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Andrej [43]
2 years ago
15

Pls write the steps u did​

Mathematics
1 answer:
frez [133]2 years ago
5 0

When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.

Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.

See the drawing attached below.

Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:

m<DIE + m<HID = 18

40 + m<HID = 180

m<HID = 140

Similarly:

m<BHC + m<CHI = 180

130 + m<CHI = 180

m<CHI = 50

Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:

m<DIE = m<GIH = 40

m<GIE = m<HID = 140

m<CHI = m<AHB = 50

m<BHC = m<AHI = 130

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Find the slope of the graph of the relation y^3 − xy = −6 at the point (7, 2).
mezya [45]
Yay, implicit differnentiation

when you take the derivitive of y, you multiply it by dy/dx
example
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for x, the dy/dx dissapears

ok
so differnetiate and solve for dy/dx

3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)

so at (7,2)
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5 0
3 years ago
The value of 33+4⋅(52−42)
joja [24]

We will use order of operations (PEMDAS) to solve this.

1.) 33+4(52-42) This is our equation. So, first we are gonna subtract 42 from 52.

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3.) 37(10) Lastly we are gonna multiply 37 by 10.

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7 0
2 years ago
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Please answer this question please ​
Bas_tet [7]
<h3>Answer:</h3><h3 /><h3>Amount = Rs 13891.50</h3><h3>Compound interest = Rs 1891.50</h3>

Step-by-step explanation:

C = Amount (A) - Principal (P)

Where

C is the compound interest

To find the amount we use the formula

A = P ({1 +  \frac{r}{100} })^{n}

where

P is the principal

r is the rate

n is the period / time

From the question

P = Rs 12, 000

r = 5%

n = 3 years

Substitute the values into the above formula

That's

A = 12000 ({1 +  \frac{5}{100} })^{3}  \\ A = 12000(1 + 0.05)^{3}  \\ A = 12000 ({1.05})^{3}

We have the answer as

<h3>Amount = Rs 13891.50</h3>

Compound interest = 13891.50 - 12000

<h3>Compound interest = Rs 1891.50</h3>

Hope this helps you

8 0
3 years ago
Combine like terms.<br><br> y + 3 + 9(y + 5) =
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Answer:

The answer is 10y + 48.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

y + 3 + 9(y + 5) \\  = y + 3 + 9y + 45

Next you have to collect like-terms :

y + 3 + 9y + 45 \\  = 10y + 48

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