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
uysha [10]
2 years ago
11

Determine whether the triangles are similar. or not.

Mathematics
1 answer:
galina1969 [7]2 years ago
7 0

Answer:

A. similar, AA

Step-by-step explanation:

Angles F and H are given as congruent in the figure.

From the figure, we see that angles EGF and JGH are congruent since they are vertical angles.

We have two angles of one trianfgle congruent to two angles of the other triangle.

The triangles are similar by AA Similarity.

Answer: A. similar, AA

You might be interested in
The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of
vladimir2022 [97]
A^2+b^2= 15^2

b=a-3

Use substitution
a^2+(a-3)^2= 225
a^2+a^2-6a+9=225
2a^2-6a=-216
2a^2-6a+216=0

2(a^2-3a+108)
2(a-12)(a+9)

(a-12)=0
a=12
(a+9)=0
a=-9
A is -9 or 12, but since an object can't have a negative length or width, a must be 12.

Plug this value of a in.
b=(12)-3
b=9

Final answer: Length=9, width=12
8 0
3 years ago
Read 2 more answers
Noah ran around the track two times. How far did he run in feet? Round your answer to the nearest whole number.
AfilCa [17]

Answer:

237 feet

Step-by-step explanation:

take the circumference (5), square it, and multiply it by pi. Then add 40 for the distance of the two sides. Multiply your answer by two to find the distance for twice around

8 0
3 years ago
Which graph represents the function f(x)=0.2x+3?
g100num [7]

Answer:

The top right

Step-by-step explanation:

The y intercept is = 0.2^(0) + 3 = 1+3 = 4

Now let considered some point

Let x = 3

0.2^(3) + 3 = 3.008

Let x = 10000

0.2^(10000) + 3 = 3.00032

As we can see, it approaching 3 so the top right is correct

3 0
3 years ago
Which statement is not true about the data shown by the box-and-whisker plot below?
Tom [10]

Answer: The data point 25 lies in the first quartile of the date

Step-by-step explanation: The data point 25 is not in the data set.

7 0
3 years ago
An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i
Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = \sqrt{(15-x)^2+1^2}

The total time, 't', is given as follows;

t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}

The minimum value of 't' is found by differentiating with an online tool, as follows;

\dfrac{dt}{dx}  = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} =  \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }

At the maximum/minimum point, we have;

\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89

Therefore, the distance to run, x ≈ 14.96 mile

6 0
3 years ago
Other questions:
  • A right triangle ABC is shown below:
    9·1 answer
  • why woould you use the associative property of multiplication to solve (10×4) ×2? how would you you regroup the factors?
    11·1 answer
  • Given that c=82 b=2 and a=12 solve triangle ABC. Round the answer to the nearest hundredth.
    5·1 answer
  • PLEASE ANSWER ASAP WILL GOVE BRAINLYIEST
    13·1 answer
  • Barbara's piano instructors House is 7 1/8 miles from her house. After biking for 1 3/4 Miles she stops to rest how much longer
    5·1 answer
  • Can someone help and explain
    14·1 answer
  • Ms. Sampson recorded the percentage change in her students
    13·2 answers
  • Given Ĉ=(-4, 7) and d = (3, 2), find c+d.
    7·1 answer
  • The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
    14·1 answer
  • The pair of triangles below have
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!