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
melamori03 [73]
3 years ago
13

What is the value of y? Enter your answer in the box. B (5x)° A (2 y+20)° C 40°​

Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0

Answer:

y = 40°

Step-by-step explanation:

The triangle in the picture is an isosceles triangle because of the markings on the side (they show that two sides are congruent).

An isosceles triangle not only have a pair of congruent sides, but also have a pair of congruent angles.

So,

5x = 40

Solve for x,

x = 40 ÷ 5

x = 8

5x = 40

5(8) = 40

40 = 40

Now we know the two angles. We then find the last angle containing y.

We know that the total angle measurement of the triangle is 180°.

Set up the equation,

40 + 40 + 2y + 20 = 180

Solve for y,

80 + 2y + 20 = 180

100 + 2y = 180

2y = 180 - 100

2y = 80

y = 80 ÷ 2

y = 40°

You might be interested in
a businesswoman sells a bag for $52.32, thereby making a profit of 9% on the cost of her. calculate the selling price the busine
Veronika [31]

Answer: $57.6

Step-by-step explanation:

Given : A businesswoman sells a bag for $52.32.

Let cuurent selling price : SP = $52.32

As they are making 9% profit now.

That means SP= Cp +0.09 CP , where Cp is the cost price of bag.

i..e 52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}

\Rightarrow\ 52.32=Cp(1.09)\Rightarrow\ CP=\dfrac{52.32}{1.09}=48

i..e Cost price of bag = 48

Selling price to gain 20% profit = Cp+0.20CP

= CP(1+0.20)

=48 (1.20)

= 57.6

Hence, the  selling price the businesswoman should ask in order to make 20% profit​ = $57.6

8 0
3 years ago
Solve for the missing angle with the question mark
mash [69]

Answer:

it's 60

Step-by-step explanation:

I have done that before

4 0
3 years ago
7 - 3 = -x + 1 <br><br> Solve for X.
Sati [7]
7-3=-x+1
4=-x+1 substract 1
-1 -1
4-1=-x
3=-x multiply by -1
•(-1) •(-1)
-3=x
x=-3
5 0
3 years ago
Read 2 more answers
6. Find the sum or difference<br> 1/3(9 - 6m) + 1/4 (12m-8)
romanna [79]

Answer:

m+1

Step-by-step explanation:

1/3(9 - 6m) + 1/4 (12m-8)

Distribute

1/3 *9  - 1/3 *6m  + 1/4 * 12m - 1/4 *8

3 -2m + 3m -2

Combine like terms

-2m+3m +3-2

m+1

6 0
3 years ago
Given: LN⊥KM,KL≅ML Prove: ΔKLN≅ΔMLN
miss Akunina [59]

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

LN⊥KM,

KL≅ML

To Prove:

ΔKLN≅ΔMLN

Proof:

In  Δ KLN and Δ MLN

KL ≅ ML     ....……….{Given i.e Hypotenuse }

LN ≅ LN     …………..{Reflexive Property}

∠ LNK ≅ ∠ LNM  ……….{ LN ⊥ KM i.e Measure of each angle is 90° given}

Δ KLN ≅ Δ MLN     ….{By Hypotenuse Leg Theorem} ....Proved

6 0
3 years ago
Other questions:
  • Jack practices his trumpet every 3days. he goes for a run every 4 days. if he did both today, in how many more days will he prac
    15·1 answer
  • The government will give each state the same amount of social security numbers. There are
    6·1 answer
  • PLEASE SOMEONE EXPLAIN WHAT I DO!!! I DONT UNDERSTAND!
    7·1 answer
  • A local college offers scholarships to students who graduate in the top 1% of their high school classes according to GPA. If a h
    13·1 answer
  • A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km
    12·1 answer
  • PLEASEEE HELPPO :))!!
    9·1 answer
  • Anybody Know This. ?
    10·2 answers
  • What is the mathematical representation of joules law of heating ?​
    5·1 answer
  • Find the circumference of the given circle
    13·1 answer
  • Both equations in a system of linear equations have a slope of 1/2. Does this system have infinitely many solutions? Explain. pl
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!