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NARA [144]
3 years ago
10

Given the diagram below, Hannah writes m 1+ m 4 = 180°, m 2 + m 5 = 180°, and m 3+ m 26 = 180°. Which of the following reasons a

llows her to write these sums?

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

A. Definition of linear pair

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.

angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.

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PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS
lara [203]

Q1

Answer:

x \leqslant  \frac{5}{3}

Step-by-step explanation:

3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant  \frac{5}{3}

explanation for second step:

you divide each side by 3 to get rid of the '3' in '3x'

6 0
3 years ago
Use algebra to find the point at which the line h(x)=−(3/5)x+(7/5) intersects the line k(x)=(−8/3)x+(404/45).
Inga [223]

Answer: the point (3.667, 0.8)

Step-by-step explanation:

We want to find the point at which the lines:

h(x) = -(3/5)*x + (7/5)

and

k(x) = (-8/3)*x + (404/45)

If the lines intersect, then we must have:

h(x) = k(x)

if we write the functions we get:

-(3/5)*x + (7/5) = (-8/3)*x + (404/45)

Now we need to solve this for x.

-(3/5)*x + (8/3)*x = (404/45) - (7/5)

(8/3 - 3/5)*x = 404/45 - 63/45 = 341/45

(40/15 - 9/15)*x = 341/45

(31/15)*x = 341/45

x = (341/45)*(15/31) = 3.667

Now we can input this value of x in the functions to get the output.

h(3.667) = -(3/5)*3.667 + 7/5 = -0.8

Then the point where our points intersect is the point (3.667, 0.8)

4 0
2 years ago
⚠️WILL GIVE BRAINLIEST⚠️​
seropon [69]

Answer:

It's letter C (x = -2) (y = 1)

Step-by-step explanation:

3 0
2 years ago
Consider the figure.<br> Find AB if BC = 3, BD = 5, and AD = 5.<br><br> AB= ?
blondinia [14]
Answer is 9.5 First find DC by doing the Pythagorean theorem
BC is 3 BD is 5
So 3^2+ DC= 5^2
9+____=25
So DC is 4 cuz 4times 4=16

Now add AD+DC=AC

5+4=9

So BC is 3 the bottom AC is 9
3^2+9^2= 9+81=90 the sq rt of 90 is 9.5
7 0
3 years ago
Read 2 more answers
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