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
marta [7]
3 years ago
11

Given: ∆ABC, AB = BC, m∠1<90°. Perimeter of ∆ABC = 25. Difference between two sides is 4. Find: AB, BC, AC. Can someone help

me !!!!
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

Answer:

AB = 7, BC = 7 and AC = 11

Step-by-step explanation:

Let AB = BC = a and CA = b

Now, given that the perimeter of the triangle is 25.

So, 2a + b = 25 ............ (1)

And 4 is the difference between the two unequal sides.

Hence, b - a = 4 .............. (2)  

⇒ 2b - 2a = 8 ........... (3)

Now, solving equations (1) and (3) we get, 3b = 25 + 8 = 33

⇒ b = 11

Hence, from equation (2) we get a = b - 4 = 7

Therefore, AB = 7, BC = 7 and AC = 11 (Answer)

You might be interested in
Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Lisa [10]

Answer:

The third exterior angle is 103^o

Step-by-step explanation:

Given

\theta = 158^o

\alpha = 99^o

Required

The third exterior angle (\beta)

The exterior angles of a triangle add up to 360 degrees.

So:

\theta + \alpha + \beta = 360^o

Make \beta the subject

\beta = 360^o - (\theta + \alpha)

Substitute known values

\beta = 360^o - (158^o + 99^o)

\beta = 103^o

4 0
3 years ago
An isosceles triangle has legs that measure 10 feet. If the height of the triangle is 7 feet, find the length of its base
irinina [24]

Answer:

14.2 feet

Step-by-step explanation:

I rounded off to 1 decimal place

8 0
3 years ago
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
siniylev [52]

Answer:

the value of x=33

the measure of each base angle = 42 ,69,69

Step-by-step explanation:

Bases od isosceles triangles are congruent,so

2(2x+3)=4x+6 (This is the sum ob both anlgles base)

All angles in a triangle add to 180

4x+6 + 42 = 180

4x = 132

x=33

2(33)+3= 69

69+69+42 = 180

5 0
3 years ago
Read 2 more answers
shi x, miao w, and tchetgen tchetgen ej. (2020). multiply robust causal inference with double negative control adjustment for ca
fomenos

Reliable causal inference based on observational studies is seriously threatened by unmeasured confounding.

What is unmeasured cofounding?

  • By definition, an unmeasured confounder is a variable that is connected to both the exposed and the result and could explain the apparent observed link.
  • The validity of interpretation in observational studies is threatened by unmeasured confounding. The use of negative control group to reduce unmeasured confounding has grown in acceptance and popularity in recent years.

Although they've been utilised mostly for bias detection, negative controls have a long history in laboratory sciences and epidemiology of ruling out non-causal causes. A pair of negative control exposure and outcome variables can be utilised to non-parametrically determine the average treatment effect (ATE) from observational data that is vulnerable to uncontrolled confounding, according to a recent study by Miao and colleagues.

Reliable causal inference based on observational studies is seriously threatened by unmeasured confounding.

Learn more about unmeasured confounding here:

brainly.com/question/10863424

#SPJ4

5 0
1 year ago
You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In
alexandr1967 [171]
C.  $360


$224x4=896 (total profit)

$896 (total) - $536 (first month profit) = $360 (second month profit)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Below is the graph of a trigonometric function. It has a minimum point at \left(-5.4,1.25\right)(−5.4,1.25)left parenthesis, min
    9·1 answer
  • Please help picture attached/
    7·1 answer
  • Is each expression algebraic or numerical<br> a. 7/2 <br> b. 4m + 6 <br> c. 2(5 - 4)
    10·1 answer
  • Given that 110ₓ = 40₅ , find the value of x.
    10·2 answers
  • Somebody help me please????????
    10·1 answer
  • What’s 44/24 As a mixed number
    8·2 answers
  • What is the area of an equilateral triangle with each side as 2 inches?
    8·2 answers
  • Help me its easy lol
    11·1 answer
  • Given a term in an arithmetic sequence and the common difference, find the first five terms
    6·1 answer
  • Plz ans this question quick ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!