Answer:
**
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Step-by-step explanation:
I would use Pythagorean Theorem to setup two equations since there are two triangles with no angle information.
Let
where
is equal to the first partition of
(reading from left to right) and
is equal to the second partition of
(reading from left to right).
We have the following system to solve:


I will use elimination to first solve for
.
Subtract the equations:

Factor both sides using
:

Simplify inside the
.

Divide both sides by 9:

Divide both sides by 11:

Simplify both sides:

Add 99 on both sides:

Divide both sides by 2:

Now go to either equation we had in the beginning to find
.
with 


The consumer price index or the CPI measures the average change over time in the prices paid by a customer <span>for a market basket of consumer goods and services.</span>
Answer:
48 sweets
Step-by-step explanation:
5:2:4
Sarah: 5
Natasha:2
Richard:4
To find out how many sweets Richard got, we need to use 60 as the lcm. Since, we have a definite constant of 60 we need to divide it by the presiding ratio.
60/5 = 12
That means for a ratio of 1, everyone in the group recieves 12.
Now, we plug it in for each of the members.
5x = Sarah
2x = Natasha
4x = Richard
Sarah = 60 sweets
Natasha = 24 sweets
Richard = 48 sweets
Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (4, - 3)
m =
=
= -1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 2), then
2 = 1 + c ⇒ c = 2 - 1 = 1
y = - x + 1 ← equation in slope- intercept form