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Kruka [31]
3 years ago
15

What is the measure of AngleDCF? Three lines extend from point C. The space between line C D and C E is 75 degrees. The space be

tween lines C E and C F is 54 degrees
Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0

Answer:

129

Step-by-step explanation:

gizmo_the_mogwai [7]3 years ago
4 0

Answer:

  ∠DCF = 129°

Step-by-step explanation:

We assume that line CE is between lines CD and CF.

The angle sum theorem applies:

  ∠DCF = ∠DCE +∠ECF

  ∠DCF = 75° +54°

  ∠DCF = 129°

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What is the inverse function of d(x) = 2x - 4?
zysi [14]

Answer:

d^{-1}(x) = \frac{x+4}{2}

Step-by-step explanation:

let d(x) = y and rearrange making x the subject, that is

2x - 4 = y ( add 4 to both sides )

2x = y + 4 ( divide both sides by 2 )

x = \frac{y+4}{2}

Change y back into terms of x, so

d^{-1}(x ) = \frac{x+4}{2}

7 0
3 years ago
Whats 95 divided by 8 in long division
faust18 [17]
95 divided by 8=11.875
3 0
3 years ago
Read 2 more answers
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 st
wariber [46]

Answer: The price of an adult ticket = $6

The price of a student ticket = $12

Step-by-step explanation:

Let the price of an adult ticket be a

Let the price of a student ticket be b.

From the question,

5a + 14b = 198 ...... equation i

10a + 8b = 156....... equation ii

Multiply equation i by 10

Multiply equation ii by 5

50a + 140b = 1980 ...... equation iii

50a + 40b = 780 ....... equation iv

Subtract iv from iii

100b = 1200

b = 1200/100

b = 12

Put the value of b into equation ii

10a + 8b = 156

10a + 8(12) = 156

10a + 96 = 156

10a = 156-96

10a = 60

a = 6

The price of an adult ticket = $6

The price of a student ticket = $12

8 0
2 years ago
Which equation has infinitely many solutions?
ipn [44]

Answer:

Equation C. 5.1 + 2y + 1.2 = -2 + 2y + 8.3

Step-by-step explanation:

Equation C is the only equation in the list in which the terms that contain the unknown "y" on each side of the equal sign are identical, therefore when solving for this unknown and trying to group them on one side, they go away, leaving us with a relationship among numerical values that is always true:

5.1 + 2y + 1.2 = -2 + 2y + 8.3

5.1 + 1.2 = -2 + 8.3

6.3 = 6.3

Then this equation is true for any value of the unknown y, and y- can adopt infinite number of values, independent of which the equation will always be a true statement (giving thus infinite number of solutions).

4 0
2 years ago
Which expression is equivalent to 4√6/3
Nookie1986 [14]

Answer:

\frac{4}{3}{\sqrt3}

Step-by-step explanation:

The question seem incomplete;

The full question is

<em>Which expression is equivalent to 4√6/3√2 </em>

<em></em>

Given

4√6/3√2

Required

Find equivalent

4\sqrt6/3\sqrt2

Rewrite Expression

\frac{4\sqrt6}{3\sqrt2}

Expand the above expression

\frac{4\ *\ \sqrt6}{3\ * \ \sqrt2}

Further split the fraction

\frac{4}{3}\ *\ \frac{\sqrt6}{\sqrt2}

Using rule of surds;

\frac{\sqrt a}{\sqrt b} = \sqrt{\frac{a}{b}}

So, the above expression becomes

\frac{4}{3}\ *\ \sqrt{\frac{6}{2}}

\frac{4}{3}\ *\ {\sqrt3}

\frac{4}{3}{\sqrt3}

At this stage, the expression cannot be further simplified;

Hence, 4√6/3√2  = \frac{4}{3}{\sqrt3}

4 0
3 years ago
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