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wariber [46]
3 years ago
5

Mackenzie wrote the following paragraph proof for the Vertical Angles Theorem: Line segment NT intersects line segment MR formin

g four angles. Angles 1 and 3 are vertical angles. Angles 2 and 4 are vertical angles. The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 _________________. Angle 1 is equal to angle 3 by the subtraction property of equality. Which phrase completes the proof? by construction using a straightedge by the definition of a perpendicular bisector by the transitive property of equality. by the vertical angles theorem
Mathematics
2 answers:
lilavasa [31]3 years ago
7 0

by the transitive property of equality

topjm [15]3 years ago
3 0

Answer:

the transitive property of equality

Step-by-step explanation:


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What is the value of x in the equation log5 x = 4 jmap?
steposvetlana [31]
To solve for x we proceed as follows:
from the laws of logarithm, given that:
log_a b=c
then
a^c=b
applying the rationale to our question we shall have:
log_5 x=4
hence
5^4=x
x=625
Answer: x=625
5 0
3 years ago
Three times a number minus another number is -3. The sum of the numbers is 11. Find the numbers
MatroZZZ [7]

The first equation is

3x-y=-3

The second equation is

x+y=11

If you sum the two equations you'll cancel y:

4x=8 \iff x=2

And since the sum must be 11, we have y=9.

8 0
4 years ago
The sum of two numbers is 45 and the different is 21.what are the numbers
ryzh [129]
A + b = 45
a - b = 21
a = 21 + b
Use substitution
21 + b + b = 45
2b = 24
b = 12
45 - 12 = 33
The numbers are 33 and 12
6 0
3 years ago
Read 2 more answers
Use the fraction strips to compare 2/4 and 5/8. use the drop-down menus to explain your comparison.
tia_tia [17]

Answer:

2

5

\dfrac{4}{5}

Step-by-step explanation:

We are given 2 fractional numbers:

1.\ \dfrac{2}4\\2.\ \dfrac{5}8

We have to use fraction strips to compare to the fractional numbers.

Let we are Comparing \frac{2}{4} with the length of x number of \frac{1}4 sections.

i.e.

\dfrac{2}{4}  = x \times \dfrac{1}{4}\\\Rightarrow x = \dfrac{2 \times 4}{4}\\\Rightarrow x = 2

Let we are Comparing \frac{5}{8} with the length of y number of \frac{1}8 sections.

i.e.

\dfrac{5}{8}  = y \times \dfrac{1}{8}\\\Rightarrow y = \dfrac{5 \times 8}{8}\\\Rightarrow y = 5

Now, let us have a look at 3rd part of question:

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8

Let the answer be z.

So, the equation becomes:

\dfrac{2}{4} = z \times \dfrac{5}{8}\\\Rightarrow z = \dfrac{2 \times 8}{4 \times 5}\\\Rightarrow z = \dfrac{2 \times 2}{5}\\\Rightarrow z = \dfrac{4}{5}

So, the answers are:

2

5

\dfrac{4}{5}

5 0
3 years ago
Please help me out :)
Alex17521 [72]

79-y=2y+22

Add y on both sides

79=3y+22

Subtract 22 from both sides

57=3y

Divide by 3 on both sides

19=y

3 0
3 years ago
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