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3 years ago

If the quadrilateral below is a kite, find m

Mathematics

2 answers:

Debora [2.8K]3 years ago

6 0

Answer:

49°

Step-by-step explanation:

7.5x-15+90=180

7.5x+75 =180

7.5x=105

x =14

so NPQ = ( 4×14 -7 ) = 49° this the answer

USPshnik [31]3 years ago

5 0

The answer is 60 degrees to your question

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Resolver la siguiente ecuación por eliminación o sustitución: a-8b= -9 a-2b= -7

Crazy boy [7]

Answer: Solution: $a=\dfrac{-19}{3}$ and $b=\dfrac{1}{3}$ .

Step-by-step explanation:

The given pair of equations:

$a-8b= -9\ ...(i)\\\\ a-2b= -7\ ...(ii)$

Eliminate equation (i) from (ii) , we get

$-2b-(-8b)=-7-(-9)\\\\\Rightarrow\ -2b+8b=-7+9\\\\\Rightarrow\ 6b=2\\\\\Rightarrow\ b=\dfrac{1}{3}$

Put value of b in (ii) , we get

$a-2\times\dfrac{1}{3}=-7\\\\\Rightarrow\ a=-7+\dfrac{2}{3}\\\\\Rightarrow\ a=\dfrac{-21+2}{3}\\\\\Rightarrow\ a=\dfrac{-19}{3}$

Solution: $a=\dfrac{-19}{3}$ and $b=\dfrac{1}{3}$ .

4 0

3 years ago

The school band is selling magazine subscriptions to raise funds for a trip. The order form lists 90 different magazines and off

Shkiper50 [21]

Would it be 270? if you take 90 3 times. due to that there are 3 different durations.

8 0

3 years ago

Read 2 more answers

Darnell team scored 40 points at the game Donald score 15% of the teams points how many points the Darnell score

andriy [413]

Donald scores 6 points

3 0

3 years ago

A certain city's population is 120,000 and decreases 1.4% per year for 15 years.

mart [117]

Answer:

Decay Problem.

Decay rate, r = 0.014
Initial Amount =120,000

$P(t)=120000(0.986)^t$
P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

$P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time$

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

Since the population decreases, it is a Decay Problem.

Decay rate, r=1.4% =0.014
Initial Amount =120,000

Therefore, the function is:

$P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t$

When t=10 years

$P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)$

8 0

3 years ago

In 2000, the total population of the U.S. was 281.4 million people. In 2010, it was 308.7 million people. What is the average ra

kifflom [539]

Answer:

2.73 million people per year

Step-by-step explanation:

Turn sentences into coordinates/points:

In 2000, 281.4 million people

(x₁, y₁) = (2000, 281.4)

In 2010, 308.7 million people

(x₂, y₂) = (2010, 308.7)

Rate of population per year:

$\sf \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

$\rightarrow \sf \dfrac{308.7-281.4}{2010-2000}$

$\rightarrow \sf 2.73 \ million \ people$

5 0

2 years ago