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AnnyKZ [126]
3 years ago
12

Abby scored 87, 86, 93, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an

average of exactly 91 on her history quizzes.?
A.94 B.98 C.100 D.90
​
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

(C) 100

Step-by-step explanation:

The average of a data set is just all the numbers added up divided by the amount of numbers.

If we already have 4 pieces of data and we're looking for one more, we have 5 data pieces.

This means that the sum of all of the numbers in the data set will be 91\cdot5=455 if the mean is 91.

We can find the missing value by adding up what we know and subtracting from 455.

87+86+93+89=355\\\\455-355=100

So Abby needs a 100% on her fifth history quiz to have an average of 91 on all her quizzes.

Hope this helped!

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In the figure AB is parallel to CD. BC is parallel to AE. angle ABD measures (3x+4). angle BCD measures (6x-8). angle EDF measur
Elanso [62]

Answer:

The measure of angle BCD is 68.5\°

Step-by-step explanation:

step 1

Find the value of x

we know that

m -----> form a straight line

substitute the values

(3x+4)\°+(6x-8)\°+(7x-20)\°=180\°

(16x-24)\°=180\°

16x=180\°+24\°

16x=204\°

x=12.75\°

step 2

Find the measure of angle BCD

m

substitute the value of x

m

6 0
3 years ago
A student draws a quadrilateral that has two sides measuring 5 cm and two sides measuring 8 cm, and the sides opposite to each o
ch4aika [34]

Answer:

B

Step-by-step explanation:

two sides are longer than the other two, D could also be one of the choices but rectangles have two parallel lines and have shorter sides at the sides

3 0
3 years ago
A triangular field has sides 218.5 and 213.3 and the angle between them measures 58.96°. Find the area of the field.
Zolol [24]

Answer:

The area of the field = 19966.21 units²

Step-by-step explanation:

* Lets explain how to find area of a triangle by trigonometry rule

- In any triangle if you have the lengths of two sides and the measure

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 triangle is A = \frac{1}{2}s_{1}s_{2}sin\alpha , wher α is the

 including angle between them

* Lets solve the problem

∵ The field is shaped triangle

∵ The lengths of two sides of the field are 218.5 and 213.3

∴ s1 = 218.5

∴ s2 = 213.3

∵ The measure of the angle between the two sides is 58.96°

∴ α = 58.96°

- Lets find the area using the rule of trigonometry

∴ A=\frac{1}{2}(218.5)(213.3)sin(58.96)=19966.21

∴ The area of the field = 19966.21 units²

4 0
3 years ago
A circle has a radius of 18 and a center at (10,-9). Find the equation of the circle.
gulaghasi [49]

Answer:

(x-10)²+(y+9)²= 324.

Step-by-step explanation:

For this question, you will need to substitute these values into the equation of a circle:

(x-h)²+(y-k)²= r²

'h and k' represent the center points, and 'r' represents the radius.

This will result in:

(x-10)²+(y+9)²=324.

4 0
3 years ago
What are the steps for drawing the midsegment of any triangle on a coordinate plane
marin [14]
<span>This construction uses Constructing the Perpendicular Bisector of a Line Segment to find the midpoints of the sides.

</span>To construct a midsegment, find the midpoint of two sides. This can be done by drawing a perpendicular bisector on one side of the triangle<span>. 
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
3 0
3 years ago
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