Step-by-step explanation:
To divide exponents, you just have to subtract the exponents from eachother, x^8/x^3, 8 - 3 = 5, so it is x^5
When the pentagon is drawn to scale then its value of x will be x=3.3 cm
<h3>What is the pentagon?</h3>
The pentagon is defined as the shape having five sides connected together.
Now it is given in the question that
For small pentagone
Bottom =x
left =7 cm
For larger pentagone
Bottom=7cm
left=15cm
Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.
For smaller pentagon
For bigger pentagon
Since both, the ratio is the same
Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm
To know more about Pentagone follow
brainly.com/question/4804571
Answer:
We use Newton's second law of motion, which states that,
F
=
m
a
where:
F
is the net force applied in newtons
m
is the mass of the object in kilograms
a
is the acceleration of the object in meters per second squared
So, we get:
F
=
5
kg
⋅
10
m/s
2
=
50
N
(
∵
1
N
≡
1
kg m/s
2
)
Step-by-step explanation:
Answer: 47/6
Step-by-step explanation:
-2 1/3 - (-10 1/6)
= -7/3 + 10 1/6
= -7/3 + 61/6
= 47/6
Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z =
Simplify,
z =
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95