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3 years ago

Can anyone please help me with this RSM question? I have literally posted this like four times!

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

5 0

Answer:

Angles in a triangle add up to 180.

ABG - x + 90 + ANGLE AGB = 180

Angles on a straight add up to 180.

CDE - 8x + ANGLE D + 3x = 180

Alterate angles - ATTACHMENT

ANGLE D = x

8x + x + 3x = 180

12x = 180

x = 180/12

zlopas [31]3 years ago

5 0

Answer:

x = 15

Step-by-step explanation:

Line FD is perpendicular to line EB. Line AC is perpendicular to line EB. Lines that are perpendicular to the same line are parallel. That makes lines FD and AC parallel. Angles EDF and C are corresponding angles of parallel lines cut by a transversal, so they are congruent. That makes m<C = m<EDF = 3x.

The sum of the measures of the angles of a triangle is 180 degrees.

Look at triangle ACD.

m<A + m<C + m<ADC = 180

x + 3x + 8x = 180

12x = 180

x = 15

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A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back a

vladimir1956 [14]

Answer

Find out the how far into the country does he go.

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

$Time =\frac{Distance}{Speed}$

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

Than the equation becomes

$\frac{x}{10} +\frac{x}{3} = 6.5$

L.C.M of (10,3) = 30

Than the equation becomes

3x +10x = 195

solving

13x = 195

$x = \frac{195}{13}$

x = 15 miles into the country

Hence proved

6 0

3 years ago

What is the number you are multiplying by in a sequence

slega [8]

Answer:

common ratio

Step-by-step explanation:

When you have a geometric sequence

an = a1 r^(n-1)

The term r is call the common ratio, which is the number we are multiplying by each time

3 0

3 years ago

Read 2 more answers

two towers labeled Tower A and Tower B some distance apart and a fire image at a certain distance from both towers Towers A and

astra-53 [7]

Answer:

7.0 mi

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$42^o+64^o+C=180^o\\C=180^o-106^o=74^o$

step 2

Find the measure of a

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{10}{sin(74^o)}=\frac{a}{sin(42^o)}$

solve for a

$a=\frac{10}{sin(74^o)}sin(42^o)\\a=7.0\ mi$

8 0

3 years ago

Read 2 more answers

Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold

sergiy2304 [10]

9514 1404 393

Answer:

0.33 litres

Step-by-step explanation:

If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...

3(m +0.07) +4m = 2.52

7m +0.21 = 2.52 . . . . . . . . simplify

7m = 2.31 . . . . . . . . . . . . . subtract 0.21

m = 0.33 . . . . . . . . . . . . . divide by 7

Each mug can hold 0.33 litres.

4 0

3 years ago

Sam earns ₹9000 and his friend Lisa earns ₹6000 per month. Find the ratio of

zavuch27 [327]

Step-by-step explanation:

Sam's Income = ₹9000

Lisa's Income = ₹6000

Total earning = Sam's Income + Lisa's Income = ₹15000

Now,

Ratio of Sam's Income to the Total earning = ₹9000/₹15000 = 3:5

Ratio of Lisa's Income to Sam's earning = ₹6000/₹9000 = 2:3

3 0

2 years ago