Ask question

Ask question

All categories

3 years ago

12

The ratios of measures of the angles in Triangle ABC is 4:13:19. Find the measures of each of the angles. Show all of your work/

explain in order to receive full credit.

1 answer:

Grace [21]3 years ago

5 0

Answer:

20

65

95

Step-by-step explanation:

Remark

You have to use a constant to get the ratio so that it will produce angles that will add up to 180. Let that constant = x

Equation

4x + 13x + 19x = 180

Solution

Add the like terms on the left.

36x = 180

Divide both sides by 36

36x/36 = 180 /36

Combine

x = 5

Answer

4x = 20

13x = 65

<u>19x = 95</u>

Total = 180

You might be interested in

Estimate the sum 4.86+9.57

ValentinkaMS [17]

Answer:

about 14 or 14.3 to be more specific

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Determine an equation for the right bisector of the line segment with endpoints J(-5,3) and K(3,-2)

Norma-Jean [14]

Answer:

$y=1.6x+2.1$

Step-by-step explanation:

we know that

The right bisector of the line segment JK is a perpendicular line to the segment JK that pass through the midpoint of segment JK

step 1

Find the midpoint JK

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

$J(-5,3),K(3,-2)$

substitute the values

$M(\frac{-5+3}{2},\frac{3-2}{2})$

$M(\frac{-2}{2},\frac{1}{2})$

$M(-1,\frac{1}{2})$

step 2

Find the slope JK

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$J(-5,3),K(3,-2)$

substitute

$m=\frac{-2-3}{3+5}$

$m=\frac{-5}{8}$

$m=-\frac{5}{8}$

step 3

Find the slope of the line perpendicular to the segment JK

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=-\frac{5}{8}$ ----> slope of segment JK

Find m_2

substitute

$(-\frac{5}{8})*m_2=-1$

$m_2=\frac{8}{5}$

step 4

Find the equation for the right bisector of the line segment JK

The equation in point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=\frac{8}{5}$

$point\ M(-1,\frac{1}{2})$

substitute

$y-\frac{1}{2}=\frac{8}{5}(x+1)$

Convert to slope intercept form

isolate the variable y

$y-\frac{1}{2}=\frac{8}{5}x+\frac{8}{5}$

$y=\frac{8}{5}x+\frac{8}{5}+\frac{1}{2}$

$y=\frac{8}{5}x+\frac{21}{10}$

$y=1.6x+2.1$

7 0

3 years ago

calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interes

natulia [17]

Answer:

Simple: 6000

Compound: 6050

Difference: 50

Step-by-step explanation:

Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get

A = 5000(1+10% * 2)

convert 10% to a decimal by dividing by 100 and plug that in

10% = 0.1

5000(1+0.1*2) = 5000(1.2) = A = 6000

Compound interest formula: A = P(1+r)^t

Plug our values in

5000(1+0.1)^2 = 6050

Difference = 6050 - 6000 = 50

7 0

2 years ago

2 times as many as 8 is 20

Musya8 [376]

Answer:

I don't understand what you want me to do

Step-by-step explanation:

6 0

3 years ago

suppose a population of 250 crickets doubles in size every six months. How many crickets will there be after two years?

lord [1]

double every 6 months

in 6 months there would be 250*2 = 500 crickets

in 1 year there would be 500*2 = 1000 crickets

in 1.5 years there would be 1000 *2 = 2000 crickets

in 2 years there would be 2000 *2 = 4000 crickets

4 0

3 years ago