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
Natalija [7]
3 years ago
14

Triangle FGH is similar to triangle DEF. solve for p

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

p = 16

Step-by-step explanation:

Given that ∆FGH is similar to ∆DEF, it follows that the ratio of their corresponding side lengths would be equal. Therefore:

\frac{FH}{DF} = \frac{FG}{DE}

FH = 12

DF = p

FG = 24

DE = 32

Plug in the values

\frac{12}{p} = \frac{24}{32}

Cross multiply

12*32 = 24*p

384 = 24p

Divide both sides by 24

\frac{384}{24} = \frac{24p}{24}

16 = p

p = 16

You might be interested in
Which expression is equivalent to √4j^4/9k^8?
solmaris [256]
\frac{ 2j^{2} }{ 3^{4} }
SQRT each individual bit: 4 andj^{4} and 9 and k^{8}
6 0
3 years ago
Read 2 more answers
A spring is attatched at one end to support B and at the other end to collar A, as represented in the figure. Collar A slides al
m_a_m_a [10]

Step-by-step explanation:

cos θ = 3 / AB

When θ = 28°:

cos 28° = 3 / AB

AB = 3 / cos 28°

AB ≈ 3.4

When AB = 5.2:

cos θ = 3 / 5.2

θ = cos⁻¹(3 / 5.2)

θ ≈ 54.8°

3 0
3 years ago
jayden lost 12 pounds in 3 weeks after that his lost rate was half if he lost a total of 84 pounds how many weeks did it take
Marina CMI [18]

Answer:

Jalen lost 12 pounds in the first 3 weeks

12/3=4 per week

than the weight loss slowed by half, meaning he lost 6 pounds in 3 weeks

6/3=2 per week

84-12=72 to loose after 3 weeks

72/2=36 weeks

to loose 84 pounds you need 3+36=39 week

pls mark me as brainlist

7 0
3 years ago
The volume of a sphere is 113.04 cubic feet. Find the radius. Use 3.14 for pi.
avanturin [10]
Volume is 4/3(3.14)(r)^2
the radius is 5.2 ft
4 0
2 years ago
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
zheka24 [161]

Answer:

$301 - $397

Step-by-step explanation:

Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 349 , standard deviation = 24.

Confidence interval = 95%

Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

= 349 - 2(24)

= 349 - 48

= 301

μ + 2σ

349 + 2(24)

= 349 + 48

= 397

Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.

8 0
3 years ago
Other questions:
  • 67/63 as a mixed number
    9·1 answer
  • Simplify i to the 37th power<br> A-1<br> B- -1<br> C- -i<br> D- i
    8·1 answer
  • One of the main reasons why individuals make investments based on their future
    6·1 answer
  • Pls help me with this, please thank you!!
    7·1 answer
  • radio signals travel at a rate of 3 x 10^8 meters per second. how many seconds will it take for a radio signal to travel from a
    8·1 answer
  • HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • Write 0.24 as a fraction in simplest form
    15·1 answer
  • Match each system of equations with its number of solutions
    8·2 answers
  • PLEASE HELP ME!!!!!!! Find the volume of the shape below. 4m 10m 4m 3m
    7·1 answer
  • Please help me<br><br> no random links pls
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!