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2 years ago

Jasmine is 5 years younger than twice her sister's age. If the sum of jasmine and her sister's age is 61, how old are the girls?

Mathematics

1 answer:

sergejj [24]2 years ago

4 0

Answer:

jasmine is 39, her sister is 22

Step-by-step explanation:

let j be jasmine's age and s be her sister's age. we can set up these two formulas:

2s - 5 = j

j + s = 61

replace j in the second formula with 2s - 5:

2s - 5 + s = 61

simplify: 3s - 5 = 61

add 5 to each side: 3s = 66

divide each side by 3: s = 22

now replace s with 22 in the first formula:

2(22) - 5 = j

multiply: 44 - 5 = j

subtract: 39 = j

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You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu

aev [14]

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to $180^{o}$ .

Let the exterior angle be represented by $x^{o}$ , and the three interior angles of the triangle be represented by $a^{o}$ , $b^{o}$ and $c^{o}$ .

Assume that the vertex angle $c^{o}$ is the linear pair to the exterior angle $x^{o}$ .

i.e $x^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles on a straight line)

Thus,

i. $a^{o}$ + $b^{o}$ = $x^{o}$ (sum of two opposite interior angles is equal to an exterior angle)

⇒ $a^{o}$ = $x^{o}$ - $b^{o}$

Also,

$b^{o}$ = $x^{o}$ - $a^{o}$

But,

$a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

⇒ $c^{o}$ = $180^{o}$ - ( $a^{o}$ + $b^{o}$ )

and

$a^{o}$ + $b^{o}$ = $180^{o}$ - $c^{o}$

ii. $a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

$a^{o}$ = $180^{o}$ - ( $b^{o}$ + $c^{o}$ )

Also,

$a^{o}$ + $b^{o}$ = $x^{o}$

⇒ $b^{o}$ = $x^{o}$ - $a^{o}$

$c^{o}$ = $180^{o}$ - $x^{o}$

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2 years ago

HELP QUICKLY PLEASE

Alisiya [41]

645/560=1.151785714
Ther perccent error in her estimate is 15%

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2 years ago

Which statement explains the difference between a point and a vertex please fast

dlinn [17]

The difference between point and the vertx is that a vertex can be used to create different geometric shapes and a point is always part of the shape.

Step-by-step explanation:

Though Vertex and Point sound similar, they are different in many crude aspects. Vertex is defined as the meeting point of two sides, lines or any extended parts. The point, in turn, denotes the singular identity of a place.

Hence vertex can be used to draw any geometrical pattern. It can be done by extending or protruding the given body parts which would result in a new geometrical figure.

Points would constitute every part of that geometrical surface that we wish to identify.

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2 years ago

Read 2 more answers

Determine the equation of the line, written in slope-intercept form, that passes through the points (1,1)

nataly862011 [7]

Answer:

y=-1/2x+3/2

Step-by-step explanation:

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2 years ago

the surface area of the rectangular prism is given by formula S=2 (ab+bh+ah) find the value of h when a = 10, b=6 and s=440

lorasvet [3.4K]

Answer:

Step-by-step explanation:

440=2(60+6x+10x)

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160=16x

x=10

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2 years ago