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
dezoksy [38]
3 years ago
10

Please help finals are tomorrow

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0
ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT

Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 <em>(first equation)</em>

TS = QT
6x + 13 = 5y
6x - 5y = -13  <span><em>(second equation)</em>

</span>Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
  x = 8/-4
  x = -2

Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5

Answer:
x = -2
y = -5
You might be interested in
Nick bought apples at a farmers market where 5 apples cost $4.45.
Gwar [14]

Answer:

$0.89/apple

Step-by-step explanation:

$4.45

-------------- = $0.89/apple

5 apples

7 0
3 years ago
What is 15 tens - 1 gross ​
vampirchik [111]

Answer:

see the explanation

Step-by-step explanation:

we know that

A gross is equal to 120 ones or ten dozen

what is 15 tens - 1 gross

we know that

15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you

10(15)=150

1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12

which gives you

10(12)=120

so

The algebraic expression of 15 tens - 1 gross is equal to

150-120=30

Convert to word expression

3  tens

8 0
3 years ago
the long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of wood to frame in the pit.
Keith_Richards [23]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
You deposit $200 in an account earning 3% interest compounded
anastassius [24]

Answer:

$268.78

Step-by-step explanation:

We will use the compound interest formula to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 3% into its decimal form:

3% -> \frac{3}{100} -> 0.03

Now, plug in the values:

A=200(1+\frac{0.03}{1})^{1(10)}

A=268.78

After 10 years, you will have $268.78

5 0
3 years ago
A parallelogram has a base of 10 centimeters and a height of 4 centimeters. What is the area of the parallelogram?​
a_sh-v [17]
The area of the parallelogram is 40 centimeters
5 0
3 years ago
Read 2 more answers
Other questions:
  • Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?
    7·2 answers
  • Which set is closed under subtraction?
    6·2 answers
  • How many degrees does the earth revolve on its axis each hour? How many radians?
    12·1 answer
  • Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measuremen
    10·2 answers
  • 3.09 Geometry quuizzzzz
    12·1 answer
  • Using the rule of 72, how long will it take for the principal to double with an annual compound interest rate of 6%?
    15·1 answer
  • A catalog company that receives the majority of its orders by telephone conducted a study to determine how long customers were w
    10·1 answer
  • PLEASE HELP ASAP!! Will mark BRAINLIEST!!!Which equation describes the function in the table below?...I kinda had to just put th
    9·2 answers
  • Divide.<br> x2 + 2x - 49<br> X +8<br> The answer is<br> (Simplify your answer.)
    9·2 answers
  • 50 POINTSS MORE !!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!