Answer:
<h2>88 cars</h2><h2>132 trucks</h2>
Step-by-step explanation:
This is a ratio problem, the ratio of cars to trucks
for every 4 cars, there are 6 trucks
represented as a ratio we have 4:6
1. how many of them are cars
applying the part to whole strategy we have
4+6 = 10
let cars be x
2. how many of them are trucks?
let trucks be y
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
The answer is 101
100 squared is 10,000
Then form an equation
100u-100=10,000
+100 +100
100u=10,100
divide by 100 on both sides
and you get 101 as the answer
Answer:
shown below
Step-by-step explanation:
1. The pair of angles shown in your diagram are vertical angles. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. The pairs of vertical angles have the exact same measurement. Therefore, 5x and 100 must have the same degree measurement, or 100 degrees. Thus, 5x must equal 100, so 5x = 100, and x would be 20 degrees.
2. The diagram shows a right angle (90 degrees) formed by 3x degrees and 39 degrees. 3x and 39 are complementary, which means they add up to 90, not 180 (that's supplementary). Thus, 3x + 39 = 90, 3x = 51, and x = 17 degrees.
3. The diagram shows a 180-degree angle formed by 6x degrees and 2x + 8 degrees. This means that 6x + (2x+8) equals 180. 6x + 2x + 8 = 180 and 8x + 8 = 180, 8x = 172, and x = 21.5 degrees.
4. A angle's supplement is basically 180 - (angle measure), because you are finding the angle that when formed with the original angle creates a 180 degree angle. Thus, the supplement angle would be 180 - 47 which is 133 degrees.
5. The angles 115 and (5x-10) create a 180 degree angle, which means that 115 + (5x-10) = 180. Thus, x = 15.
