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olga55 [171]
3 years ago
11

Determine if ΔABC and ΔFHG are similar. If so, write the similarity statement.

Mathematics
2 answers:
Feliz [49]3 years ago
8 0

Answer:

\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}

Step-by-step explanation:

The two triangles are similar.

The corresponding sides are proportional.

AB ∼ FH

\displaystyle \frac{72}{12} =6

AC ∼ FG

\displaystyle \frac{48}{8} =6

BC ∼ GH

\displaystyle \frac{84}{14} =6

Brrunno [24]3 years ago
5 0
6:1 they are similar
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The low temperature last week in Iceland was-2.25. The low temperature this week was 1.25. What was the change in temperature fr
viktelen [127]

Answer:

The change in temperature from last week to this week=3.5

Step-by-step explanation:

To get the change in temperature from last week to this week, we need to take last week's temperature and subtract it from this week's temperature.

For example;

Change in temperature=This week's temperature-last week's temperature

where;

This week's temperature=-2.25

last week's temperature=1.25

replacing;

Change in temperature=(1.25)-(-2.25)=1.25+2.25=3.5

The change in temperature from last week to this week=3.5

6 0
4 years ago
In need of geometry help, once again my stupid brain cant remember anything.
melomori [17]

You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.

The diagram shows that:

  • Side AB = Side XY (sides with one tick mark)
  • Side BC = Side YZ (sides with double tickmarks)
  • Angle C = Angle Z (similar angle markers)

We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.

---------------

So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.

3 0
3 years ago
A recent survey found that 70% of all adults over 50 wear
lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 10, p = 0.7

What is the probability that at least six wear glasses?

P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497

There is an 84.97% probability that at least six wear glasses.

5 0
3 years ago
Find the surface area of the prism.
Elanso [62]

Answer:    26

Step-by-step explanation:

I would say 26 because you multiplying 3 and 4 and then add whatever number you get for 8 and 5.

3 0
2 years ago
A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole. The pole is 48 ft tall. W
Irina-Kira [14]

Answer:

73 feet.

Step-by-step explanation:

Given:

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.

The pole is 48 ft tall.

Question asked:

What is the length of the rope?

Solution:

Here we found that a right angle triangle is formed in which base and height is given <u>as shown in the figure, </u>we have to find the longest side of the triangle,

Base = 55 feet

Height = 48 feet

Length of the rope = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

               (Longest\  side)^{2} =  55^{2} +48^{2}

                (Longest\  side)^{2} =  3025+2304

               (Longest\  side)^{2} =  5329

                 Taking root both side

            \sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}

                Longest\  side =  73

Thus, length of the rope is 73 feet.

                                     

Download docx
5 0
3 years ago
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