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3 years ago

Determine wheather the given lines are parallel or not. Write the reasons .

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer:

yes it is parallel because the alternate interior angles are equal

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Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

2 years ago

there are 300 student and teachers at a sports event.Grade k to 2 is students: 137 Grade 3 to 5 students: 145 Teachers: ? what i

AVprozaik [17]

Answer:

Percentage of teachers = 6%

Step-by-step explanation:

Given;

Number of grade k-2 students = 137

Number of grade 3-5 students = 145

Total = 300

Number of teachers = 300 - (137+145) = 18

Percentage of teachers = (number of teachers÷total)× 100%

%T = (18/300) × 100

%T = 6%

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2 years ago

4(x)+2 Is -18 what is x

Harrizon [31]

Answer:

x=-5

Step-by-step explanation:

$4x = - 18 - 2 \\ x = \frac{ - 20}{4} \\ = - 5$

BESTIEEE I HOPE U CAN GIVE ME BRAINLIEST (╥﹏╥)(╥﹏╥)

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2 years ago

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What is the decibel level of the noise from a fire alarm with intensity 10^-1 watts per square inch

prisoha [69]

Answer:

110 db

Step-by-step explanation:

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2 years ago

Which is the endpoint of a ray? point R point S point T point U

ira [324]

The answer is point S

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3 years ago

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Determine wheather the given lines are parallel or not. Write the reasons .​

Determine wheather the given lines are parallel or not. Write the reasons .