Answer:
1. 2+2 = 4
2. 2x +2 = y
3. Terms - 16ab, 5c, 8, 2l, 2w, h, w, l
Coefficients - 16, 5, 8, 2, 2
Constants - 8, h, w, l
4. 2
5. -7
Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:

Solve for x


Subtract 8x from both sides


Add 11 to both sides


Divide both sides by 2


2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Answer:
Option B is the correct choice.
Step-by-step explanation:
The graph is attached below.
We have to find the
intercept meaning the value of the point on
when 
So we will put the value of zero
instead of
in our given equation.
So here we have solved it algebraically.

Putting 


Multiplying
both sides.

Adding
both sides.

Dividing with
both sides.

So the x-intercept of the given equation is
which can be written as
in terms of coordinates.
Option B
is the correct choice.