Question 1:
the two sides are both 21 making this an isoceles triangle. In an isoceles triangle not only are two sides the same, but the bottom two angles are as well.
We know a triangle has 180°. We know the top Angle is 38° and the bottom two are the same.
we can setup an equation like this
2x + 38 = 180.
Subtract 38: 2x = 142
Divide by 2: x = 71
question 2:
the hash marks on the two sides mean they are the same length. So we are dealing with an isoceles triangle again.
Since the bottom two angles are the same, we know Angle B is also 47°.
Knowing that 180° are in a triangle, and the two 47° angles make up 94°, we know the top Angle is 86°.
The two curve lines at the top represent that those angles are the same. since we know that whole top Angle is 86, we divide that by two.
86 / 2 = 43. so y = 43°
to find x, we once again know 180° in a triangle. so take the 47° from the corner and the 43° from the top to find x.
47 + 43 + x = 180
Subtract 47 & 43: x = 90
<span>During the distribution of bonbons to her grandchildren, Grandma Claudia realized that if she distributed 11
chocolates for each of them, 10 candies would remain. In the meantime, distribute 13 chocolates
each of his grandchildren, would lack 6.
Based on this information, it is CORRECT to state that the difference between the number of candies
and the number of grandchildren is
A) 90.
B) 30.
C) -90.
D) -30.
Let n=number of candies,
and c=number of grandchildren
The story expressed in modulo gives the two following equations:
then
mod(n,11)=10 (ten left if each given 11).............(1)
mod(n,13)=-6, or
mod(n,13)=7 (7 left if each given 13)
By enumerating (1), we have
10,21,32,43,54,65,76,87,98,109...
=> 8*11+10=98
By enumerating (2), we have
7,20,33,46,59,72,85,98,101...
=> 8*13-6=98
Hence there are 8 grandchildren and 98 candies.
The difference of the number of candies and the number of grandchildren is therefore 98-8=90.
Another way to get the number of grandchildren is
c=(10-(-6))/(13-11)=8
</span>
These are my answers: 4410, 8010, and 1080. They are all divisible by 5 and 9.
I hope you find my answer the most helpful :)
35,000 X .02 = 700, so 2% of 35,000 is 700. With that, the population would be 35,700.
It’s A and B because multiplying the grouping numbers does not change the product. (4x6) x7 = 168 and 4 x (6x7) also equal to 168. Same thing as B but the number just change order.