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Rzqust [24]
2 years ago
7

2. If the ratio of two supplementary angles is 4:5, then what are the measures of both angles?

Mathematics
1 answer:
ivann1987 [24]2 years ago
3 0

Answer:

4x+5x=90

9x=90

x=90/9

x=10

4x=40

5x=50

hence the angles are 40 degree and 50 degree respectively.

Hope this may help you

Thank you

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Solve AABC. Round your answers to the nearest hundredth, if necessary
Aloiza [94]

Answer:

C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be 180-90-65=25^{\circ}.

In any triangle, the Law of Sines is given by \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}.

Therefore, we have:

\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}

\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}

8 0
3 years ago
Tamara purchased 1,500 shares of a mutual fund at an offer price of $7.08 per share. Later she sold the investment for $10.02 pe
den301095 [7]

Answer:

Return of investment = 44.5%

Step-by-step explanation:

Number of shares purchased by Tamara = 1500

Offer price per share = 7. 08

Total amount spent on purchasing shares = 1500 × 7.08 = 10620

Dividend receive per share = 0.21

Total dividend received on 1500 shares = no. of shares × dividend received per share

Total dividend received = 1500 × 0.21 = 315

Selling price per share = 10.02

Amount received by Tamara by selling the investment = no. of shares × selling price per share

Amount received by Tamara by selling the investment

= 1500 × 10.02

= 15030

Now, Net profit received on investment = S.P of Investment + Dividend received - C.P of investment

Net profit = 15030 + 315 - 10620 = 15345 - 10620 = 4725

Return on investment = \frac{Net\ profit}{Cost\ of\  investment} \times 100

= \frac{4725}{10620} \times 100 = 44.49%

≈ 44.5 %

6 0
4 years ago
In addition to the information given below in the drawing, which statement is sufficient to prove triangle STW similar to triang
elena-s [515]
D

XZ : YZ = 5:8

3 * XY = 27 (9*3 = 27)

3*XZ : 3*YZ = 3*5 : 3*8

SW : TW = 15 : 24

SW = 15 and TW = 24
4 0
3 years ago
What is the slope-intercept form of the linear equation x + 4y = 12?
lesya692 [45]

Answer:

1

Step-by-step explanation:

x is always equal to 1

Slope intercept form is x + 4y =12 where x (1) is slope and 4y is the y-intercept.

4 0
3 years ago
PLEASE HELP ME ASAP
goblinko [34]

Answer:

20.04 units

Step-by-step explanation:

The diagram shows right triangle ABC. Use the definition of the cosine:

\cos \angle C=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}\\ \\\cos \angle C=\dfrac{BC}{AC}\\ \\\cos 51^{\circ}=\dfrac{BC}{27}\\ \\BC=27\cdot \cos 51^{\circ}\\ \\BC\approx 20.04\ units

3 0
4 years ago
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