Answer:
x = 50°
Step-by-step explanation:
Recall that for a triangle, the exterior angle is equal to the sum of its two remove interior angles (also see attached for reference).
in our case, the exterior angle is given as 105° and its two remote interior angles are x and 55°
therefore
105° = 55° + x
x = 105° - 55°
x = 50°
Answer:
27 children
Step-by-step explanation:
For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.
39 / 13 = 3
There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.
3 * 9 = 27
Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)
Answer:
option B. G
Step-by-step explanation:
Let
y ---->ounces of orange juice
x ---> ounces of pineapple juice
we know that
The ratio of orange juice to pineapple juice is equal to

substitute the given values

simplify

<u><em>Verify each graph</em></u>
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
we have

that means
5 ounces of orange juice per 3 ounces of pineapple juice
Graph F
The slope is

Graph G
The slope is

Graph H
The slope is

Graph J
The slope is

The value of 2 is the value closest to 1.67
therefore
The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G
Answer:
12 centimeters
Step-by-step explanation:
The triangle is half of an equilateral one. So the hypotenuse is double the minor leg
12 centimetres