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
sineoko [7]
3 years ago
12

the two shorter sides of a triangle are the same length. the length of the longer side is 5 m longer than each of the shorter si

des. the perimeter of the triangle is 29 m. what is the length of the longest side of the triangle? a. 8 m b. 12 m c. 13 m d. 17 m
Mathematics
2 answers:
Finger [1]3 years ago
7 0
The length of the longer side of the triangle is c. 13 m

STatiana [176]3 years ago
4 0
Let the length of the shorter sides be x, then
Perimeter = x + x + x + 5
29 = 3x + 5
3x = 29 - 5 = 24
x = 24/3 = 8

Therefore, the length of longest side is 8 + 5 = 13 m.
You might be interested in
A teacher polled only the 8th grade students in English classrooms on what their favorite color is. She found that the favorite
amid [387]

Answer:

This is a biased sample.

Step-by-step explanation:

This is because she gave a random sample, but the she had the convenience of the students being with her when she surveyed. So it'e not actually random. She could also worded the survey or gave a biased response.

4 0
3 years ago
Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

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

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
2 years ago
00:00
Valentin [98]
I’m 99% sure it’s D because you would add both those numbers to equal his debt that day
3 0
3 years ago
Can someone please help me
erica [24]

Answer:

A=120

B=165

C=240

Step-by-step explanation:

5 0
2 years ago
Which of the following points is in the solution set of y &gt; -x2 + 5?
Stella [2.4K]
Its the third option (2, 4)
7 0
2 years ago
Read 2 more answers
Other questions:
  • There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possibl
    7·1 answer
  • Suppose that 2% of cereal boxes contain a prize and the other 98% contain the message, "sorry, try again." consider the random v
    6·1 answer
  • What would be the root of (x^2 + 2)?
    6·1 answer
  • A bench in the shape of a parallelogram has a base of 25 inches and a height of 40 inches. What is the area of the bench? *
    7·1 answer
  • Sequence: 2, 6, 10, ... What are the next two numbers in the sequence?
    5·2 answers
  • A fast food restaurant offers eight different sandwiches, two kinds of French fries, three types of salad, three different desse
    13·1 answer
  • 75 rounded to the nerist ten
    10·1 answer
  • 20 points help. The points (0,2)and (3,8)fall on a particular line. What is its equation in slope-intercept
    13·1 answer
  • find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first​
    10·1 answer
  • Need Help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!