Answer:
x=2.2
y=-3.4
Step-by-step explanation:
subtract the second from the first
-5x=-11
x=2=2
substituting by x in the first equation
so y=-3.4
Answer:
a) x = 30°
b) mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Question:
The complete question as found on Chegg website:
In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
intercepted have the following ratio of measurements:
mRS : mST :MTU : mUR=1:4:4:3
(a) If mRS = x, then write an equation that could be used to solve for x
and find the value of x.
(b) State the measure of each of the four arcs.
mRS =
mST =
MTU
MUR =
Step-by-step explanation:
Find attached the diagram related to the question
mRS : mST : mTU : mUR = 1:4:4:3
Since mRS = x
Writing the ratios of the measure of angle in terms of mRS:
mST = 4× mRS = 4×x = 4x
mTU = 4× mRS = 4×x = 4x
mUR= 3× mRS = 3×x = 3x
The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)
mRS + mST + mTU + mUR = 360°
x + 4x + 4x + 3x = 360
12x = 360
x = 360/12
x = 30°
b) The measure of angle
mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Answer:
4.5 ft
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
The first option is our answer = 4.5 ft
By scientific notation I am assuming you mean standard form, as that is used primarily in scientific calculations. The answer in standard form would be

I hope this helps!
Answer:
-8/7
Step-by-step explanation:
(-3, 6) & (4,-2)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-2 - 6) / (4 - (-3))
Simplify the parentheses.
= (-2 - 6) / (4 + 3)
= -8 / 7
Simplify the fraction.
= -8/7
This is your slope.
Hope this helps!