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
nadezda [96]
3 years ago
5

Two triangles have the same heights. One triangle has a base length that is twice the base length of the other triangle. Are the

base lengths and the areas of the two triangles proportional?
Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

The formula for area of a triangle is A = (1/2)bh,

For the first triangle we can leave it in general terms, so it's area is

A = (1/2)bh, depending on what b and h are, but it doesn't matter here...

The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

A = (1/2)(2b)h,   which simplifies to

   A = bh

Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

You might be interested in
Match the values associated with this data set to their correct descriptions
nordsb [41]
Put the numbers in order
6,7,15,36,41,43,47,49

Q1 = (7 + 15) / 2 = 22/2 = 11 <== first quartile
Q2 = (36 + 41) / 2 = 77/2 = 38.5 <== median
Q3 = (43 + 47) / 2 = 90/2 = 45 <== third quartile

difference of largest value and median.....(49 - 38.5) = 10.5
5 0
4 years ago
Read 2 more answers
A motorist travelled 300 km
stealth61 [152]

Answer:

Step-by-step explanation:

Total distance /total time=total speed

600÷60=10hrs

300÷75=4hrs

I0-4=6

V=300÷6=50km/h

7 0
3 years ago
Buses to exeter leave a bus station every 20 minutes.Buses to Plymouth leave the bus station every 16 minutes A bus to exeter an
Eva8 [605]
9:20 am
Lcm is 80 so 80 minutes after 8 am is 9:20
6 0
3 years ago
Does 5n = -20 have one solution,infinitley many,or no solutions?​
Maslowich
One solution.

-20 divided by 5 is equal to -4. Unless both sides have the same number or one side has -=0 then it’s one solution
8 0
3 years ago
Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take
Ipatiy [6.2K]

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B |  91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

             (b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

A)

r = 0.974

B)

Critical Values for the Correlation Coefficient

n       alpha = .05          alpha = .01

4           0.95                       0.99

5           0.878                     0.959

6           0.811                       0.917

7           0.754                      0.875

8           0.707                      0.834

9           0.666                      0.798

10          0.632                      0.765

11           0.602                      0.735

12          0.576                       0.708

13          0.553                       0.684

14           0.532                       0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

6 0
3 years ago
Other questions:
  • In one particular suburb, there are 12 families that own a bulldog. If there are a total
    12·1 answer
  • What is the exact area of a circle having radius 8 in.?
    6·1 answer
  • Please help me write a 2 column proof AB parallel to DC ; BC parallel to AE prove BC/EA = BD/EB
    15·1 answer
  • A rectangle shed is fenced with 120ft long barbed wire. If length of the shed is twice as long as the width, that is the length?
    9·1 answer
  • Evaluate for a = 2<br><br> 5a + 6 = _____
    8·2 answers
  • Brainteaser (answer as fast as possible)<br> (But, pretty easy)<br> 0 divided by 1,000,000,000
    6·2 answers
  • Ms. Bustamante collected data on how many years other teachers at school have been teaching. She collected the following data: 1
    7·2 answers
  • Burke Middle School has an $80 budget to stock the concession stand with drinks at the spring play. Each drink costs the school
    7·2 answers
  • What is 5-2(4a+1)+3a=13
    13·2 answers
  • Hi anybody tell me the answers
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!