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Veronika [31]
3 years ago
15

If the measure of ∠2 is 83°, what is the measure of ∠3?

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Answer:

97 degress

Step-by-step explanation:

2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.

You might be interested in
The location of point V is (-3,3). The location of point X is (9,13). Determine the location of point W which is 3/4 of the way
Inga [223]

ANSWER

W(\frac{9}{7},\frac{51}{7} )

EXPLANATION

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

x= \frac{mx_2+nx_1}{m + n}

x= \frac{3(9)+4( - 3)}{4 + 3}

x= \frac{21 - 12}{4 + 3}

x= \frac{9}{7}

The y-coordinates is given by;

y= \frac{my_2+ny_1}{m + n}

y= \frac{3(13)+4( 3)}{4 + 3}

y= \frac{39+12}{4 + 3}

y= \frac{51}{7}

Hence

W(\frac{9}{7},\frac{51}{7} )

3 0
3 years ago
NEED HELP FOR THIS QUESTION
const2013 [10]

Answer:

(a) A = 0.00278787878787878x

(b) B = 0.00235294117647058x + 3

(c) The answers are as follows:

<u>For buying by credit card</u>

For 700 BWP: Cost = A = £1.95

For 800 BWP: Cost = A = £2.23

For 800 BWP: Cost = A = £2.79

<u>For buying from a Bureau de Change</u>

The equation (4) is used as follows:

For 700 BWP: Cost = B = £4.65

For 800 BWP: Cost = B = $4.88

For 1000 BWP: Cost = B = £5.35

(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Step-by-step explanation:

(a) by credit card

For the exchange rate, we have:

8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121

The expression can therefore be written as follows:

A = £0.121212121212121 * r * x ................. (1)

Where;

A = cost (including commission) of buying a particular number of Botswana pulas by credit card

r = commission on a credit card transaction = 2.3%, or 0.023

x = the number of pulas bought

Substituting for r into equation (1), we have:

A = £0.121212121212121 * 0.023 * x

A = 0.00278787878787878x ................. (2)

Equation (2) is the expression.

(b) from a Bureau de Change

For the exchange rate, we have

8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529

B = (£0.117647058823529 * r * x) + F ................. (3)

Where;

B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.

r = commission charged by Bureau de Change. = 2%, or 0.02

x = the number of pulas bought

F = fee = £3

Substituting for r and F into equation (3), we have:

B = (£0.117647058823529 * 0.02 * x) + £3

B = 0.00235294117647058x + 3 ................. (4)

Equation (4) is the expression.

c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.

<u>For buying by credit card</u>

The equation (2) is used as follows:

For 700 BWP: A = £0.00278787878787878 * 700 = £1.95

For 800 BWP: A = £0.00278787878787878 * 800 = £2.23

For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79

<u>For buying from a Bureau de Change</u>

The equation (4) is used as follows:

For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65

For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88

For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35

d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.

This can be calculated by equating equations (2) and (4) and then solve for x as follows:

0.00278787878787878x = 0.00235294117647058x + 3

0.00278787878787878x - 0.00235294117647058x = 3

x(0.00278787878787878 - 0.00235294117647058) = 3

x0.0004349376114082 = 3

x = 3 / 0.0004349376114082

x = 6,897.54 pulas

Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

5 0
3 years ago
Find the value of 4x + 3y when x = 13 and y=9
Talja [164]

Answer:

79

Step-by-step explanation:

4(13)+3(9)

52+27

79

5 0
2 years ago
Read 2 more answers
What is the image of ABC for a 270° counterclockwise rotation about P?​
MAXImum [283]

Answer:JKL

Step-by-step explanation:A 270 degree rotation represents three 90 degree rotations

Rotating ABC by 90 degrees three times places it in the position of JKL

So, the answer is B. JKL

4 0
3 years ago
Which two values of x are roots of the polynomial below?<br><br> x^2 + 5x + 9
4vir4ik [10]
x^2+5x+9

The polynomial cannot be factored with rational numbers due to b being 5. You can factor it if b is equal to 6.

None
5 0
3 years ago
Read 2 more answers
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