Gavin is 5 years older than David. Bridget is 4 years younger than David. If the total of their ages is 61, how old is the youngest of them?

The triangle is an isosceles right triangle, and the true statements about the triangle are

The given parameters are:

Angle = 90 degrees

Two side lengths = 5 cm

Given that one of the angles is 90 degrees, then it means that the triangle is a right triangle.

Also since two sides are equal, then the triangle is an isosceles triangle, and the other angles are 45 degrees each

Hence, the true statements about the triangle are (a), (c) and (e)

Read more about isosceles right triangles at:

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Answer:

y = 7x

y = $133

Step-by-step explanation:

x = independent variable

y = dependent variable

y = 7x

Where,

y = total amount saved

x = number of weeks

7 = constant

When x = 19

y = 7x

y = 7 * 19

y = 133

y = $133

Answer:

#1: Alternet Exterior

#2: Corresponding

#3:Same Side Interior

#4:Alternate Interior

Step-by-step explanation:

(The Blue box in the image represent the inside/interior)

Hopefully the image helps!

Answer:

Nuts.com sells almonds for money even though we can get them from walmart.

Step-by-step explanation:

who names their website Nuts.com

Answer:

Step-by-step explanation:

x + y = 7 + 2/8 = 58/8

x - y = 2 + 4/8 = 20/8

Add the equations together

2x = 78/8

x = 39/8

y = x - 20/8 = 19/8

x = 39/8 = 4⅞

y = 19/8 = 2⅜

Answer:

one solution;

x=-2.5

y=-1

Answer:

$362.64

Step-by-step explanation:

Assuming that "S" represents the money in U.S. dollars, we are given the starting amount as 270 pounds.

We first need to convert the pounds into euros, since £1 = €1.11

So all we have to do is £270 × €1.11 = €299.70

Then, we need to convert euros into dollars, since €1 = $1.21

So all we have to do here is €299.70 × $1.21 = $362.637

Which rounds to $362.64

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2

[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0

[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2

[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4

[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6

Range: { 2, 0, - 2, - 4, - 6 }

Answer:Sep 7, 2011 — (a) For x = 1 the left-hand side is 4 and the right-hand side is 2. ... (e) The inequality is equivalent to n 2 n +4 2 0, i.e. n 2 2n 8 n +4 0, or 3n 10 ... (a) Cancel the factor 25ab. ... (d) Expanding the parentheses we get p ... The set of points that satisfy the inequality 3x + 4y 12 are those on or below the straight line

Step-by-step explanation:

Hope it helps

Answer:

Speed of sidekick : 600

Speed of superhero : 500

Step-by-step explanation:

x = sidekick speed

speed of hero = x-100

Time of hero = -36

1800/(x-100) = (1800/x) + 0.6

That equations solves to x = 600 and x = 500 or -500

The given difference in speed and the arrival time, as well as the

distance traveled, gives the speeds as 500 and 600 km/hr.

Response:

The given parameters are;

Superhero's speed = 1800 km

Speed of the superhero = Speed of the sidekick - 100 km/h

The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours

Required:

The speed of the superhero and the sidekick

Solution:

Let v represent the speed of the superhero, we have;

v × (t + 0.6) = (v + 100) × t

v·t + 0.6·v = v·t + 100·t = 1800

0.6·v = 100·t

[tex]t = \dfrac{0.6}{100} \cdot v[/tex]

Therefore;

0.006·v² + 0.6·v - 1800 = 0

Which gives;

v² + 100·v - 300,000 = 0

(v - 500)·(v + 600) = 0

v = 500, or v = -600

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Answer:

domain is always the x values and y values are the range of x.

It's option A

Answer:51

Step-by-step explanation:

Answer:

area = 120.7 cm²

Step-by-step explanation:

net area = area of rectangle - area of semi-circle

area = (19 x 7.5) - 1/2(3.14)(4.5²)  

area = 152.5 - 31.8 = 120.7 cm²

Answer:

The geometric mean of x=275 and y=11 is 55

Step-by-step explanation:

Answer: [tex]93.53\ cm^2[/tex]

Step-by-step explanation:

Given

The side of the hexagon is [tex]a=2\ cm[/tex]

If it enlarged with scale factor 3 i.e. each side is 3 times before

The new side of the hexagon is [tex]a'=3\times 2=6\ cm[/tex]

The area of the hexagon is

[tex]A=\dfrac{3\sqrt{3}}{2}a^2[/tex]

Putting values we get

[tex]\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 6^2\\\\\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 36=54\sqrt{3}\ cm^2\\\\\Rightarrow A=93.53\ cm^2[/tex]

Answer: 6 boards

Step-by-step explanation:  If you convert 2/3 into ninths by multiplying by 3/3 you will get 6/9.  You can then easily see that 6/9 has 6 individual 9ths or 6 boards to cut.

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

Answer:

9

Step-by-step explanation:

Answer:

[tex]x^{3}[/tex]

Step-by-step explanation:

in powers:

when there is x to the power of 6 to the power of 6 as an example you should multiply 6x6=36

so in this one try to do it like the one up there

6*[tex]\frac{1}{2}[/tex]=3 so it is [tex]x^{3}[/tex]

Answer:

A11 = 230.66015625

Step-by-step explanation:

hi!

the first thing that you have to do when solving for the 11th term in a geometric sequence is to find the common ratio!

I did this by dividing 6/4 = 3/2 (I did multiply this by 6 to test if it was correct, and it was)

the next thing you can do is use this formula:

An = A1*r^(n-1)

An = the nth term of the sequence

A1 = the first term in the sequence

r = common ratio

n = the number of term that you are solving for

A11 = 4*(3/2)^(11-1)

A11 = 4*(3/2)^10

A11 = 230.66015625

Answer:

24

Step-by-step explanation:

To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.

The result of the given equation  [tex](3x^2 - 2^x + 5) -(x^2 + 3x - 2)\\[/tex] is [tex]4x^4-10x^3 + 14x^2[/tex]

"Cubic polynomial is a type of polynomial based on the degree i.e. the highest exponent of the variable. Hence, a cubic polynomial is a polynomial with the highest power of the variable or degree is 3. A polynomial is an algebraic expression with variables and constants with exponents as whole numbers"

"The general form of a cubic polynomial is p(x): ax3 + bx2 + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers. An equation involving a cubic polynomial is called a cubic equation. "

The given equation is given as[tex](3x^2 - 2^x + 5) - (x^2 + 3^x - 2)[/tex]

Solving it ,we get [tex]2x^2 - 5x +7[/tex]

Now multiplying it by [tex]1/2x^2[/tex] gives us [tex]4x^4-10x^3 + 14x^2[/tex]

Hence the answer is [tex]4x^4-10x^3 + 14x^2[/tex]

To know more about cubic polynomial here

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#SPJ2

Answer:

1:15am

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

180-43=137

Answer:

180 - (43 + 56) = 81 (angle 1)

180 - 81 = 99 (angle 2)

180 - 56 = 124 (angle 3)

180 - 43 = 137 (angle 4)

Step-by-step explanation:

Answer:

m∠SBE = 26°,  [tex]m\hat O B[/tex] = 126°

Step-by-step explanation:

The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.

Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.

Also, the angle at the center is twice the angle at the circumference.

Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)

2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)

2 * m∠SBE = 52

m∠SBE = 26°

2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)

2 * 63 = central angle

central angle = 126°

Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)

Answer:

i think it is the most difficult one

Answer:

11 I think I'm not sure though