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3 years ago

Identify the postulate or theorem that proves the triangles congruent.

Mathematics

1 answer:

monitta3 years ago

4 0

Answer:

ASA

Step-by-step explanation:

Angle (marked on the triangles)

Side(marked on the triangles)

Angle(Vertical angles are congruent)

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Write a description of -5a + 3 > 1 inequality

Andrej [43]

The sum of -5a and 3 is greater than 1

6 0

2 years ago

Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?

yuradex [85]

The mother is older than her daughter by $\frac{3}{4}m$ years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

Put the age of mother equal 4 times the age of daughter
Find the age of daughter
Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ $\frac{1}{4}m$ = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - $\frac{1}{4}m$

- Change 1 m to a fraction of denominator 4, then 1 m = $\frac{4}{4}m$

∴ The difference between their ages = $\frac{4}{4}m$ - $\frac{1}{4}m$ = $\frac{3}{4}m$

∴ The mother is older than her daughter by $\frac{3}{4}m$ years

The mother is older than her daughter by $\frac{3}{4}m$ years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

5 0

3 years ago

One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Whi

madreJ [45]

Answer:

The Transformations are R(O , -90°) & R(O , 270)

Step-by-step explanation:

* Lets revise the rotation of a point

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

(270° anti-clockwise or -90°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise (-180°) or

anti-clockwise (180°) around the origin

* Lets solve the problem

∵ One vertex of a triangle is located at (0, 5) on a coordinate grid

∵ The image of the point after the transformation is (5 , 0)

- The coordinates are switched with each other

∴ There is no rotation with 180° or -180° because in the rotation with

180° and -180° around the origin we change only the signs of the

coordinates without switch them

∴ There is a rotation with 90° are 270° or -90°

- The zero has no sign

- When we rotate the point (0 , 5) by -90° or 270° around the origin

we will change the sign of x-coordinate and switch the two

coordinates

∴ The image of the point is (y , -x)

∵ x = 0 and y = 5

- There is no sign for zero, so we switch the coordinates only

∴ The vertex is located at (5, 0)

∴ The Transformations are R(O , -90°) & R(O , 270)

3 0

3 years ago

Read 2 more answers

What’s is the answer

Rzqust [24]

Answer:

383.5

Step-by-step explanation:

3835 ÷ 10 = 383.5

Move the 5 to the Tenths

4 0

3 years ago

Read 2 more answers

(5-3i)+(4+2i) what is the solution ?

Vaselesa [24]

Answer:

−14+22i

Step-by-step explanation

yourwelcome

7 0

3 years ago

Read 2 more answers