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3 years ago

Please help i need this answer by the 10th :(

Mathematics

1 answer:

Igoryamba3 years ago

4 0

Step-by-step explanation:

a) (X+4) +(2x+2)+x=180°(Angle sum property)

x+4+2x+2+x =180°

6+4x =180°

4x =180°-6

x=174÷4

x=43.5°

b) mABC = x°

mABC =43.5°

c)ABC+ABD =180°(Linear pair Axiom)

43.5°+ABD =180°

ABD =180°-43.5°

ABD =136.5°

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

PLEASE HELPO 25 POINTS

Grace [21]

Answer:

an = 1/2 (n) (n+1)

Step-by-step explanation:

1,3,6,10,.........

3-1=2

6-3=3

Each term is different so there is no common difference. It is not an arithmetic sequence

3/1=3

6/3 =2

Each term is different so there is no common ratio. It is not a geometric sequence

1 3 6 10

+2 +3 +4

a1 = 1

a2 = 3

a3 = 6 = 2*3

a4 = 10 = 2*5

6 0

3 years ago

If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)

sweet-ann [11.9K]

Answer:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

Step-by-step explanation:

Given

$tan\theta = 3$

Required

Find

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$

Calculate $tan(\theta + \pi) \ and\ tan(\theta+2\pi)$

Using tan rule

$tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}$

So:

$tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + \pi) = \frac{tan\theta}{1 }$

$tan(\theta + \pi) = \tan\theta$

$tan(\theta+2\pi)$

$tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}$

$tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + 2\pi) = \tan\theta$ '

'So:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$ $= tan\theta +tan\theta +tan\theta$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

4 0

3 years ago

Which equation matches the function shown in the graph?

borishaifa [10]

Answer:

its c ! just took the test :)

5 0

3 years ago

What expression is equivalent to 4x(3+y)

Sholpan [36]

Answer:

12x+4xy

Step-by-step explanation:

4x(3+y)

12x+4xy

You distribute the 4x in the parenthesis

7 0

3 years ago