End of Semester test geometry semester a question 29


Triangle DEF is dilated with respect to the origin by a scale factor of to produce ΔD'E'F'. What is the length of side D'E'?


A.

B.

C.

D.

Answer:

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

Answer:

2

Step-by-step explanation:

the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly

The number that can be added to 17/4 to make 5 is 3/4

Given

Add to 17/4 to make 5

let

x + 17/4 = 5

x = 5 - 17/4

x = (20-17) / 4

x = 3/4

Learn more about fraction:

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Answer:

Step-by-step explanation:

        3x − y = 9

           +3x − y = +9

Therefore, the answers are:

Hoped this helped.

[tex]BrainaicUser1357[/tex]

Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.  

Answer:

not even bill nye could solve this

Answer:

  (c)  (12th root of 8)^x

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]

In this case, we have ...

  [tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]

Answer:

144

Step-by-step explanation:

divide 50 by 3 and then multiply by 9

Answer:

n is 113

Step-by-step explanation:

Is an isosceles triangle so the base angles are equal

therefor angles sum up to 180

46 + x + x = 180

46 + 2x = 180

2x = 180 - 46

2x = 134

x = 67

now to find n

the sum of angles on a straight line equals 180

n + x = 180

n + 67 = 180

n = 180 - 67

n= 113

Answer:

the base angle of an isosceles triangle are equal

let the base angle be y°

46° + y° + y° = 180°(sum of angles in a ∆)

46° + 2y° = 180°

2y° = 180° - 46°

2y° = 134°

y° = 134/2

y°=67°

n+y=180°[sum of angles on a straight line]

n+67=180°

n=180-67

n=113°

Answer:

1/4

Step-by-step explanation:

Sample space = 12

Prob of sum = 8 is:

[2,6], [3,5]. [4,4]

That is 3/12 = 1/4

Answer: 8.26

Step-by-step explanation:

Should I Explain How I got it?

132.16 divided by 16 is equal to 8.26.

Here, we have,

given that,

132.16 divided by 16

so, we have, 132.16 ÷ 16

To find the quotient of 132.16 divided by 16,

we can perform long division:

    8.26

____________

16 | 132.16

112

____________

20

Therefore, 132.16 divided by 16 is equal to 8.26.

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Answer:

3

Step-by-step explanation:

2  +  3  =   7

---    ---      ---

6      6       6

Answer:

25 + 45 = 5 (5 + 9)

Step-by-step explanation:

25 + 45 = ? (5 + 9)

Step 1: 25 ÷ 5 = 5

Step 2: 25 ÷ 9 = 5

? = 5

Answer:

c 146.7

Step-by-step explanation:

cuz

Step-by-step explanation:

log 10/log7=a

log10=alog7

log10=log7^a

10=7^a

log 5/log7=b

log5=blog7

log5=log7^b

5=7^b

Answer:

13

Step-by-step explanation:

I think u mean if the length is 34. If so heres how to work it out.

l = 2w + 8

l = 34.

34 - 8 = 26

26 / 2 = 13.

Width = 13

Answer:

x < 13

Step-by-step explanation:

→ Write an equation for the width

2x

→ Write an equation for the length

8 + 2x

→ Set up an equation

8 + 2x < 34

→ Solve

x < 13

Answer:

w=100

Step-by-step explanation:

Every time you multiply a decimal by 20 the dot goes one place to the right Example: 0.35 x 10= 3.5 or 0.35 x 100= 35

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

Answer:

Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.

Step-by-step explanation:

hope this helps!!

Answer:

Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.

Answer:

see explanation

Step-by-step explanation:

(a)

Substitute x = - 1 into f(x)

f(- 1) = 6 - 2(- 1) = 6 + 2 = 8

(b)

Substitute x = [tex]\frac{1}{3}[/tex] into g(x)

g([tex]\frac{1}{3}[/tex] ) = [tex]\frac{9}{\frac{1}{3} }[/tex] = 9 × 3 = 27

(c)

Substitute x = f(x) into h(x)

h(6 - 2x)

= 6 + (6 - 2x)² ← expand using FOIL

= 6 + 36 - 24x + 4x² ← collect like terms

= 4x² - 24x + 42

(d)

Substitute x = f(x) into g(x)

g(6 - 2x)

= [tex]\frac{9}{6-2x}[/tex]

(e)

Evaluate g(12) then substitute value obtained into f(x)

g(12) = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex] , then

f([tex]\frac{3}{4}[/tex] ) = 6 - (2 × [tex]\frac{3}{4}[/tex] ) = 6 - [tex]\frac{3}{2}[/tex] = [tex]\frac{9}{2}[/tex]

(f)

Evaluate f(- 9) then substitute the value obtained into h(x)

f(- 9) = 6 - 2(- 9) = 6 + 18 = 24 , then

h(24) = 6 + 24² = 6 + 576 = 582

Answer:

d x 7 = 105

Step-by-step explanation:

[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]

[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]

Answer:

I think is there answer is 26.606

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

Answer:

18

Step-by-step explanation:

hich graph shows Point P as (–5,6) and Point Q as (3,–4)?

Answer:

Yes

Step-by-step explanation:

Answer:

y = 2x + -3

Step-by-step explanation:

Use the equation y=mx+b

m is the slope (2 in this case)

b is the y intercept (-3 in this case)

The equation of the line would be y = 2x + -3

Answer: c

Step-by-step explanation:

Answer: C

Step-by-step explanation: