Answer:
x=33
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Step-by-step explanation:
Angles 7 and 8 are supplementary because they share a common vertex while laying on a line.
That is the measurement of angles 7 and 8 add up to be 180.
mAngle7+mAngle8=180
(2x+15) + (3x ) =180
2x+15 + 3x =180
Combine like terms:
5x+15 =180
Subtract 15 on both sides:
5x =180-15
Simplify right hand side:
5x = 165
Divide both sides by 5:
x =165/5
Simplify right hand side:
x =33
The measure of angle 7 is 2x+15=2(33)+15=66+15=81.
The measure of angle 8 is 3x=3(33)=99.
Recall vertical angles are congruent.
5 and 7 are vertical so the measure of angle 5 is 81.
6 and 8 are vertical so the measure of angle 6 is 99.
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Answer:
longitudinal
Step-by-step explanation:
Answer:
No, it does satisfy the Pythagorean Theorem
Step-by-step explanation:
In right triangle a² + b² = c²
Where a and b = legs and c = hypotenuse
The given measures of the legs are 3 and 7 and the given measure of the hypotenuse is √57
Which means that if this is a right triangle then 3² + 7² = √57²
3² = 9
7² = 49
√57² = 57
9 + 49 = 58
we're left with 57 ≠ 58 which is not true, meaning that , that is not a right triangle
Answer:
Step-by-step explanation:
Here we can see that the parent function is 
and the translated function is g(x). f(x) is a parabola.
Rule says that any factor if multiplied by f(x) is going to contract the graph towards the y axis and vice versa.
Similarly any factor if f(x) is divided by some factor it is going to be stretch the graph away from the y axis and vice versa.
Here we can see that the translated graph g(x) is stretched away from the y axis with reference to the parent function f(x). Hence as per he rule discussed above, we get a preliminary information that the parent function f(x) is being divided by some factor.
now we are given that
Where as
{as given in the graph}
Hence
at x=3 , f(x) = 9 and g(x) = 1 , and also we have discussed above that f(x) is divided by some factor. Hence 
The equivalent ratios of mammals to birds at the zoo are;
1) 32 to 28
3) 24 to 21
We are given the ratio of mammals to birds at the zoo as; 96 : 84
<h3>Equivalent Ratios</h3>
To get the possible equivalent ratios, we need to first of all list out all the factors of 96 and 84.
- Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 84: 1, 2, 3, 4, 6, 14, 21, 28, 42, 84.
Now, from the factors listed above, if we divide both 96 and 84 by 3, we will arrive at a ratio of;
32:28
Likewise,if we divide both by 4 we will get;
24:21
In conclusion, the only equivalent ratios are 32:28 and 24:21.
Read more about ratios at; brainly.com/question/2784798
