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2 years ago

What theorem can Abdul use to determine the two triangles are similar?

Mathematics

1 answer:

yarga [219]2 years ago

8 0

First picture:

Triangle ABC and triangle MNO are similar when they have equal size of angles

Second picture:

The length of two sides that make the angle y are enlarged by the same scale factor, k.

Third picture:

All sides of one triangle are the enlargement of the other triangle by scale factor of k

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Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year

vlabodo [156]

Answer:

x + 5 = (x + 5) - 5, which has no solution ⇒ answer C

Step-by-step explanation:

* Lets study the situation in the problem

- Jessica is 5 years older than her sister Jenna

- After five years Jenna's age will be as old as Jessica was five years ago

- Jenna's age now is x

* Lets change all information above to equation

∵ Janna's age now is x

∵ Jessica is 5 years old than Janna

∴ The age of Jessica now is x + 5

- After 5 years Janna's age will be add by 5 years

∵ Her age now is x

∴ Her age after 5 years will be x + 5

- From 5 years ago Jessica's age was her age now mins 5 years

∵ Her age now is x + 5

∴ Her age from 5 years ago is (x + 5) - 5

∵ Janna's age after 5 years = Jessica age from 5 years ago

∴ x + 5 = (x + 5) - 5

- Lets solve the equation to know how many solution

∵ x + 5 = x + 5 - 5 ⇒ add the like terms

∴ x + 5 = x ⇒ subtract x from both sides

∴ 5 = 0

- But 5 ≠ 0, the two sides of the equation not equal each other

∴ There is no solution for this equation

* The equation is x + 5 = (x + 5) - 5, which has no solution

8 0

3 years ago

Read 2 more answers

5. Find the lateral surface area of the net of the cube. 1.8 cm

igor_vitrenko [27]

Given:

Given that the side length of the cube is 1.8 cm

We need to determine the lateral surface area of the cube.

Lateral surface area of the cube:

The lateral surface area of the cube can be determined using the formula,

$LSA=4a^2$

where a is the side length.

Substituting a = 1.8 in the above formula, we get;

$LSA=4(1.8)^2$

Squaring the term, we get;

$LSA=4(3.24)$

Multiplying, we get;

$LSA=12.96$

Thus, the lateral surface area of the cube is 12.96 cm²

6 0

3 years ago

How many solutions do these have?? PLEASE HELP!!

expeople1 [14]

Answer:

1 - NONE

2 - INFINITE SOLUTIONS

3 - NONE

Step-by-step explanation:

4 0

3 years ago

Sarah is saving to buy a new phone. She needs $150, and she has already saved $63. Write an equation to model this situation. Le

goblinko [34]

Answer: 150-x=63$

Step-by-step explanation:

to solve most missing number equations using addition or subtraction its usually pretty simple

1. figure out the first number. the first number is usually the goal amount. so 150

2. were do i put x? in an equation 150-63 would equal the amount she needs. so when you subtract x from 150 you'd get 63. you already know the goal number 150 goes first and the equation equals 63 so x is going to be whats subtracted from 150

3. put it all together 150(goal)-x(unknown number)=63(the amount she already had)

4.solve 150-87=63

5.check your work 150-63=87

7 0

2 years ago

How many solutions does this equation have? 6b = 3b + 3b is there a solution

sineoko [7]

Answer:

Yes

The answer is 1

Step-by-step explanation:

3 0

3 years ago