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
kow [346]
3 years ago
10

Lorie correctly determines that for the triangles below, the statement pg and the statement both describe the relationship betwe

en the two triangles.
Which best describes why both similarity statements are correct?
Each triangle has two congruent angles: and m.
Each triangle has two similar angles: and .
The triangles each have two given angle measures and one unknown angle measure.
All statements, regardless of the order of the vertices, define the same triangles

Mathematics
2 answers:
Tasya [4]3 years ago
7 0

Answer:

The correct option is 1.

Step-by-step explanation:

Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.

In triangle MNO and triangle RTS.

\angle M\cong\angle R=54.4^{\circ}          (Given)

\angle N\cong\angle T=71.2^{\circ}            (Given)

According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.

\angle O\cong\angle S=54.4^{\circ}

Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.

The triangle are congruent by AA rule of similarity. Each triangle has two congruent angles, therefore both triangles are similar. Option 1 is correct.

DanielleElmas [232]3 years ago
4 0

Answer:

A

Step-by-step explanation:

You might be interested in
What is the answer to question b and d
kogti [31]

Answer:

Step-by-step explanation:

a) -3

b) 5

c) -2

d) -6

8 0
3 years ago
Read 2 more answers
What expression is equivalent to the expression (4x+12) + 7x?
pochemuha

Answer:

11x + 12

Step-by-step explanation:

( 4x + 12 ) + 7x

Remove parentheses.

= 4x + 12 + 7x

Group like terms.

= 4x + 7x + 12

Add similar elements: 4x + 7x = 11x

= 11x + 12

8 0
3 years ago
Read 2 more answers
Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
exis [7]

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

a = 27.5 minutes

5 0
3 years ago
How do i solve divide 5/8 by 50%
Ede4ka [16]
50% is \frac{50}{100}
We have two ways to do this, pick your favor:
either by fractions:
\frac{5}{8} ÷ \frac{1}{2}
(\frac{50}{100} =  \frac{1}{2}
Multiply by the reciprocal of \frac{1}{2} which is 2(flip it)

\frac{5}{8} × 2 = \frac{5}{4} = 1.25

Or change them to decimals:
\frac{5}{8} = 0.625
\frac{50}{100} = 0.5

0.625 ÷ 0.5

0.5 I 0.625
multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
0.625 × 10 = 6.25
     1.25
5 I 6.25
    -5
     12
    -10
       25
      -25
         0

0.625 ÷ 0.5 = 1.25

7 0
2 years ago
If four lamps cost $120.00 what is the average cost per lamp?20.0025.0030.0035.0040.00
yanalaym [24]
The cost of 1 lamp is $30
4 0
3 years ago
Other questions:
  • What is (x,y) (2x,2y)
    9·1 answer
  • Carlos has a fair die and a number cube. He will flip the fair die one time and roll the number cube one time. What is the proba
    13·1 answer
  • If you spun the spinner 1 time, what is the probability it would land on a white piece?
    15·1 answer
  • How many triangles can be constructed with angles measuring 25º, 25º, and 130º? A. one B.none C.more than one
    13·2 answers
  • Please help me with this problem aspa
    9·1 answer
  • June bought ​ 3 1/2 ​ gallons of white paint at $17.50 per gallon and ​ 1 3/4 gallons of blue paint at $19.00 per gallon. What w
    15·2 answers
  • Find the value of x. Round your answer to the nearest tenth.<br> Help please!
    5·1 answer
  • Equation:
    8·1 answer
  • Find the domain and range of the function
    11·2 answers
  • One day, the weather report shows that boston is experiencing a temperature of -27 degrees, while london is experiencing a tempe
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!