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4 years ago

Which assumption(s) must be used to prove that vertical angles are congruent?

Mathematics

1 answer:

ivanzaharov [21]4 years ago

5 0

Answer:

The assumption to prove that vertical angles are congruent is "Vertical angles are always congruent".

Step-by-step explanation:

Vertical angles are a pair of angles (not adjacent) opposite each other by a vertex when two lines intersect.

When two lines intercept at a point, 4 angles are formed. Those that are opposite to each other and are not adjacent are vertical angles, these are always congruent.

In this case, we can affirm that if two angles are opposed by the vertex, they are equal.

Have a nice day!

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Darius is putting tiles on the roof of his house. After working for 3 1/3 hours, he has completed 4/5 of the roof. Can Darius pu

tangare [24]

Answer:

No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = $\frac{4}{5}$ th of the work

He takes time = $3 \frac{1}{3}$ hours to complete $\frac{4}{5}$ th of the work

The remaining work = $1 -\frac{4}{5}$

$=\frac{5-4}{5}$

$=\frac{1}{5}$

∴ Darius completes $\frac{4}{5}$ th of the work in = $\frac{10}{3}$ hours

So, $\frac{1}{5}$ th of the work in = $\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$ hours

$=\frac{10}{12}$ hours

Therefore total time taken to complete the work $=\frac{10}{3}+\frac{10}{12}$ hours

$=\frac{40+10}{12}$ hours

$=\frac{50}{12}$ hours

$=4\frac{2}{12}$ hours

$=4\frac{1}{6}$ hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.

8 0

3 years ago

Ik I said one more buh I assure u this is the last :p

Dmitriy789 [7]

Here you go this took me time

3 0

3 years ago

Find the missing angles in the parallelogram.

algol [13]

Answer:

85, 95, 95

Step-by-step explanation:

A = 85

B = 95

C = 95

I hope this helped!

7 0

3 years ago

Rewrite the following equation in standard form. y=4x+10

Virty [35]

standard from Ax +By = C

y = 4x+10

subtract 4x from each side

-4x+y = 10

or 4x - y = -10

3 0

3 years ago

Lydia and Claudia have the same number of charms in their collections. Lydia started with 6 charms and bought 3 more packs. Clau

serious [3.7K]

Answer:

E. 3x + 6 = 2x + 9

Step-by-step explanation:

The total number of charms that Lydia has in term of x

6 + 3x

The total number of charms that Claudia has in term of x

9 + 2x

Since they have the same number of charms, we can set these 2 equations above equals to each other

6 + 3x = 9 + 2x

x = 9-6 = 3

So E is the correct answer

7 0

3 years ago