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1 year ago

What is the missing angle

Mathematics

2 answers:

Zielflug [23.3K]1 year ago

6 0

55°

Step-by-step explanation:

110+15+x =180

x = 180 - 125

x = 55°

GrogVix [38]1 year ago

6 0

Answer:

Step-by-step explanation:

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mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500

SOVA2 [1]

Answer:

3300

Step-by-step explanation:

Formula

Gross Salary = Basic + Commission

Givens

Basic = 3000

% = 12%

Solution

Gross = 3000 + 12/100 * 2500

Gross = 3000 + 30000/100

Gross = 3000 + 300

Gross = 3300

3 0

2 years ago

5) Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her

vlada-n [284]

Answer:

100 meters

Step-by-step explanation:

Given the following :

Alex house = F

Alex school = H

Alex bus stop = G

FG = 2x meters

GH = 1000meters

FH = 1200 meters

Hence,

FH = FG + GH

1200 = (2x + 1000) meters

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100meters

Hence, x = 100 meters

7 0

2 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

sattari [20]

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{14\sqrt{3} }{x}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

x $\sqrt{3}$ = 28 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

x = 28

-----------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{14\sqrt{3} }{y}$ = $\sqrt{3}$ ( multiply both sides by y )

14 $\sqrt{3}$ = y $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

y = 14

3 0

3 years ago

CAN SOMEONE HELP WITH THIS ASAP!!!

jek_recluse [69]

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

6x+13+4x-3=90 [combine like terms]

10x+10=90 [subtract both sides by 10]

10x=80 [divide both sides by 10]

x=8

Now, we know that x=8.

6 0

2 years ago

A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sh

Ainat [17]

So,

Since this is independent probability, the probability of the event above occurring is:
$(probability\ of\ heads)(probability\ of\ even\ no.)$

First, the probability of landing on heads.
$\frac{1}{2}$

Now, the probability of rolling an even number.
<u /> $\frac{3}{6}\ or\ \frac{1}{2}$

Plug it into the equation.
$\frac{1}{2} * \frac{1}{2} = \frac{1}{4}$

The correct option is C.

7 0

2 years ago