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
lisabon 2012 [21]
4 years ago
8

What is the value of x? Enter your answer in the box. x = A triangle with midsegment parallel to the base. the left side is labe

led 40 c m below the midsegment and 5 c m above the midsegment. the right side is labeled 2 x + 10 c m below the midsegment and 3 c m above the midsegment.

Mathematics
2 answers:
Nastasia [14]4 years ago
7 0

Answer: 7


Step-by-step explanation:


Viefleur [7K]4 years ago
6 0

Answer: The value of x is 7 cm.

Step-by-step explanation:

Let ABC is a triangle with mid -segment  DE parallel to the base BC.

the left side is labeled 40 cm below the mid -segment

i.e. BD = 40 cm

the left side is labeled 5 cm above the mid -segment

i.e. AD = 5 cm

Similarly,

The right side is labeled 2 x + 10 cm below the mid -segment

i.e. EC = 2x+10

The right side is labeled 3 cm above the mid -segment

i.e. AE = 3 cm

So, By Basic proportionality theorem,

The ratio of the other two sides is equal.

\frac{AD}{DB}=\frac{AE}{EC}\\\\\frac{5}{40}=\frac{3}{2x+10}\\\\\frac{1}{8}=\frac{3}{2x+10}\\\\2x+10=24\\\\2x=24-10\\\\2x=14\\\\x=\frac{14}{2}\\\\x=7 cm

Hence, the value of x is 7 cm.

You might be interested in
If the ratio of the areas of two similar polygons is 32:50, what is the ratio of the corresponding side lengths?
Nonamiya [84]

Answer:

64;100

Step-by-step explanation:

5 0
3 years ago
What is the measure of JM?
Ray Of Light [21]

Answer:

10???

Step-by-step explanation:

8 0
3 years ago
F(x)=2x^2-x-6 g(x)=4-x (f+g)(x)
Semenov [28]

\large  \boxed{(f + g)(x) = f(x) + g(x)}

The property above is distribution property where we distribute x-term in the function.

Substitute both f(x) and g(x) in.

\large{ \begin{cases} f(x) = 2 {x}^{2}   -  x - 6 \\ g(x) =  4 - x \end{cases}}  \\  \large{f(x) + g(x) = (2 {x}^{2}  - x - 6) + (4 - x)} \\  \large{f(x) + g(x) = 2 {x}^{2}  - x - 6 + 4 - x}

Évaluate/Combine like terms.

\large{f(x)  + g(x) = 2 {x}^{2}  - 2x - 2}

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

\large{(f + g)(x) = 2 {x}^{2}  -2x -2}

<u>Alternative</u>

\large{(f + g)(x) = 2({x}^{2}  -x - 1)}

<u>Answer</u>

  • (f+g)(x) = 2x²-2x-2
  • (f+g)(x) = 2(x²-x-1)

Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

8 0
3 years ago
What is the unit rate of 50.4 feet in 14 years?
kvasek [131]
I believe the unit rate is 3.6 feet in 1 year. Hope this helps!! :) Need anything else just ask!
5 0
3 years ago
Work out the size of angle x
vfiekz [6]

Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

360 - 276 = 104

6 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!!<br> Everything is in the photo
    13·1 answer
  • If you buy six pens and one mechanical pencil, it will cost $9. If you buy four pens and two mechanical pencils, it will cost $8
    12·1 answer
  • Which ratios form a proportion? A. 9/45,8/40 B. 9/22,14/28 C. 8/12,12!15 D.8/12,12/21
    9·1 answer
  • What's the distance ?
    9·1 answer
  • A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base
    9·2 answers
  • If f(x) = 2x + 1 and<br> g(x) = -(x - 1)² + 3 what is the smallest solution for f(x)=g(x)?
    10·1 answer
  • A is Plotted on a coordinate grid at (-3 1/2,2) Choose the right grid that best shows the location of the point​
    5·1 answer
  • Question: Simplify (3 1/7)^7
    7·2 answers
  • PLEASE HELP I HAVE NO IDEA WHAT TO DO
    9·1 answer
  • This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberr
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!