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3 years ago

In the figure, a//b, and both lines are intersected by transversal t. Complete the statements to prove that m<1=m<5.

Mathematics

1 answer:

nata0808 [166]3 years ago

7 0

Answer:

Transitive Property of Equality
Alternate Interior Angles Theorem

Step-by-step explanation:

a) You're trying to justify that two sums equal to 180° are equal to each other. The Transitive Property of Equality is that justification.

b) You're trying to justify that angles 3 and 6 are congruent. These are between the parallel lines, so are "interior" angles. They are on opposite sides of the transversal, so are "alternate" angles. They do not share a vertex, so cannot be vertical angles. The applicable theorem is the Alternate Interior Angles Theorem.

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PLEASE HELP ME I NEED THIS IN LIKE 10 MINUTES!!!!!

liq [111]

Answer:

2/3

Step-by-step explanation:

3x=6x-2

6x-3x=2

3x=2

x=2/3

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3 years ago

Read 2 more answers

65% out of what number is 39

ludmilkaskok [199]

Answer:

The number is 60

Step-by-step explanation:

65% out of what number is 39

.65 * n = 39

Divide by .65 on each side

.65*n/.65 = 39/.65

n = 60

7 0

3 years ago

W much

Bezzdna [24]

Jerome bought C. $4\frac{7}{8}$ pounds of candy.

Step-by-step explanation:

Step 1:

First, we must convert the mixed fractions into improper fractions. To do that we multiply the whole number with the denominator and add with it the numerator while the denominator remains the same.

To convert this fraction $1\frac{1}{2} = \frac{(1)(2)+1}{2} =\frac{3}{2} .$

To convert this fraction $2\frac{3}{4} = \frac{(2)(4)+3}{4} =\frac{11}{4} .$

So Jerome bought $\frac{3}{2}$ pounds of jelly beans, $\frac{5}{8}$ pounds of gumballs and $\frac{11}{4}$ pounds of chocolate.

Step 2:

We add all the values to determine the total candy bought.

$\frac{3}{2} +\frac{5}{8} + \frac{11}{4} = \frac{(4(3)+1(5)+2(11))}{8} .$

$\frac{(4(3)+1(5)+2(11))}{8} = \frac{39}{8} .$

$\frac{39}{8}$ can also be written as $4\frac{7}{8}$ .

So Jerome bought $4\frac{7}{8}$ pounds of candy which is option C.

6 0

4 years ago

motikmotik

9514 1404 393

Answer:

The are congruent.
They are non-adjacent.

Step-by-step explanation:

Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are alternate exterior angles.

Alternate exterior angles are congruent.

The share a side (the transversal, but not a vertex. So they are non-adjacent.

_____

Additional comment

In this geometry, corresponding angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.

5 0

3 years ago

American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustrati

Alexxandr [17]

Answer:

0.77

Step-by-step explanation:

From the information given:

The breakdown time (a)= 3 hours

The breakdown rate (λ) = 1/a = 1/3

Average flow time in the system (W) = 2.305 hours

For the entire system;

The average down machines L = Wλ

= 2.305 × (1/3)

= 0.77

3 0

3 years ago