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
Flauer [41]
3 years ago
14

Will give brainliest

Mathematics
2 answers:
kow [346]3 years ago
5 0

Answer:

PR= 8

ST=5

Step-by-step explanation:

PQ and PR are congruent so

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

12345 [234]3 years ago
3 0

Answer:

PR=8

ST=5

Step-by-step explanation:

PR

QS=SR (marked)

a²=b²+c² (TRIANGLE PQS)

PQ²=PS²+QS²

8²=PS²+SR² (PQ=8, QS=SR)

64=PS²+SR²

a²=b²+c² (TRIANGLE PRS)

PR²=PS²+SR²

(2x)²=64

2x=8

x=4

PR=2x=2(4)=8

ST

a²=b²+c² (TRIANGLE VUT)

VT²=TU²+UV²

VT²=(2z+3)²+UV²

VT²=4z²+12z+9+UV²

a²=b²+c² (TRIANGLE VST)

VT²=VS²+ST²

VT²=VS²+25z²

4z²+12z+9+UV²=VS²+25z²

21z²-12z-9=0

7z²-4-3=0

(7z+3)(z-1)=0

z=-3/7 or z=1

cant be neg, z=1

ST=5(1)=5

You might be interested in
What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 ?
Natali5045456 [20]

Answer:

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( -2 , 7)

To Find:  

Equation of Line  that passes through the point (-2,7) and is perpendicular to the line x-6y=42=?  

Solution:  

x-6y=42    ..................Given

which can be written as

y=mx+c

Where m is the slope of the line

∴ y=\dfrac{x}{6}-7

On Comparing we get

Slope = m = \dfrac{1}{6}

The Required line is Perpendicular to the above line.

So,

Product of slopes = - 1

m\times m_{1}=-1\\Substituting\ m\\ \dfrac{1}{6} m_{1}=-1\\\\m_{1}=-6

Slope of the required line is -6

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2, 7) and slope = -6 we get

(y-7)=-6(x--2)=-6(x+2)=-6x-12\\\\\therefore 6x+y=-5.......is\ the required\ equation\ of\ the\ line

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

3 0
3 years ago
Find the solution sets for 4
Ket [755]

Answer:

??????????????????? 3+1

Step-by-step explanation:

5 0
3 years ago
Please help me with this question :(
stiv31 [10]

Answer:

∠1 and ∠3 as well as ∠5 and ∠7 are corresponding

∠2 and ∠7 are alternate

Step-by-step explanation:

8 0
2 years ago
: David has saved $35 of the $140 he needs to purchase a new
olga55 [171]

David would have to save for 7 weeks in order to have enough money for his bike.

5 0
1 year ago
How many pages could I read per day for 4 weeks if the book has 292 pages?
Gemiola [76]
About 10 pages
If you divide 292 / 28 since there is 28 days in 4 weeks
7 0
2 years ago
Other questions:
  • Please help ASAP!!!!
    13·2 answers
  • The water level in the aquarium's shark tank is always greater than 25 feet. If the water level decreased by 6 feet during clean
    7·1 answer
  • Can anyone help me with this problem?<br><br>3a=9a^2-30​
    8·2 answers
  • How much times dose 30 go into 90
    8·2 answers
  • The winner of the cross-country meet ran 6 miles in 2 hour. What is the average speed per minute?
    9·2 answers
  • Which linear inequality is represented by the graph
    8·1 answer
  • 2) Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of 5 2 ft and the radius
    9·1 answer
  • Keep getting stuck on dividing the fractions to simplify them
    15·1 answer
  • Which of the following statements about AB and AC is true?
    12·1 answer
  • -4x &gt; 500...........................................
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!