11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.
Make them equal to each other in an equation.
5x = x + 20
Subtract x from both sides.
4x = 20
Divide both sides by 4.
x = 5
12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:
x + x + 50 = 180
Combine like terms.
2x + 50 = 180
Subtract 50 from both sides.
2x = 130
Divide both sides by 2.
x = 65
Now make the base angle plus x equal 180, because they form a straight line.
65 + x = 180
Subtract 65 from both sides.
x = 115
13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.
x + x + 90 = 180
Combine like terms.
2x + 90 = 180
Subtract 90 from both sides.
2x = 90
Divide both sides by 2.
x = 45
If the outliers are not included, what is the mean of the data? 76,79,80,82,50,78,83,79,81,82.
natta225 [31]
50 is the only outlier so take 50 out of the set then add the other 9 data points and divide by 9.<span>
76 + 79 + 80 + 82 + 78 + 83 + 79 + 81 + 82 = 720 / 9 = 80</span>
Answer: $13.80 for 6 giant lollipops
Step-by-step explanation: To find the cost of 6 giant lollipops at the candy store, we first need to find the unit price for a giant lollipop.
Unit price means the cost per unit,
in this case, the cost per giant lollipop.
Since we know that it costs $16.10 for 7 giant lollipops, to find the cost
for 1 giant lollipop, we need to 16.10 by 7.
16.10 divided by 7 is 2.3.
This means that each lollipop is $2.30.
Now to find the cost for 6, we multiply
the cost per 1 lollipop by 6.
So we have 2.30 × 6 which is $13.80.
So the cost for 6 lollipops at the candy store is $13.80.
Answer:
There will be 128 holes
Step-by-step explanation:
Simply think of each fold as doubling the number of holes. So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes. Cheers.
Answer:
Yes
Step-by-step explanation:
This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.
