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3 years ago

In the diagram, the length of segment VS is 39 units.

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

$TV=38\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The figure shows a kite

The kite has two pairs of consecutive and congruent sides and the diagonals are perpendicular

That means

TS=VS

TQ=VQ

TR=RV

we have

$VS=39\ units$

$TS=6x-3$

$6x-3=39$

solve for x

$6x=39+3\\6x=42\\x=7$

Find the value of RV

$RV=2x+5$

substitute the value of x

$RV=2(7)+5=19\ units$

Remember that

$TV=TR+RV$ ---> by segment addition postulate

we have

$TR=RV=19\ units$

$TV=19+19=38\ units$

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3 years ago

Rewrite, using the distributive property. 5(2x – 3y) = [?]* - [ ]y

olchik [2.2K]

Answer:

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Step-by-step explanation:

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3 years ago

A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately,

Marina CMI [18]

Answer:

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.

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3 years ago

Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).

Dmitrij [34]

Answer:

y = 14 $(6)^{x}$

Step-by-step explanation:

For an exponential function of the form y = a $b^{x}$

Use the given points to find a and b

Using (0, 14 ), then

14 = a $b^{0}$ ( $b^{0}$ = 1 ) , thus

a = 14

y = 14 $b^{x}$

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = $\sqrt[3]{216}$ = 6 , thus

y = 14 × $6^{x}$ ← exponential function

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3 years ago