Answer:
Step-by-step explanation:
1.
The supplementary angles to ∠x are adding to 180° and are ∠HGC and ∠BGA
2.
If ∠DGE = 90° , then
∠CGD is also 90° because ∠DGE and ∠CGD are a linear pair and
∠HGC is also 90° because ∠DGE and ∠HGC are vertical angles
Answer:age of the man: 75 age of the woman:25
Step-by-step explanation:
First, We need to define the variables
x: age of the man
y: age of the woman
at the first time he has three times her age
x=3y (1)
in 25 years time
(x+25)=2(y+25) (2)
we clear the equation
X+25=2y+50
X=2y+25
we substitute in the (1) equation:
2y+25=3y
y=25
x=3*25=75
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
Answer:
10 jelly beans.
Step-by-step explanation:
Let x be ounces of jelly beans.
We have been given that a jar contains 10 ounces of gumdrops, 3 ounces of licorice bits, and 3 ounces of jelly beans.
To make weight of jelly beans be 50% of total assortment, we will add x ounces of jelly beans to 3 so that it will be 50% of total assortment plus x. We can represent this information in an equation as:

Let us solve for x.








Therefore, 10 jelly beans must be added to make the assortment 50 percent jelly beans in weight.
Let us cross check our answer.

T= -15.1 is the final answer to this question