4/7 is the answer.
I cant reall explain becuase it will take forever xD
Answer:
The measure of the angle ABD is:
m∠ABD = 122°
Step-by-step explanation:
Given
m∠ABC = 84°
m∠CBD = 38°
To determine
Find m∠ABD
The given diagram shows that m∠ABD is the sum of m∠ABC and m∠CBD.
In other words,
m∠ABD = m∠ABC + m∠CBD
substituting m∠ABC = 84° and m∠CBD = 38°
m∠ABD = 84° + 38°
m∠ABD = 122°
Therefore, the measure of the angle ABD is:
m∠ABD = 122°
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Answer:
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality
