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AveGali [126]
3 years ago
14

Angles that are congruent and supplementary must be

Mathematics
2 answers:
Lilit [14]3 years ago
8 0
I think straight angles ?
ExtremeBDS [4]3 years ago
3 0

Answer: d. right angles.

Step-by-step explanation:

  • If the sum of two angles is 180^{\circ}, then they are called as supplementary angles.
  • If two angles are equal then they are said to be congruent.

Let a and b be two angles which are congruent and supplementary

Then a=b [congruent]

And a+b=180^{\circ}

2a=180^{\circ}\\\Rightarrow a=90^{\circ}

Hence, the angles  that are congruent and supplementary must be right angles.

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Which graph shows a line with the same y intercept as the graph of 10x - 16y = 40
Amanda [17]

Answer:

The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.

Step-by-step explanation:

The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.

However, the answer can still be explained here.

We can figure out how the graph would look like.

First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.

Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.

Rewrite the equation in slope-intercept form.

10x - 16y = 40

-16y = -10x + 40

y = -10x/-16 + 40/-16

y = ⅝x - ⁵/2

Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.

✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.

4 0
3 years ago
Help, with solving rational equations! I am no good at it :( Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over
mamaluj [8]
If this is your equation: \frac{2}{5} + \frac{3}{5x} = \frac{x+5}{10}
Solution:
LCD for 5 and 5x is 5x
\frac{x}{x} ( \frac{2}{5} )+ \frac{3}{5x} = \frac{x+5}{10}
\frac{2x}{5x} + \frac{3}{5x} = \frac{x+5}{10}
\frac{2x+3}{5x} = \frac{x+5}{10}
10(2x+3)=5x(x+5) ←cross product
20x + 30 = 5x² + 25x  ←simplify with distributive property
0 = 5x² + 5x - 30 ←use inverse operations to collect all terms on one side
0 = x² + x - 6  ←if possible divide by numerical GCF (This case 5)
0 = (x + 3)(x - 2) ←Factor
x = -3 or x = 2
Please check by substitution in original equation... Both work
4 0
3 years ago
Write an inequality to model the situation. a number exceeds 9.
sveta [45]
n > 9 would be the answer

4 0
2 years ago
Read 2 more answers
Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width
viva [34]

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

In the scale drawing of Joe, the community pool has (length : width) = 8 : 3

Let the actual length of the pool is 8x meters and the actual width is 3x meters.

Now, given that the actual pool has a perimeter of 77 meters.

So, 2(8x + 3x) = 77

⇒ 22x = 77

⇒ x = 3.5

So, the length of the pool is 8x = 8(3.5) = 28 meters and the width of the pool is 3x = 3(3.5) = 10.5 meters. (Answer)

8 0
2 years ago
1) 12 <br><br> 2) 10<br><br> 3) 8<br><br> 4) 6
Svetlanka [38]
The answer to this question has to be 8
4 0
2 years ago
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