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lidiya [134]
3 years ago
10

Of the students at Milton middle school 171 are girls if 45% of the students are girls how many total students are there at milt

on middle school
Mathematics
1 answer:
Volgvan3 years ago
8 0

Answer:

380

Step-by-step explanation:

171:45=3,8

3,8*100=380

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If the measure of angle BCD=51 degrees, solve for x.
BabaBlast [244]

Answer:

x=5

Step-by-step explanation:

step 1

Find the measure of angle EFD

In this problem I will assume that ABCD is a parallelogram

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

so

m\ angle BCD=m\angle BED=51^o

m\ angle FED=(1/2)m\angle BED=(1/2)51^o=25.5^o --- > given problem

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EFD

m\ angle FED+m\ angle FDE+m\ angle EFD=180^o

substitute the given values

25.5^o+55^o+m\ angle EFD=180^o

80.5^o+m\ angle EFD=180^o

m\ angle EFD=180^o-80.5^o

m\ angle EFD=99.5^o

step 2

Find the measure of angle EFB

we know that

m\angle EFB+m\angle EFD=180^o ---> by supplementary angles

we have

m\ angle EFD=99.5^o

substitute

m\angle EFB+99.5^o=180^o

m\angle EFB=180^o-99.5^o

m\angle EFB=80.5^o

step 3

Find the value of x

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EBF

m\ angle BEF+m\ angle EFB+m\ angle EBF=180^o

we have

m\angle BEF=m\ angle FED=25.5^o

m\angle EFB=80.5^o

m\angle EBF=(14x+4)^o

substitute

25.5^o+80.5^o+(14x+4)^o=180^o

solve for x

Combine like terms

(14x+110)^o=180^o

14x=180-110

14x=70

x=5

4 0
3 years ago
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
den301095 [7]
ANSWER

A) -1

EXPLANATION

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).

That is the average rate of change is:

= \frac{f(4) - f(0)}{4 - 0}

From the graph, f(0) is 0 and f(4) is -4.

We plug in these values to obtain;

= \frac{ - 4 - 0}{4 - 0}

This simplifies to;

= \frac{ - 4}{4}

= - 1

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1
5 0
3 years ago
Read 2 more answers
56 books 75% increase
Sliva [168]
56 * .75 = 42
42+ 56 = 98
Answer is 98
6 0
3 years ago
In a certain year, the population of Smallburg was $4{,}000.$ In the following year, the population increased by $15\%.$ What wa
makkiz [27]

Answer:

4,600

Step-by-step explanation:

To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Next, multiply 4,000 by 0.15:

x= 4,000(0.15)

x=600

The last step is to add the 600 back to 4,000:

4,000 + 600 = 4,600

The population of Smallburg the following year was 4,600.

5 0
3 years ago
What is the formula for the area of a triangle?
Semmy [17]

Answer:  c. (1/2) bc sin A

<u>Step-by-step explanation:</u>

You can find the area of a triangle using trigonometry if you know the lengths of two sides and the measure of the included angle using the following formula:

A=\dfrac{1}{2}ab\sin C

5 0
3 years ago
Read 2 more answers
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