
sashaice [31]
.0091 rounded to the nearest thousandths would be .009
8 0
3 years ago
Write 0.0000055 in scientific notation
Feliz [49]

Answer:

(b) 5.5 × 10^-6

Step-by-step explanation:

hope if helps

3 0
3 years ago
What is the independent variable for the graph?
o-na [289]
Time is the independent variable
4 0
3 years ago
Other questions:
  • Ashley has started a blog and is using the bar chart below to keep track of how many followers she has. How many followers will
    7·2 answers
  • Which of the following statements is correct? 15 = 700 15 &lt; 700 15 &gt; 700 700 ≠ 700
    15·2 answers
  • How many dots are there at t minutes? Solve the problems by your preferred method. Your
    5·1 answer
  • Frank Friedman writes a $45 check, but his account has only $20 in it. He must also pay Central City Power and Water charges $25
    15·2 answers
  • Which angle is an exterior angle? The choices got cut off in the pic
    6·1 answer
  • Circle A is shown with a central angle marked 42 degrees and the radius marked 8 inches.
    12·2 answers
  • Select the correct answer from each drop-down menu.
    12·2 answers
  • No Calculators
    15·1 answer
  • Find the value of x in the following figure. Assume that the lines are parallel.
    7·2 answers
  • Help m.e please please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!