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Zina [86]
3 years ago
11

Parallelogram ABCD is shown. CD=DE Work out the size of angle x.

Mathematics
2 answers:
Andru [333]3 years ago
7 0

Step-by-step explanation:

Angles in a parallelogram are supplementary

Scrat [10]3 years ago
4 0

Answer: x=19

Step-by-step explanation:

As CD=DE

ECD is also 38

Because it is an isosceles triangle which has 2 equal sides and angles.

As interior angles add up to 180

38+38-180=104

So CDE=104

Angle on a straight line add up to 180

180-38

AEC= 142

As oppossite angles in a parallelogram are equal

CDE=CBA

CBA=104

Finding x

Say BCA=x

Lets see CBAC

104+3x+x=180

104+4x=180

4x=76

x=19

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Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he hav
Schach [20]

Answer:

Lee has 19 nickels and 8 dimes

Step-by-step explanation:

hello, I think I can help you with this

Step 1

Let

value of a nickel=$0.05

value of a dime=$0.10

number of nickels=N

number of nickels=D

According to the question data Lee has $1.75 in dimes and nickels.

0.05N+0.1D=1.75,equation(1)

also, the number of nickels is 11 more than the number of dimes.mathematical speaking

N=11+D,equation(2)

Step 2

replace N from equation (2) into equation (1)

0.05N+0.1D=1.75

0.05(11+D)+0.1D=1.75

Now, solve for D

0.55+0.05D+0.1D=1.75

0.15D=1.75-0.55

D=1.2/0.15

D=8

Step 3

replace the value of D into equation(2) to obtain N

N=11+8

N=11+8

N=19

Hence, Lee has 19 nickels and 8 dimes

Have a great day.

5 0
3 years ago
Function or not a function
Shkiper50 [21]

Answer:

  • Not a function.

Step-by-step explanation:

<u>Functions have graphs or slopes.</u>

<u>This is not a function.</u>

<u>This is not on a graph or on a slope.</u>

Your answer is not a function.

7 0
3 years ago
Sin(13pi/2) in periodic function
Nataliya [291]
Answer: 1
13pi/2 can be simplified onto 6 pi/2, so it goes around the unit circle 6 times and left with pi/2. the coordinates of pi/2 is (0,1). the trigonometric function sin is y/r. since r is always 1 on the unit circle, the answer is the y value, in this case it is 1.
5 0
3 years ago
What is 1 1/2 times 3?
Katarina [22]
1 \frac{1}{2} = \frac{(1\cdot2) + 1}{2} = \frac{3}{2}

\frac{3}{2} \cdot 3 =\boxed{ \boxed{\boxed{\boxed{\boxed{\boxed{\bf{\frac{9}{2} = 4.5}}}}}}}}}}

So your answer as a fraction is 9/2, while your answer as a decimal is 4.5.
4 0
3 years ago
Read 2 more answers
Smallest Zero of f(x+5)=x^2+3x+30
WARRIOR [948]
Hey there
_________________
The correct answer is:
f(x+5)=(x+5)^2+3(x+5)-10

f(x+5)=x^2+10x+25+3x+15-10

f(x+5)=x^2+13x+30  and f(x+5)=x^2+kx+30 so

k=13

Now factor x^2+13x+30

Find j and k such that jk=ac=30 and j+k+b=13 so j and k are 10 and 3 so

(x+3)(x+10)

So the two zeros occur when x=-3 and -10 the smallest of which is:

x=-10

___________________________
Hope this helps you
3 0
3 years ago
Read 2 more answers
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