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ELEN [110]
4 years ago
9

If the measure of angle DCF = 34 and the measure of angle DEF = 90, find the measure of angle CDE.

Mathematics
1 answer:
spayn [35]4 years ago
3 0

Answer:

118

Step-by-step explanation:

Triangle CDE contains angles CDE, DCR and DER

Angles DCR=17 and DER=45 because in a kite, the diagonal on the line of symmetry bisects the angles and 34-2=17 90/2=45

The angles in a triangle add up to 180 and 180-17-45=118, meaning angle DER=118

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What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
iragen [17]

Answer:

y = 2x + 2

Step-by-step explanation:

The general form

is;

y = mx + b

where m is the slope and b is the y-intercept

so we have;

y = mx + 2

To get m, substitute the point (-1,0)

So we have

0 = -m + 2

m = 2

So the equation is;

y = 2x + 2

4 0
3 years ago
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svlad2 [7]
What is the slope of the line segment XY?
For this one the answer is -2 so the answer is A.

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8 0
3 years ago
Reduce the following expression: (a-b) / (b-a)
Lynna [10]

Answer:

Simplify   —————

           b - a

1.1    Rewrite   (b-a)    as  (-1) •  (a-b)

Canceling Out :

1.2    Cancel out  (a-b)  which now appears on both sides of the fraction line.

Final result :

 -1

Step-by-step explanation:

4 0
2 years ago
The age of a father is three times that of his son. In ten year's time their ages will add up to 68 years. If the son is x years
Elodia [21]

Answer:

46 and 22

Step-by-step explanation:

let the father b (f) and d son is (s)

so

f=3s.....(1)

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substitute f=3s in equation (2)

we have

(3s+10)+(s+10)=68

4s+20=68

4s=68-20

4s=48

s=12 .......(3)

substitute (3) in (1)

f=3*12

which f=36

in 10 year time

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s+10=22

3 0
2 years ago
The capacity of a small theater is 125 people. Tickets for a particular show cost $14.50. The revenue for that show is a functio
faltersainse [42]

Answer:

The domain of this function is first restricted to all non negative integers  because the theater can sell only a whole number of tickets.

The domain is restricted to numbers less than or equal to 125 because the theater cannot sell more tickets than capacity.

Step-by-step explanation:

3 0
3 years ago
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