Answer:
There are 4 boys for every 6 girls (4 : 6 ratio)
Answer:
Step-by-step explanation:
If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.
If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118
Answer:
a. D and E are similar but not congruent.
Step-by-step explanation:
Let's analyse each statement and determine which is true about the 3 given quadrilaterals:
a. "D and E are similar but not congruent." TRUE.
D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.
D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.
b. "E and F are similar and congruent." NOT TRUE.
E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.
c. "D and E are similar and congruent." NOT TRUE.
Since statement (a) is TRUE, statement (c) cannot be true.
D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.
d. "F and D are similar but not congruent." NOT TRUE.
F and D has the same size but the ratio of their corresponding sides are not the same.
Answer:
4xy and 12x
Step-by-step explanation:
In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options
Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.
This makes 24 and 44y out of the way.
Now let’s look at 4xy and 12x. Let’s insert them into the blank space;
36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)
and 36x^3-22x^2-12x = 2x(18x^2-11x-6)
The reason why we will not use 44y and 24 is because 2x is not a factor of either.
