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3 years ago

I need help with these two please and tysm

Mathematics

1 answer:

Serhud [2]3 years ago

5 0

Ok so for the first one:
-We know that the 4 angles add up to 360
-3 of the angles are given
-To find the fourth we simply subtract the sum of the 3 angles from 360.

Equation: 120+ 100+ 100 + x = 360
= 320+x= 360

Now by making x the subject
x= 360 - 320
= 40 degrees

The second one follows the same method

150+ 77+ 48+ x =360
275 +x = 360
x= 360-275
x= 85

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The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).

Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

$Vertices: (0,0)\ (1,0)\ (0,1)$

$Scale\ Factor = 3$

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

$New\ Vertex = Scale\ Factor * Old\ Vertex$

For (0,0):

$New\ Vertex = 3 * (0,0)$

$New\ Vertex = (3 * 0,3 * 0)$

$New\ Vertex = (0,0)$

For (1,0):

$New\ Vertex = 3 * (1,0)$

$New\ Vertex = (3 * 1,3 * 0)$

$New\ Vertex = (3,0)$

For (0,1):

$New\ Vertex = 3 * (0,1)$

$New\ Vertex = (3 * 0,3 * 1)$

$New\ Vertex = (0,3)$

Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle

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4 years ago

A crew of highway works paved 1/5 mile in 1/8 hour if they work at the same rate how much will they pave in one hour

Allushta [10]

Answer:

a 1.6 miles

Step-by-step explanation:

1/8 hour=7.5

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3 years ago

How do you graph y=3x and y=-x-8

laila [671]

Answer:

The points for the given two linear equation as

$x_1 , y_1$ = - 2 , - 6

$x_2 , y_2$ = - 2 , 6

The graph so plotted as shown

Step-by-step explanation:

Given as :

The two linear equation are

y = 3 x ........A and

y = - x - 8 .........B

Solving equation A and B

Now, Put The value of y from eq A into eq B

So, 3 x = - x - 8

Or, 3 x + x = - 8

Or, 4 x = - 8

∴ x = $\dfrac{-8}{4}$

I.e x = - 2

Now , Put the value of x into eq A

∵ y = 3 x

∴ y = 3 × (-2)

I.e y = - 6

Again, Put the value of x into eq B

∵ y = - x - 8

∴ y = - 2 - (-8)

I.e y = 6

So, for x = - 2 , y = - 6

And for x = - 2 , y = 6

Hence , The points for the given two linear equation as

$x_1 , y_1$ = - 2 , - 6

$x_2 , y_2$ = - 2 , 6

The graph so plotted as shown . Answer

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4 years ago

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4 years ago

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Andrej [43]

Answer:

807.8 in^2

Step-by-step explanation:

The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:

The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...

(18 in)(35.6 in) = 640.8 in^2

The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...

(9.6 in)(8.7 in) = 83.52 in^2

Then the total area is the lateral area plus the area of the two ends:

640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2

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3 years ago