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3 years ago

Which of the following pairs of triangles are similar?

Mathematics

1 answer:

Ganezh [65]3 years ago

6 0

The second and the fourth

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Mr. Anders was three times as old as Kate 5 years ago. Their total age now is 42 years. How old is Kate now?

katrin [286]

We can write this as two equations. Call Mr. Anders' age A and Kate's age K:
$A-5=3(K-5)$
$A+K=42$

Then solve for A in the second equation:
$A=42-K$

Substitute this into the first equation:
$(42-K)-5=3(K-5)$
$-K+37=3K-15$
$52=4K$
$K=13$

6 0

3 years ago

Someone please help

OLEGan [10]

Answer:

e= -2

Step-by-step explanation:

1) distribute so you get 6+0.75e=2-1.25e

2) move the variable to one side so you get 6+2e=2

3) subtract the 6: 2e=-4

4) divide by 2: e= -2

4 0

3 years ago

The measure of the largest angle of a triangle is three times the measure of the smallest triangle and 2 more than the third ang

Zigmanuir [339]

Answer:

90 degrees, 60 degrees and 30 degrees

Step-by-step explanation:

90/3 = 30

30 x 2 = 60

6 0

3 years ago

For each of the solutions of the equations find two consecutive integers between which the solution is located.

adoni [48]

Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.

The equation given is:

$x^2 = 3$

The solution of the equation given is:

$x = \sqrt{3}$

The squares of the integers numbers until the square root of 3 are:

$1^2 = 1$

$2^2 = 4$

Since $1 < 3 < 4$ , the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.

A similar problem is given at brainly.com/question/3729492

4 0

2 years ago

Read 2 more answers

Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverp

Alekssandra [29.7K]

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96° = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

6 0

3 years ago

Read 2 more answers