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3 years ago

If line b is perpendicular to line a, and linec

Mathematics

1 answer:

madam [21]3 years ago

4 0

Since both lines c and b are perpendicular to line a, line c and b are parallel.

Using the two points on line b, we can count “up 5, right 5” to find the slope of line b to be 5/5 or 1.

Since line b has a slope of 1 and line c is parallel, it must also have a slope of 1.

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cluponka [151]

Pretty sure the answer is 6

8 0

3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago

(01.04 LC)Multiply (-1/3)(1/4)

pashok25 [27]

Answer:

D: -1/12

Step-by-step explanation:

4 0

3 years ago

Is 2/13 a repeating decimal

Cloud [144]

The denominator 13 cannot be factored so that only 2's and 5's show up, so this means that 2/13 is a non-terminating decimal. Therefore, this decimal repeats itself

Use a calculator to see that: 2/13 = 0.153846 153846 153846 ....

The spaces are put in to help make the number more readable. Note how the "153846" keeps repeating forever

8 0

4 years ago

Two partners are starting a wedding planning business. The total investment is $45,000. Their investments are in the ratio 4:5.

JulijaS [17]

Answer:

Hey there!

Think of 45000 being split to 9 pieces.

Each piece would be 5000 dollars.

Thus, the ratio would be 20000 to 25000

Hope this helps :)

7 0

3 years ago