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3 years ago

What is the measure of the exterior angle

Mathematics

1 answer:

Nataliya [291]3 years ago

3 0

Answer:

That exterior angle is equal to 87 degrees.

Step-by-step explanation:

In order to find the measure of the exterior angle, we start by trying to find x. We can do this by adding up the 3 interior angles and setting them equal to 180. The first angle is equal to 43. The second angle is equal to x + 15. The third angle is equal to 180 - 3x (which we know because the angle and 3x is equal to 180). So we set equal to 180.

43 + (x + 15) + (180 - 3x) = 180 ----> Combine like terms.

238 - 2x = 180 -----> Subtract 238

-2x = -58 ----> Divide by -2

x = 29

Now that we have the x value, we can plug into the exterior angle measure to get the value.

3x = 3(29) = 87 degrees

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Which piece wise function is graphed below

AlekseyPX

Answer:

Option A

Step-by-step explanation:

Here is how to approach the problem:

We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.

At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.

Now we have two choices left.

For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.

Vertext form is f(x) = a(x-h)^2 + k.

h being the x-coordinate of the vertex and k being the y-coordinate.

We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.

3 0

2 years ago

Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.

Hoochie [10]

Answer:

The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles

Step-by-step explanation:

In triangle ABD:

∠B = ∠D

Thus AB=AC by the property of opposite sides of equal angles are equal

In triangle CBD

∠B = ∠D

Thus CB=CD by the property of opposite sides of equal angles are equal

Thus all four sides of quadrilateral ABCD are equal

And diagonal BD bisects the angles

So, it is a rhombus

Therefore the correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles....

5 0

3 years ago

David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man

BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

$8x+10y= 574$ (i)

$x=y+2$ (ii)

Put value of x from (ii) in (i)

$8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18$

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0

2 years ago

Alana has a rectangular tapestry on her bedroom wall the tapestry has an area of 48 square feet and a width of 2 yards what is t

Bingel [31]

Answer: 8 feet

Step-by-step explanation:

Ok so first you turn 2 Yards into feet because the answers are all in feet by multiplying by 3/1 so it would look like this 2/1x3/1 which is 6 then you use proportion to get the 6 yards by it self so it would look like this 48/6 6/6 the you would get x= 8 feet to get 8 feet you dividied 48 by 6 hope this helps

8 0

2 years ago

No links, help ASAP with explanation

almond37 [142]

The answer to your question is G

7 0

2 years ago