answer.
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
galben [10]
2 years ago
14

In the diagram, the length of segment QV is 15 units. What is the length of segment TQ? 4 units 11 units 14 units 15 units

Mathematics
2 answers:
lapo4ka [179]2 years ago
7 0
This is the concept of algebra, for us to evaluate the length of the segment TQ, we need to evaluate the value of x first. From the above information;
SR=RQ
this implies that;
SV=VQ and TS=TQ
hence;
4x-1=15
4x=15+1
4x=16
dividing both sides by 4 we get:
(4x)/4=16/4
x=4
therefore since TS=TQ
then
TQ=TS=3x+2
but
x=3
Thus;
TS=3*4+2=14 units
vivado [14]2 years ago
3 0
We know tht QV = 15 and TQ = TS, QV = SV;
4 x - 1 = 15
4 x = 15 + 1
4 x = 16
x = 16 : 4 = 4
After that:
TQ = 3 * 4 + 2 = 12 + 2 = 14
Answer:
C )  14 units.
You might be interested in
Identify the property used in each step of solving the inequality 3x – 2 > –4.
Marizza181 [45]

Answer:addition and multiplication

Step-by-step explanation:

I just did it

7 0
2 years ago
Read 2 more answers
A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt
DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\  \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565 ft.

Answer: the height of the statue is 2.0565 ft.

8 0
2 years ago
Read 2 more answers
2 A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must he use to make 50 grams of a
nalin [4]
<h2>Therefore he took 40 gram of 1^{st} type solution and 10 gram of 2^{nd} type solution.</h2>

Step-by-step explanation:

Given that , A pharmacist 13% alcohol solution another 18% alcohol solution .

Let he took x gram solution of 1^{st} type solution

and he took (50-x) gram of 2^{nd} type solution.

Total  amount of alcohol =[x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ] gram

Total amount of solution = 50 gram

According to problem

⇔\frac{ [x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]}{50}= \frac{14}{100}

⇔\frac{13x +900-18x}{100\times50} =\frac{14}{100}

⇔- 5x= 700 - 900

⇔5x = 200

⇔x = 40 gram

Therefore he took 40 gram of 1^{st} type solution and (50 -40)gram = 10 gram of 2^{nd} type solution.

7 0
2 years ago
Read 2 more answers
16.A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Sp
MariettaO [177]

Answer:7

Step-by-step explanation:

This can be solved by Venn-diagram

Given there  are total 5 students who want french and Latin

also 3 among them want Spanish,french & Latin

i.e. only 2 students wants both french and Latin only.

Also Student who want only Latin is 5

Thus Student who wants Latin and Spanish both only is 11-5-3-2=1

Students who want only Spanish is 8 Thus students who wants Spanish and French is 4

Similarly Students who wants Only French is 16-4-3-2=7

8 0
2 years ago
Read 2 more answers
A river drops 12 ft vertically over a horizontal distance of 1500 ft.
elixir [45]

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

4 0
2 years ago
Other questions:
  • The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp
    9·2 answers
  • bo has 23 video games for sale he plans to donate the money he makes from each sale to a local charity what is the least amount
    5·2 answers
  • How do you simplify (25/a -a l) / (5+a)
    10·1 answer
  • If a2= 18 and a4= 8, find two possible common ratios. Then, write two sequences lhaving five terms each.
    6·1 answer
  • Find two complex numbers that have a sum of 10i, a difference of -4, and a product of -29
    7·1 answer
  • If ABCD is a square and AB = 10, what is the measure of CE to the nearest hundredth?
    14·1 answer
  • Billy and Maria mow lawns. Billy earned $15 the first day and $20 every day after that. Maria earned $10 the first day and $25 e
    12·1 answer
  • The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5mi
    6·1 answer
  • Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an e
    9·2 answers
  • Mr. Tanaka is making Miso soup for his family. The recipe calls for 350 ml of Dashi. Mr. Tanaka plans to make a smaller batch us
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!