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Nady [450]
2 years ago
11

Prove that the diagonals of kite UVWX are

Mathematics
2 answers:
Fittoniya [83]2 years ago
7 0

Answer:

The answer is the slope of XV is 1.

The slope of UW is -1

The slopes of the diagonals are negative reciprocals

The diagonals of kite UVWX are perpendicular

Step-by-step explanation:

Negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.

Mariana [72]2 years ago
5 0

Answer:

1, -1, negative reciprocals, perpendicular

Step-by-step explanation:

edge

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Li keeps track of the time he spends working out each week. The table shows the number of cardio workouts and the number of weig
Dmitry [639]

Step-by-step explanation:

1)X represents the time he spent in cardio.

Y represents the time he spent in weighted.

2)If you could put the options on the second one it would be better.

3)4x+y=210

3x+2y=195

y=210-4x

3x+2(210-4x)=195

3x+420-8x=195

5x=420-195

5x=225

x=45

y=30

Total time of one cardi and weighted = 75min= 5/4 h.

4)2x+4y=

90+120=210 total time of week three.

4 0
2 years ago
Read 2 more answers
In the diagram, the measurements that are labeled are known, while the other measurements are unknown. Which measurement of acut
andrew-mc [135]
As the sine rule states,

A/sina = B/sinb = C/sinc .

in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.

there are:

side a, with angle â .
side b, with angle b.

so the answer is C.

if you input these into the sine rule, it would be:

a/ sin a = b/sin b
8 0
2 years ago
If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what
Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : A=P(1+r)^t

A_1=42000(1+0.03)^1

A_1=43260

A_2=42000(1+0.03)^2

A_2=44557.8                  

A_3=42000(1+0.03)^3

A_3=45894.534                

A_4=42000(1+0.03)^4

A_4=47271.370                

A_5=42000(1+0.03)^4

A_5=48689.511            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215

5 0
1 year ago
To buy a computer, Raquel borrowed $3,000 at 9%
kumpel [21]

Answer:

$4080

Step-by-step explanation:

We have the amount she will pay back, but first, we need to find the Interest accrued.

Simple Interest is given as:

I = \frac{P * R * T }{100}

where P = principal

R = rate

T = time taken (in years)

Therefore, the interest on $3,000 at 9%  simple interest for 4 years is:

I = \frac{3000 * 9 * 4}{100}

I = $1080

Therefore, the amount she will pay back is:

$3000 + $1080 = $4080

6 0
1 year ago
Which value of y would make O P is parallel to L N?<br><br> 16<br> 24<br> 32<br> 36
natita [175]

Answer:

Step-by-step explanation:

Triangle proportionality theorem,

\frac{MO}{OL}=\frac{MP}{PN}\\\\\frac{28}{14}=\frac{y}{18}\\\\\frac{28}{14}*18=y\\\\y=\frac{28}{7}*9\\\\y=4*9\\\\y=36

8 0
2 years ago
Read 2 more answers
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