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erica [24]
3 years ago
15

Find the measures of the interior angles of the triangle.

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

x = 88

The measurement of the other unknown angle is = 44°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

48 + x + x - 44 = 180 add like terms

4 + 2x = 180 subtract 4 from both sides

2x = 176 divide both sides by 2

x = 88

Now to find the measure of two other angles we replace x with 88

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Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.
pashok25 [27]
When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.

In our case we assume a is not smaller than 7, that is we assume a≥7.

a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:

3a+7≥28,

which is a contradiction because 3a+7 is smaller than 28.

So our assumption is wrong, which means the opposite of it is correct.


Answer: assume a≥7
7 0
3 years ago
The points plotted below are on the graph of a polynomial. Some of the roots to this polynomial are integers. Which of the follo
Vikki [24]
The only root is -2.  The roots are where the function goes through the x-axis.  This polynomial goes through in lots of places, but the only answer that matches is -2
8 0
3 years ago
What value would be placed in the space shown to create a perfect square trinomial?
charle [14.2K]

Answer:

1st option 9/4

Step-by-step explanation:  Searched up the problem on brainly and this was the answer. Hope that helps

3 0
2 years ago
Use a table of values with at least 5 values to graph the following function:
34kurt

The given expression :

y=(\frac{1}{2})^x

For coordinates:

put x = 0 then :

\begin{gathered} y=(\frac{1}{2})^0 \\ y=1 \end{gathered}

Coordinate : (x, y) = (0, 1)

Put x= 1 and simplify :

\begin{gathered} y=(\frac{1}{2})^1 \\ y=\frac{1}{2} \\ y=0.5 \end{gathered}

Coordinate : (x, y) = ( 1, 0.5)

Put x = (-2) and simplify :

\begin{gathered} y=(\frac{1}{2})^{-2} \\ y=\frac{1^{-2}}{2^{-2}} \\ y=\frac{2^2}{1^2} \\ y=2^2 \\ y=4 \end{gathered}

Coordinate : (x, y) = ( -2, 4)

Put x = (-3) and simplify :

\begin{gathered} y=(\frac{1}{2})^{-3} \\ y=\frac{1^{-3}}{2^{-3}} \\ y=\frac{2^3}{1^3} \\ y=2^3 \\ y=8 \end{gathered}

Coordinate : (x, y) = (-3, 8)

Substitute x = (-1) and simplify :

\begin{gathered} y=(\frac{1}{2})^x \\ y=(\frac{1}{2})^{-1} \\ y=\frac{1^{-1}}{2^{-1}} \\ y=\frac{2}{1} \\ y=2 \end{gathered}

Coordinate : (x, y) = ( -1, 2)

So, the coordinates are :

The graph is :

4 0
1 year ago
Find the value of x.
polet [3.4K]

Answer:

x = 20

Step-by-step explanation:

7x° + (x + 20)° = 180° (linear pair)

Solve for x

7x + x + 20 = 180

Add like terms

8x + 20 = 180

8x + 20 - 20 = 180 - 20

8x = 160

8x/8 = 160/8

x = 20

7 0
2 years ago
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