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2 years ago

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the eqition of the diagonal of a parallelogarm is 3y=5x+k . the two opposite vertices of a parallelogram are the points (1,-2),(

-2,1). find the value of k .

1 answer:

sveticcg [70]2 years ago

4 0

There man i hope you'll understand ✌

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The length of TR is 17 units. What are the lengths of SV and QT? (please hurry i dont get this question) also i need each indivi

Zielflug [23.3K]

Answer:

<h2>QT = 21</h2><h2>SV = 41</h2>

Step-by-step explanation:

From the diagram, it can be seen that TR is parallel to RV. This means that TR = RV. Given TR = 17 and RV = 3x+2

3x+2 = 17

3x = 17-2

3x = 15

x = 5

RV = 3(5)+2 = 17

QV = 4x+1 = 4(5)+1

QV = 21

Using Pythagoras theorem on ΔQRV to get RQ

QV² = QR²+RV²

21² = QR²+17²

QR² = 21²-17²

QR = 12.33

Using Pythagoras theorem on ΔQRT to get QT

From ΔQRT,

QT² = QR²+TR²

QT² = 12.33²+17²

QR² = 152.0289+289

QT² = 441.0289

QT =21

Since TS = 9(5)-4 = 41

Using Pythagoras theorem on ΔTRS

From ΔTRS,

TS² = RS²+TR²

41² = RS²+17²

RS² = 41²-17²

RS² = 1392

RS = 37.31

Similarly Using Pythagoras theorem on ΔRSV

From ΔRSV,

SV² = RV²+RS²

SV² = 17²+37.31²

SV² = 1681.0361

SV = 41

7 0

2 years ago

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Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar than recipe B call

vredina [299]

Answer:

Step-by-step explanation:

2c-1/3=4 1/6

(1/3 x 2= 2/6)

2c= 3 5/6

(6 x 3 + 5)

2c=23

c=11.5 or 11 1/2

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2 years ago

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Karen walked three miles in 48 mins. Bob walked one mile further than Karen. If it took Bob 1 hour and 5 min to complete his wal

nlexa [21]

Answer:

Karen

Step-by-step explanation:

Karen because it took bob and extra minute to walk the last mile.

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2 years ago

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Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10’(of her skin cells were burned then, ho

lora16 [44]

Answer:

The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ .

Step-by-step explanation:

Given as :

The percentage of Jennie's skin cell were burned = 3 %

The quantity of Jennie's skin cell were burned = 3.7 × $10^{10}$

Let The quantity of Jennie's skin cell were not burned = x

Let Total quantity of whole skin cell = n

<u>Now, According to question</u>

The quantity of Jennie's skin cell were burned = Total quantity of whole skin cell × percentage of Jennie's skin cell were burned

i.e 3.7 × $10^{10}$ = n × 3 %

Or, 3.7 × $10^{10}$ = n × $\dfrac{3}{100}$

Or, n = 3.7 × $10^{10}$ × $\dfrac{100}{3}$

Or, n = $\frac{3.7\times 10^{12}}{3}$

i.e n = 1.233 × $10^{12}$

Or, Total quantity of whole skin cell = n = 1.233 × $10^{12}$

<u>Now, Again</u>

∵ percentage of Jennie's skin cell were burned = 3 %

So, percentage of Jennie's skin cell were not burned = 100 % - 3 % = 97 %

so , The quantity of Jennie's skin cell were not burned = 97 % of Total quantity of whole skin cell

Or, x = $\frac{97}{100}$ × n

Or, x = $\frac{97}{100}$ × 1.233 × $10^{12}$

∴ x = 119.601 × $10^{10}$

So, The quantity of Jennie's skin cell were not burned = x = 119.601 × $10^{10}$

Hence, The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ . Answer

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2 years ago

An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for

jasenka [17]

Answer:

$2.95 x + 39.95 (12)$

Step-by-step explanation:

Given data

Charge per movie= $2.95

monthly fee= $39.95

let the number of movies be x

Hence the expression for the total is given as

$Total= 2.95(x)+39.95(12)$

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2 years ago

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