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
Nastasia [14]
3 years ago
5

Two similar triangles have a scale factor of 2 : 3. For numbers 7a – 7d, determine whether each statement about the triangles is

true or false.
7a. The ratio of their perimeters is 2 : 3. True or False
7b. The ratio of their areas is 4 : 6. True or False
7c. Their perimeters could be 14 cm and 21 cm. True or False
7d. Two corresponding sides could be 6 in and 7 in. True or False
Mathematics
2 answers:
grigory [225]3 years ago
7 0

Answer:

Step-by-step explanation:

7a. perimeter=3 sides added so the ratio is the same

The ratio of their perimeters is 2 : 3.

True

7b. area= sidexside so the ratio is 2x2:3x3 = 4:9

The ratio of their areas is 4 : 6.

False

7c. 14:21 =2:3

Their perimeters could be 14 cm and 21 cm.

True

7d. 6:7 <> 2:3

Two corresponding sides could be 6 in and 7 in.

False

postnew [5]3 years ago
6 0

Answer:

Step-by-step explanation:

Two similar triangles have a scale factor of 2 : 3.

7a. The ratio of their perimeters is 2 : 3.

As the sides are 2 : 3, the perimeters which are sums of all sides will also be 2 : 3

True

7b. The ratio of their areas is 4 : 6. True or False

As the sides are 2 : 3, the areas which are the products of two sides will be in the ratio of 2*2 : 3*3 = 4 : 9

False

7c. Their perimeters could be 14 cm and 21 cm. True or False

As the perimeter ratio for 14cm and 21 cm is 14 : 21 = 2 : 3 which complies with 7a. So they could be the perimeters.

True

7d. Two corresponding sides could be 6 in and 7 in. True or False

As the corresponding sides of 6in and 7in, the ratio is 6 : 7 and is different from 2 : 3.  So they cannot be corresponding sides.

False

You might be interested in
In a test of the effectiveness of garlic for lowering​ cholesterol, 8181 subjects were treated with raw garlic. Cholesterol leve
xz_007 [3.2K]

Answer:

With garlic​ treatment, the mean change in LDL cholesterol is not greater than 0.

Step-by-step explanation:

The dependent <em>t</em>-test (also known as the paired <em>t</em>-test or paired samples <em>t</em>-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired <em>t</em>-test is used to determine the effectiveness of garlic for lowering​ cholesterol.

A random sample of 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: With garlic​ treatment, the mean change in LDL cholesterol is not greater than 0, i.e. <em>d</em> ≤ 0.

<em>Hₐ</em>: With garlic​ treatment, the mean change in LDL cholesterol is greater than 0, i.e. <em>d</em> > 0.

The information provided is:

\bar d=0.40\\SD_{d}=16.2\\\alpha =0.01

Compute the test statistic value as follows:

t=\frac{\bar d}{SD_{d}/\sqrt{n}}\\\\=\frac{0.40}{16.2/\sqrt{81}}\\\\=0.22

The test statistic value is 0.22.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value of the test as follows:

p-value=P(t_{n-1}>0.22)\\=P(t_{80}>0.22)\\=0.4132

*Use a <em>t</em>-table.

The <em>p</em>-value of the test is 0.4132.

<em>p-</em>value= 0.4132 > <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, it can be concluded that with garlic​ treatment, the mean change in LDL cholesterol is not greater than 0.

3 0
3 years ago
Asap! find the length of the arc
Fantom [35]

<u>Answer</u>:

A.  \frac{21}{4} \pi\ \space\ in

<u>Step-by-step explanation:</u>

The formula for arc length is:

arc length = rθ

where:

r is the radius = 7 in

θ is the central angle in radians = 135  ×  \frac{ \space\ \pi\ }{180}  = 3/4 π

Substituting these values into the formula:
arc length = 7 in × 3/4 π

                 = \frac{21}{4} \pi\ \space\ in

                             

6 0
2 years ago
Which expressions ere equivalent to x+x+x+2​
Andrei [34K]

3x + 2

since x + x + x is 3x.

Or you can be creative

(6x+4)/2

im just trying to hit the 20 chac minimum.

3 0
3 years ago
Read 2 more answers
What is 33 in prime factorization​
VMariaS [17]

Answer:

1 x 33 or 11 x 3.

4 0
3 years ago
NEED HELP FAST PLEASE!
ratelena [41]
(0, -3)(2, -2)
slope = (-2 + 3)/(2-0) = 1/2

b = -3
equation
y = 1/2x - 3

answer is A
<span>y = 1/2x - 3</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges’
    11·2 answers
  • Find the distance between (8,6) and (4,1). Round the answer to the nearest tenth.
    7·1 answer
  • If 0.5 percent of the students at a university of 5,000 people are majoring in biochemistry, how many biochemistry students are
    8·1 answer
  • Find a missing numerators in each of the following problems. a. 10/15 = /60 b. /180 = 4 / 9 c. 7/11 = /121 d. /144 = 2/6
    13·1 answer
  • Jason's boat can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour ?
    13·2 answers
  • Which correlation coefficient could represent the relationship in the scatterplot?
    9·1 answer
  • X ≥ 84 how do i do this explain please.
    13·1 answer
  • Find the distance between the two points rounding to the nearest tenth (if necessary).
    6·2 answers
  • HELP PLS PLS PLS PLS PLS
    9·1 answer
  • Is it more difficult to walk up the ramp or the hill? Show all steps and explain.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!