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alexandr402 [8]
3 years ago
11

Given the diagram below, what is mD?

Mathematics
2 answers:
Roman55 [17]3 years ago
6 0

Answer:

A. 72

Step-by-step explanation:

There are two ways to solve this problem. First of all, this quadrilateral is a trapezoid because the top two angles are congruent and there is one pair of parallel lines. One way to solve the problem is to remember all trapezoids have a measure of 360. So, mD=360-(108+108+72); this equals 72. Additionally, in a trapezoid, the bottom two angles are always congruent; therefore, angle D must equal 72 degrees.

max2010maxim [7]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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6 0
3 years ago
A drama class has a total of
Alecsey [184]
42-14= 28
28÷2=14
answer: there are 14 females in the class and 28 males in the class

Check:14+28=42
5 0
3 years ago
Read 2 more answers
a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

1x + 10y = 182
x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

1(-y + 56) + 10y = 182

-y + 56 + 10y = 182

Subtract 56 to both sides:

-y + 10y = 126

Combine like terms:

9y = 126

Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

x + y = 56

x + 14 = 56

Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
7 0
3 years ago
It costs £430 to rent a cottage for the weekend. Last year it cost £400. What percentage increase is this?
Serjik [45]

INCREMENT


430-400=30


PERCENTAGE


(30/400)*100


(30/40)*100


300/40=


7.5% is your final answer


I hope I could help

6 0
3 years ago
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Find the surface area and volume of the composite figure. Use 3.14 for π and round to the nearest tenth if needed.
Vesnalui [34]

Answer:

Step-by-step explanation:

The shape consists of three parts: a half sphere, a round cylinder and a round cone.

The half sphere volume = 1/2 * 4/3 * π * (4)^3

= 32/3 π

The round cyllinder volume = π * (4)^2 * 10

= 160 π

The round cone volume = 1/3 * π * (4)^2 * 3

= 16 π

Adding them together, the volume of shape

= 32/3 π + 160π + 16π

= (32/3 + 160 + 16)*3.14

= 586.13

Similarly the surface area

= (4π4^2)/2 + 2π4*10 + π*4*5

= (32+80+25)*3.14

= 430.18

3 0
3 years ago
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