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
natima [27]
3 years ago
15

If ΔABC is similar to ΔDEF, the m∠A = 50°, and m∠E = 70°, what is m∠C?

Mathematics
2 answers:
siniylev [52]3 years ago
7 0

Answer: A) 60^{\circ}

Step-by-step explanation:

Given: ΔABC is similar to ΔDEF

Therefore,

∠A=∠D=50°

∠B=∠E=70°

∠C=∠F

Using Angle sum property, in triangle ABC, we get

\angle{A}+\angle{B}+\angle{C}=180^{\circ}\\\\\Rightarrow\ 50^{\circ}+70^{\circ}+\angle{C}=180^{\circ}\\\\\Rightarrow\ 120^{\circ}\angle{C}+=180^{\circ}\\\\\Rightarrow\ \angle{C}=180^{\circ}-120^{\circ}\\\\\Rightarrow\ \angle{C}=60^{\circ}

The angle sum property of a triangle says that, the sum of all the angles in a triangle is 180^{\circ}.

MAVERICK [17]3 years ago
6 0
Ok so if they are similar that means equal angles so 50+70=120 then 180-120=60 so the answer is A. <span>#TeamAlvaxic</span>
You might be interested in
If the perimeter of the regular decagon shown above is 136 1/4 inches, what is the length of each side?
victus00 [196]
<h3>Answer: Choice A. 13 & 5/8 inches</h3>

Ideally you should always post the diagram to help us see the entire problem; however, the diagram is not needed in this case because we are told the figure is regular decagon. So there are 10 sides and each side is the same length. If each side is x inches long, then the perimeter is 10x inches.

10x = 136 & 1/4

10x = 136 + 1/4

10x = 136 + 0.25

10x = 136.25

x = 136.25/10

x = 13.625

x = 13 + 0.625

x = 13 + 625/1000

x = 13 + 5/8

x = 13 & 5/8

7 0
3 years ago
I need help answering this question please!
iren [92.7K]
It is the graph of p is steeper than the graph of q.


7 0
3 years ago
State the equation of the following graphs.<br> Someone please help ASAP
Vaselesa [24]
Answer

y = 1(x +1) - 3

Explanation

A quadratic equation of the form y = ax^2 + bx + c

This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).

This results in y = a(x + p) + q

Where - p is the x value and q is the y value of turning point.

For graph 22, x = -1 and y = -3

Therefore, the equation is of the form

y = a(x + 1) - 3 (*)

We still need the value a, this can be obtained by using the y-intercept we are given.

We are told x = 0 when y = -2

Substitute this in (*) equation:

-2 = a(0+1) - 3

-2 = a - 3

a = 1

Therefore final equation is

y = 1(x +1) - 3

This should provide you with the train of thought of how the second question should also be tackled.

If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
4 0
3 years ago
A=1/2bh , solve for b
anygoal [31]
B= the base of the object
6 0
2 years ago
Read 2 more answers
(5x-3)^2 -60x=(5x-3)^2
V125BC [204]

Answer:

x = 0

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • 8x - 3(2x - 4) * - 9
    5·2 answers
  • Anyone know the answer?
    6·1 answer
  • What is f(x) when given the points (0,-5)?
    7·1 answer
  • Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
    12·1 answer
  • using the digits 4,9,7,1 and 5,create a division sentence with two digit divisor and greatest possible quotient
    13·1 answer
  • Its at the tip of my mind, but I just can’t solve it.
    10·1 answer
  • Which similarity statement is true?
    5·1 answer
  • 6. If y = 4 1/4 whenx = 3/4 find y when x=4 1/2​
    7·1 answer
  • Derek conducts a probability experiment for his mathematics class. he uses the ten cards shown below.
    5·2 answers
  • Chan Hee bought 9.8 pounds of coffee that cost $7.45 per pound. How much did he spend on coffee?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!