Answer:
a) 80
b) A - corresponding angles
Step-by-step explanation:
Angle EFG and angle ABF are corresponding angles.
Corresponding angles are on the same side of the transversal, where it cuts the two parallel lines, and they are equal.
Answer/Step-by-step explanation:
To find out the mistake of the student, let's find the min, max, median, Q1 and Q3, which make up the 5 important values that are represented in a box plot.
Given, {2, 3, 5, 6, 10, 14, 15},
Minimum value = 2
Median = middle data point = 6
Q1 = 3 (the middle value of the lower part of the data set before the median)
Q3 = 14 (middle value of the upper part of the data set after the median)
Maximum value = 15
If we examine the diagram the student created, you will observe that he plotted the median wrongly. The median, which is represented by the vertical line that divides the box, ought to be at 6 NOT 10.
See the attachment below for the correct box plot.
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
We know the slope intercept formula. Using the formula, we can find the slope.
- Formula: y = mx + b
- Given equation: y = 4x - 6
- m = Slope
- b = y-intercept
Now, let's compare both equations to find out what is the slope.
y = 4x - 6
<h3><u>Conclusion:</u></h3>
We can clearly see that m is replacing with 4. That basically means the slope is 4.
Hoped this helped.

Step-by-step explanation:
Look at the picture.
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Answer:
A option
Step-by-step explanation:
ΔMNO: ∠M=79°, ∠O=22°, then ∠N=180°-79°-22°=79°.
ΔGHK: ∠G=∠H=79°, then ∠K=180°-79°-79°=22°.
ΔPQR: ∠R=20°, ∠Q=79°, then ∠P=180°-79°-20°=81°.
ΔDEF: ∠E=82°, ∠F=22°, then ∠D=180°-82°-22°=76°.
Similar triangles have congruent angles, then
ΔMNO and ΔGHK are similar.