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2 years ago

Solve for the given variable

Mathematics

2 answers:

Natalija [7]2 years ago

7 0

Answer:

k = 30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an exterior angle of the triangle, thus

k + 90 = 120 ( subtract 90 from both sides )

k = 30

Ne4ueva [31]2 years ago

3 0

Answer:

Step-by-step explanation:

Well we know the first angle is 90 degrees, which means we have 90 degrees left to work with. Then, the top angle would be 60 degrees, because there is a straight line (which of course has to equal 180), so 180-120 = 60. Now, 90-60=30!

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On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1

Luden [163]

Answer:

229.5 $cm^{2}$

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 $cm^{2}$

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = $\frac{h * b}{2}$

At = $\frac{15cm * 13cm}{2}$

At = $\frac{195cm^{2} }{2}$

At = 97.5 $cm^{2}$

Now we simply add both areas together to calculate the total area of the arrow...

132 $cm^{2}$ + 97.5 $cm^{2}$ = 229.5 $cm^{2}$

6 0

3 years ago

Read 2 more answers

How do I do 2 root 20 - 3 root 5

Komok [63]

2√20=2((√4)(√5)=2((2)(√5)=4√5

now we have
4√5-3√5=1√5=√5

8 0

2 years ago

2x+5=10<br> I need to find out x pls help

Finger [1]

Answer:

Step-by-step explanation:

2x + 5 = 10

you minus the 5

2x = 5

you divide both sides by 2

x = 5

7 0

3 years ago

Read 2 more answers

You earn $15 every 3 weeks. at this rate how much will you earn in 5 weeks

zhannawk [14.2K]

Answer:

$25

Step-by-step explanation:

We know that in 3 weeks you get $15 now you can divide 3 by 15 to get $5 per week so since we know how much you earn per week you multiply $5 by 5 weeks to get $25

4 0

2 years ago

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8-3(p-4)=2p<br><br> Show Work PLEASE

Anvisha [2.4K]

8-3(p-4)= 2p
⇒ 8 -3p -3(-4)= 2p (distributive property)
⇒ 8 -3p+ 12= 2p
⇒ 8+12= 2p+3p
⇒ 20= 5p
⇒ 20/5= p
⇒ 4= p

Final answer: p=4~

5 0

3 years ago