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Marta_Voda [28]
3 years ago
5

Find the value of z in the figure below..​

Mathematics
1 answer:
zzz [600]3 years ago
3 0

answer

z = 100

opposite angles

when inscribed in a circle, the opposite angles of a quadrilateral add up to 180

so z + 80 = 180 and y + 120 = 180

solve for z

z + 80 = 180

z = 180 - 80

z = 100

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11. The doubling time of a population of plants is 12 years. Assuming that the initial population is 300 and that the rate of in
Anastasy [175]

Answer:

The population will be of 2400 in 36 years.

Step-by-step explanation:

The equation for the population of plants after t years follows the following format:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial amount of plants and r is the yearly rate which it increases.

Assuming that the initial population is 300

This means that P(0) = 300.

The doubling time of a population of plants is 12 years.

This means that P(12) = 2*300 = 600.

We use this to find r.

P(t) = P(0)(1+r)^{t}

600 = 300(1+r)^{t}

(1+r)^{12} = 2

\sqrt[12]{(1+r)^{12})} = \sqrt[12]{2}

1 + r = 1.05946

So

P(t) = 300(1.05946)^{t}

How large will the population be in 36 years

This is P(36)

P(t) = 300(1.05946)^{36} = 2400

The population will be of 2400 in 36 years.

6 0
3 years ago
Angle KLM and angle MLN are a linear pair. Ray LR is to be added to the diagram so that it is opposite ray LM. Which is true abo
lesya [120]
Angles RLN and MLK would be vertical angles.
Right. Vertical angles are formed when their sides share the same lines. RL shares the same line with LM and NL shares the same line with LK (see the attached diagram), so that means both angles form a vertical pair.

Angles RLN and MLN would be vertical angles.
Wrong.
They are linear pairs, because they are adjacent and supplementary. Adjacent angles share a side – in this case, LN. Supplementary angles sum 180°, which you can see is right because the other sides (ML and RL) are in the same line. RLN and MLN sum the same as the size of RLM, which is a line, so it’s 180°.  <span>

Angles RLN and KLM would be a linear pair. </span>
Wrong.
They would be a vertical pair (see definition of vertical pair in the first option). RL is opposed to LM and LN is opposed to KL.

Angles RLN and KLN would be a linear pair.
Wrong.
KLN is actually a line, so it’s actually 180°, so it can’t be a linear pair with KLN. Linear pairs sum 180°, which is impossible because KLN itself is already 180°, so any sum will throw a higher number.



9 0
3 years ago
Read 2 more answers
When 31 times a number is increased by 40, the answer is the same as when 200 is decreased by the number. Find the number.
natulia [17]

Answer:

The Answer is: 5.

Step-by-step explanation:

Let n = number.

The number times 31 plus 40 is equal to 200 minus the number:

31n + 40 = 200 - n

32n = 200 - 40

32n = 160

n = 5

Proof:

31(5) + 40 = 200 - 5

155 + 40 = 195

195 = 195

Hope this helps! Have an Awesome Day!! :-)

5 0
3 years ago
BRAINLIEST, THANKS, and a 5-STAR RATING IF YOU ANSWER! PLEASE HURRY!
Andru [333]

Answer:

87.03%

Step-by-step explanation:

You have to find out how much is 10% of 96.7.

So 96.7 x 0.10 = 9.67

Since you're getting a 0 then you directly subtract that from the 96.7% you have.

The answer also has to do with the total grade and total assignments done but that info is not provided

3 0
3 years ago
How do you describe a circle as a collection of points (loci) on a plane
dimulka [17.4K]

Answer:

You Might Be Good At It.

Step-by-step explanation:

8 0
3 years ago
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