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3 years ago

Question 7

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

3 0

Answer:

(4,2) and (2,-2)

Step-by-step explanation:

using m=y2-y1/x2-x1

m= -2-2/2-4=-4/-2

therefore,

m=2

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In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

For ΔWXY,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}$

Now,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}$

$\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}$

$900\sin X=680\sin (157^\circ)$

$\sin X=\dfrac{680}{900}\sin (157^\circ)$

$\sin X=0.295219$

$X=\sin^{-1}(0.295219)$

$X=17.17067$

$X\approx 17$

Therefore, the value of ∠X is 17 degrees.

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3 years ago

Susan bought 2,000 grams of rice and x grams of flour from a grocery store. Which of the following expressions represents the to

IceJOKER [234]

Answer:

if both were possible to be exact same in grams which we should know first 2,000 grams is 2kg X could be equal or more in kg to equal in weight or for instance if X =10,000 it would weigh 10 kg

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3 years ago

Simplify the expression<br><br>cot^2x - cot^2x cos^2x

andrew-mc [135]

Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
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GenaCL600 [577]

Answer:

Step-by-step explanation:

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3 years ago

Please help Find the value of x

exis [7]

Answer:

Value of x is 2

Step-by-step explanation:

Given

BD = 6

DA = 4

BE = $x+1$

EC = x

Also segment DE is parallel to segment AC

∴ By using Midpoint theorem which states

$\frac{BD}{DA}\cong \frac{BE}{EC}$

Putting the given data in above equation we get

$\frac{6}{4}=\frac{x+1}{x}\\6x=4(x+1)\\6x =4x+4\\6x-4x =4\\2x=4\\x= \frac{4}{2}\\x=2$

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3 years ago