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
Shtirlitz [24]
3 years ago
8

Given ∠ABE = 45° and ∠EAB = 63° in ΔABE and∠MNP= 72° and ∠NMP = 63° in ΔMNP. Are the two triangles, ΔABE and ΔMNP similar? If so

, by what criterion?
A) yes, by AA criterion
B) yes, by SAS criterion
C) yes, by SSA criterion
D) no, not possible to tell.
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
A.) Yes, by AA criterion.

Triangle ABE have these angles: 
∠ABE = 45° ; ∠EAB = 63° ; missing ∠ is 72°

Triangle MNP have these angles:
∠MNP = 72° ; ∠NMP = 63°; missing ∠ is 45°

AA criterion is "angle,angle" criterion. It means that the two triangles have at least two of their angles equal. Since a triangle have a total of 180°, when two of their angles are equal, the 3rd angle is also equal.

As you can see, both triangles have 45°, 63°, and 72° measurement of angles. Thus, they are similar.
You might be interested in
If measure 4 is 36 degrees what is the measure of angle 2
elena55 [62]
Acute angle between 0 and 90 degrees I think
7 0
2 years ago
4 drivers/ 30 square miles is they want to offer service to country of 75 square miles, how many must they have
dmitriy555 [2]
By proportion:-

4 / 30 = x / 75  where x is number needed for  the '75' country

30x = 300

x = 10


They need 10 drivers.
3 0
3 years ago
1)Circle 1 is centered at (−4, 5)(−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1)(2, 1) and has a radiu
galina1969 [7]

Figures of same shape and size are similar .Two circles  C1&C2 will be similar.

Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y  is having a translation of y-4.The center of the circle is dilated by 3 units.

The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.

2) Area of sector = \pi.r^{2}\alpha÷360.

Where α is the angle made at center.

Area of given sector= π(12)(12)(60)÷360 =24π.

8 0
2 years ago
The ordered pair of (-3,0) is a solution of which system
makkiz [27]

expression

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:   2+2=4


8 0
3 years ago
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
3 years ago
Other questions:
  • Layla is saving up money for a trip. She already has $650 saved and plans to save an additional $150 each month for the trip. 
    11·1 answer
  • I need help I’m confused
    6·1 answer
  • What is 15/20 reduced
    15·2 answers
  • The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
    15·2 answers
  • In a city, taxicab fare is 80 cents for the first 1/4 mile and 20 for additional 1/4 mile. How far can you travel for $5.00?
    5·1 answer
  • PLEASE HELPP!!! :C I NEED ANSWERS! I need the answers for the reason section please!
    14·1 answer
  • Answer now pleaseee
    7·2 answers
  • Is 70thounsand written in standard form or word form?explain
    12·1 answer
  • HELP ME
    15·1 answer
  • Pls help, due soon!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!