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
Serga [27]
3 years ago
10

Geometry help please! Match the reasons with the statements.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Given:

∠PRS and ∠VUW are supplementary.

To prove:

Line TV || Line QS

Solution:

Step 1: Given

∠PRS and ∠VUW are supplementary.

Step 2: By the definition of supplementary angles

m\angle {PRS}+m\angle {VUW}=180^{\circ}

Step 3: Angles forming a linear pair sum to 180°

m\angle {PRS}+m\angle {SRU}=180^{\circ}

Step 4: By transitive property of equality

step 2 = step 3

m\angle {PRS}+m\angle {VUW}=m\angle {PRS}+m\angle {SRU}

Step 5: By algebra cancel the common terms in both side.

{m} \angle {VUW}={m} \angle{SRU}

Step 6: By converse of corresponding angles postulate

Line TV || Line QS

Hence proved.

You might be interested in
I need to sketch a graph for each line.<br> y = 4x-5<br><br> How would I solve and graph this
PtichkaEL [24]
So you need to find the slope and the y- intercept. So, the slope is always the coefficient on the x. In this case it is 4. The y-intercept is the other number. In this case it is -5. So the slope is 4 and the y-intercept is -5. On your graph (the y axis) find -5. Then you go up 4 and to the right 1 because of four were a fraction it would be 4/1. Keep going up four and right one a couple times. Then reverse it. Go down 4 left 1. That as a fraction would look like -4/-1. Then connect your points and make it a line!
4 0
3 years ago
If it is 4 o'clock now, what time will it be in 9 hours?
krok68 [10]
I t will be 1 o'clock
3 0
3 years ago
The ABC Book club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee,
alina1380 [7]

Answer:

5 books must be read in 1 month for the total charges from each club to be equal.

Step-by-step explanation:

Monthly Charges of ABC club = 40$

Per book read charges of ABC club = 2$

amount of book read = x

Total charges of ABC club = 40 + 2x

Monthly Charges of Easy book club = 40$

Per book read charges of Easy Book club = 3$

Total charges of Easy book club = 35 + 3x

To calculate how many books must be read in 1 month for the total charges from each club to be equal,

Total charges of ABC club =  Total charges of Easy book club

40 + 2x = 35 + 3x

40 - 35 = 3x -2x

5 = x

x = 5

Therefore, 5 books must be read in 1 month for the total charges from each club to be equal.

8 0
3 years ago
What is the measure of Angle D F E?
LiRa [457]

Answer:

152 degrees

Step-by-step explanation:

we know that

Exterior angle is supplementary to interior angle. Their sum is equal to 180 degrees

so

m\angle DFE+28^o=180^o

m\angle DFE=180^o-28^o=152^o

8 0
3 years ago
Read 2 more answers
The value of x in terms of b is?
charle [14.2K]
To get x in terms of b means that we want an equation where x is alone on one side. We can do that to the given equation:
-2(bx-5)=16
-2bx+10=16
-2bx=6
x=\frac{6}{-2b}
x=-\frac{3}{b}
4 0
3 years ago
Other questions:
  •  what is 16/10 as a mixed number in simplest form. I don't get it?
    6·2 answers
  • 1. How many ways can you arrange the letters in the word MOMMY
    9·1 answer
  • A box containing 4 identical books weighs 5kg. if the weight of the box is 600g, what is the weight of each book? answer key
    11·1 answer
  • If sales tax of a state is 8% what is the price of a $400 punching bag
    15·2 answers
  • am • an = am + n, where a is a real number and m and n are integers Use the product of powers property to simplify the expressio
    11·2 answers
  • What are some Ratios equivalent to 3:12
    9·2 answers
  • Explain how you found your answer
    11·1 answer
  • Determine if the expression 3c^5+7c^-1-c is a polynomial or not. If it is a polynomial, state the type and degree of the polynom
    8·1 answer
  • Which expression is equivalent to 5r+11r−2?
    12·1 answer
  • There are 276 students.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!