Answer:
x=25°, y=10°
Step-by-step explanation:
∠A+∠B=180°
8y+10y=180°
18y=180°
y=10°
∠B+∠C=180°
10y+4x-20°=180°
10*10°+4x=180°+20° (y=10°)
100°+4x=200°
4x=200°-100°
4x=100°
x=25°
The image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.
First let's stae the the original location of the figure on the graph.
From the graph:
L (2, 1)
W(1, -3)
O (-1, -2)
A rotation of 180 degrees about the origin will change the x and y axis of each location to the opposite of those numbers;
Positive numbers becomes negative and negative numbers becomes positive.
The new location for L = L'
L' = (-2, -1)
The new location for W = W'
W' = (-1, 3)
The new location for O = O'
O' = (1, 2)
Hence, the image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.
Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.
Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

The z-score is:


Z = 1.41
Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

The z-score is:


Z = 0.75.
Hence Stewart caught the longer fish relative to the same specie.
More can be learned about the normal distribution at brainly.com/question/4079902
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Water that weighs 325 lbs will fill 5.2 cubic feet.
Step-by-step explanation:
This is a simple question of cross multiplication
<u>DATA:</u>
<em>1. The weight of water for 1 cubic feet is 62.5</em>
<em>2. The weight of water for 'X' cubic feet is 325 </em>
<em>3. To find x, form an equation:</em>
Cubic feet : Weight of water
1 : 62.5
X : 325
<em>4. Cross multiply</em>
X x 62.5 = 1 x 325
62.5X = 325
<em>5. Make X the subject</em>
X = 
<em>6. Solve to find X</em>
X = 5.2 cubic feet
Therefore, water that weighs 325 lbs will fill 5.2 cubic feet.
Key words: Conversion
Learn more about conversions at
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Answer:
it's B ;)
Step-by-step explanation:
A line segment has two endpoints; that is, it has a starting point and an ending point, much like a dead-end street. Bisector means to divide, not just in two, but in halves, or two equal parts. Therefore, a segment bisector is a point, a line, a ray, or a line segment that bisects another line segment.