1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
1 year ago
13

Umm I have been stuck in this question could u help me out I sent a pic

Mathematics
1 answer:
valentina_108 [34]1 year ago
8 0

First, to make both triangles congruent, we should have that angle P equals angle L, so we have the following:

\begin{gathered} \measuredangle P=\measuredangle L \\ \measuredangle P=9x-18 \\ \measuredangle L=4x-17 \\ \Rightarrow9x-18=4x+17 \end{gathered}

Solving for x we get:

\begin{gathered} 9x-18=4x+17 \\ \Rightarrow9x-4x=17+18 \\ \Rightarrow5x=35 \\ \Rightarrow x=\frac{35}{5}=7 \\ x=7 \end{gathered}

You might be interested in
A total of $5000 is invested: part at 9% and the remainder at 14%. How much is invested at each rate if the annual interest is $
IceJOKER [234]

9514 1404 393

Answer:

  • $200 at 14%
  • $4800 at 9%

Step-by-step explanation:

Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...

  (14%)x +(9%)(5000 -x) = 460

  0.05x +450 = 460 . . . . . . . . . . simplify

  0.05x = 10 . . . . . . . . . . . . . . subtract 450

  x = 200 . . . . . . . . . . . . . . divide by 0.05

  5000-x = 5000-200 = 4800

$200 was invested at 14%; $4800 was invested at 9%.

7 0
3 years ago
What is the LCM of 42 an 70
nexus9112 [7]
42 is 6•7
70 is 7•10
So the LCM would be 7
4 0
3 years ago
Read 2 more answers
I NEED HELP ASAP! WILL NAME YOU BRAINIEST!
Molodets [167]

Answer:

1. y = 2(3)ˣ; 2. y = 10(4)^x

4. Amber = 192 and 3 145 728; Ben has 54 and 11 098; Carter = 80 and 10 249 shares;

5. Shifted up 45 shares; 6. Amber's; 7. Fewer friends. more shares.

Step-by-step explanation:

The general equation for an exponential function is

y = a(b)ˣ

1. Ben's function

The initial value a = 2.

6 = 2(b)¹ = 2b

b = 3

Ben's function is  

y = 2(3)^x

2. Carter's function

Carter shared his post with 10 friends on Day 0, so  a= 10.  

Each friend shared with 2 people each day, so b = 2.

Therefore, Carter's function is

y=10(2)ˣ

3. Graphs

\begin{array}{cccc}& \textbf{Amber} &\textbf{Ben}  & \textbf{Carter}\\\mathbf{x} & \mathbf{3(4)^{x}} &\mathbf{2(3)^{x}} & \mathbf{10(2)^{x}}\\0 & 3 & 2 & 10\\1 & 12 & 6 & 20\\2 & 48 & 18 & 40\\3 & 192 & 54 & 80\\\end{array}

The figure below shows the graphs for each function.

4. Predictions

(a) Amber

(i) Day 3

y = 3(4)³  = 3 × 64 = 192

(ii) Day 10

y = 3(4)¹⁰  = 3 × 1 048 576 = 3 145 728

(b) Ben

(i) Day 3

y = 2(3)³  = 2 × 27 = 54

(ii) Day 10

y = 2(3)¹⁰  = 2 × 29 049 = 118 098

(c) Carter

(i) Day 3

y = 10(2)³  = 10 × 8 = 80

(ii) Day 10

y =10(2)¹⁰  = 10 × 1024 = 10 240

5. Sharing with assisted living facility

y = 3(4)ˣ + 45

The new graph will be shifted up by 45 units.

6. Fastest post

Amber's post travels the fastest.

After only two days, she already has more posts than anyone else.

By Day 10, she has more than 25 times the shares of her closest competitor.

7. Preference

It's not the number of friends you have, but the number of shares they make, that is the important factor.

Carter started with 10 friends, but they made only two shares.

Amber started with only three friends, but they made four shares. By Day 3, she had 192 shared compared to 82 for Carter and only 54 for Ben

If I had to choose, I would prefer a post with fewer friends initially but more shares, like Amber.

4 0
4 years ago
Read 2 more answers
What is the answer to 1over 20
OverLord2011 [107]
1 over 20, represented by 1/20, is equal to 0.05, or 5 percent.

Hope this helps!

6 0
4 years ago
Read 2 more answers
You used 6 3/4 cups of sugar while baking muffins and nut bread for a class party. You used a total of 1 1/2 cups of sugar for t
Gemiola [76]

Answer:

Step-by-step explanation:

1. Convert to decimals.

6\frac{3}{4} = 6.75 cups of sugar - Total Sugar

1\frac{1}{2} = 1.50 cups of sugar - Muffin Sugar

1\frac{3}{4} = 1.75 cups of sugar - Nutbread sugar

2. Subtract muffin sugar from total sugar

6.75 cups total sugar  -  1.50 cups fir muffins = 5.25 cups remaining

3. Divide remaining sugar by amount used per loaf nutbread

5.25 cups sugar / 1.75 cups for each loaf nutbread = 3

3 Loaves of nutbread were made.

4 0
3 years ago
Read 2 more answers
Other questions:
  • If 2+root3/2-root/3 + 2-root3/2+root3 =a+b root3 find the values of a and b
    7·1 answer
  • What is the greatest common factor of 34 and 58
    13·2 answers
  • What is the answer to 1-r=-5
    6·1 answer
  • Marco has a jug with 37 1/2 ounces of juice. He wants to use some small cups to pass out samples of the juice Each cup holds 2 1
    8·2 answers
  • Write the equation of a line that is perpendicular to the given line and that passes through the given point.
    10·1 answer
  • Find the area of the shaded triangle.
    14·1 answer
  • Cual es la expresion decimal de - 18/3
    13·1 answer
  • Please help me solve this problem
    13·1 answer
  • What is (-i)^6 ? Please don’t guess. Thanks
    8·2 answers
  • A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muf
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!