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
zhenek [66]
1 year ago
6

I need 5-8 done Complete the statements and explain why

Mathematics
1 answer:
Anna11 [10]1 year ago
8 0

The completed statements are:

5. If the measure of ∠1 = 160°, then the measure of ∠5 = 160°.

The reason is the corresponding angles theorem, which asserts that "when a line intersects two parallel lines, the corresponding angles in the two intersection regions are congruent."

6. If the measure of ∠6 = 37°, then the measure of ∠4 = 37°.

The Vertical Angles Theorem, that states the angles that are vertically created by two crossing straight lines, are congruent.

7. If the measure of ∠8 = 82°, then the measure of ∠3 = 98°.

By the Same Side Interior Angles Theorem, when a transversal connects two parallel lines, the interior angles on the same side are supplementary.

∠8 + ∠5 = 180°

∠5 = 180° - 82° = 98°

And by Vertical Angles Theorem,

∠5 = ∠3 = 98°

8. If the measure of ∠4 = 60°, then the measure of ∠5 = 120°.

The total of angles on a straight line is 180°.

∠4 + ∠5 = 180°

∠5 = 180° - 60°

∠5 = 120°

To learn more about angles visit:

brainly.com/question/18726445

#SPJ13

You might be interested in
100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

6 0
2 years ago
You have just isolated a new radioactive element. If you can determine its half-life, you will win the Nobel Prize in physics. Y
Troyanec [42]
Staals half
1 gram left
0.3 grams left
half lives are normally written in years
it goes likt this

A=P( \frac{1}{2})^ \frac{t}{h}
A=final amount
P=initila amount
t=time elapsed
h=time half life is (same units as time)

let's use days as the units of time


we are given
initial amount=1gram
final amount=0.3gram
time=4 days

so
0.3=1( \frac{1}{2})^ \frac{4}{h}
solve for h
0.3=( \frac{1}{2})^ \frac{4}{h}
take the ln of both sides
ln(0.3)=ln( \frac{1}{2})^ \frac{4}{h}
ln(0.3)=\frac{4}{h}ln( \frac{1}{2})
times both sides by h
hln(0.3)=4ln( \frac{1}{2})
divide both sides by ln(0.3)
h= \frac{4ln( \frac{1}{2}) }{ln(0.3)}
use calculator
h=2.30287
3 sig figs
h=2.303 days
6 0
3 years ago
The number 9.37 rounded to the nearest tenth is 9.4 Is this correct?y or y not
PSYCHO15rus [73]
Yes, this is correct. The tenths place is the first number to the right of the decimal. There is a 3 in that spot
To find if it rounds up or down, follow this rule.
Less than 5 round down and greater than 5 round up.
For this you look to the number next to it which is 7.
It rounds up so it is 9.4
8 0
3 years ago
Read 2 more answers
9. Ellie is making a batch of pancakes
Vikki [24]

Answer:

Step-by-step explanation:

Maybe your questions has some wrong numbers in it?  but, going by what's in your questions ,  just  1 cup of flour   :/   seems too easy

4 0
3 years ago
One T-shirt is sold for every 5 people who attend a concert.
docker41 [41]
5:1 people to T Shirt
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area please help‼️‼️‼️
    5·1 answer
  • According to the order of operation, which two operations are performed first? Is it adding, dividing, subtraction, or multiplic
    5·1 answer
  • Solve -7+11-(-3 ) what is the answer need asap for class​
    7·1 answer
  • Which expression is equivalent to (3b+2r)+(4b+r)​
    14·2 answers
  • Bryson is painting kitchen stools. Each stool requires 1 1/2 liters of paint. Bryson has 20 liters of paint, How many stool will
    7·1 answer
  • Prove each of the following statements about integers by proving thecontrapositive of the statement.A. If 3nis even, thennis eve
    13·1 answer
  • The ratio of the amount of money Karen had to the amount of money Peter had was 2 : 5. After Peter received $75 from his mother,
    14·1 answer
  • How many 3-digit numbers less than 500 can be formed from 0, 2, 4, 6, if repetition of digits is allowed?
    15·1 answer
  • Change equation into y=mx+b <br><br> 3x+2y=12
    8·2 answers
  • 6 = 2p + 8 pls help i will give brainlist
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!