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Ksju [112]
2 years ago
5

G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles

Mathematics
1 answer:
kiruha [24]2 years ago
7 0

Answer:

G=39, F=141

Step-by-step explanation:

Let us set up equations, with G and F as variables.

Since G and F are supplementary, they must add up to 180.

G+F=180

Given the equation, we can set it up too

F = 4 * G - 15

Here, we can solve for this equation by plugging the second equation into the first one with substitution

G+4*G-15=180

simplify and solve

5G=195

G=39

Plug this into the first equation to solve for F:

39+F=180

F=141

We can plug both answers into the second equation to check and find that we are indeed right.

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Can u help me on this plzz
avanturin [10]
Median: 29
Range: 25
IQR: 14.5

Explanations:

**Median:**
(To find the median, we need to first order all the elements)

Ordered —> 15, 18, 18, 20, 23, 28, 30, 33, 33, 34, 38, 40

(Since there are an even number of elements, we need to add the two elements in the middle and divide by 2)

Median = (28 + 30)/2 = 58/2 = 29

**Range:**

(To find the range, you just have the subtract the smallest one from the largest)

Range = 40 - 15 = 25

**IQR:**

First half of elements —> 15, 18, 18, 20, 23, 28
Second half of elements —> 30, 33, 33, 34, 38, 40

Q1 (Quartile 1) = Median of first half = (18 + 20)/2 = 38/2 = 19
Q3 (Quartile 3) = Median of second half = (33 + 34)/2 = 67/2 = 33.5

IQR = Q3 - Q1 = 33.5 - 19 = 14.5
5 0
2 years ago
Find the missing dimension:if the perimeter is 6yards and the length is 6ft .what is the width?in yards
larisa [96]
Since you haven't identified this figure, I'm going to assume that it's a rectangle.

The Perimeter of a rectangle of length L and width W is P = 2L + 2W.

Here you are given the Perimeter and the length, and are to find the width, W.

Solving the above equation for W, we get P - 2L = 2W.
Dividing by 2 (to isolate that W), we get 

P
-- - L = W
 2

Substitute P= 6 yds and L = 6 feet (or 2 yds), find W (in yards).
8 0
2 years ago
Which of the following numbers are divisible by 2 3 and 6 grad 7 ​
Ray Of Light [21]

Answer:

Is there any picture for it?

Step-by-step explanation:

6 0
2 years ago
What is the volume of a cylinder with a diameter of 8 name m and a height of 5.5
Cerrena [4.2K]

To begin, you must plug all the values you have into a formula, and also putting them in the right form.

The formula for the volume of a cylinder is: πr²h

FINDING RADIUS: With this in mind, now we know that, our diameter must be converted to a radius. To do this, you divide your diameter by two. This gives you, 4 as your radius.

FINDING HEIGHT: In the question you sent, you can tell they've given you, your height, so all you need to do is plug it into the equation.

PLUGGING IT IN:

Your pi, stays the same when using a calculator, just press your pi symbol depending on the calculator you are using. Your radius is 4, therefore it wants you to square it, which is 4x4, which equals 16. Next, you want to multiply it by the height, so just multiply it with your height, 5.5

YOUR ANSWER:

276.46m

6 0
3 years ago
Twelve more than the product of a number and 5 is 52
antoniya [11.8K]
Let the unknown number be y.
We can list the equation out by the clues given.
5y + 12 = 52
Then solve this as simple algebra!
Shift +12 to the other side and be - 12
5y = 52-12
5y = 40
Shift x5 to the other side and be ÷5
y = 40 / 5
y = 8
Therfore the unknown number is 8.
7 0
3 years ago
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