<span>We cannot deduce about the exact location of P between J and K. But we can conclude: segment JP + segment PK = line JK.
</span><span>JP + PK = JK.
</span><span>Substitute first each.
(8z - 17) + (5z + 37) = 17z - 4
Combine like terms.
13z + 20 = 17z - 4
Isolate the variable z.
4z = 24
z = 6
The value of the variable z is then 6 units.</span>
Answer:
Yes!
The rate can be expressed by the ratio 3:1
For every 3 bottles, its $1
For every 6 bottles, its $2
For every 12 bottles its $4
and for every 18 bottles its $6
The juice's are equivalent because the ratio of number to bottles to dollars is equal.
Step-by-step explanation:
The vertex angle is defined as the angle opposite the base. It can be calculated by formula, 180° - 2B = A where, B=base angle and A=vertex angle.
The two sides of an isosceles triangle are congruent, which means they are the same length. The third side of an isosceles triangle is larger than the other two and is known as the base.
Every triangle has three angles that add up to a total of 180°. The base angles are the two angles located along the base of isosceles triangles. In isosceles triangles, the base angles are always congruent, or equal.
The vertex angle is defined as the angle opposite the base. The vertex angle is always greater than the sum of the two base angles. The vertex angle is always calculated by subtracting the base angles from 180°, using the general formula: 180° - 2B = A, where B represents the base angle and A represents the vertex angle.
Thus, vertex angle is defined as the angle opposite the base.
To learn more about isosceles triangle refer here
brainly.com/question/18933031
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Answer:
310.8m²
Step-by-step explanation:
<u>GIVEN :-</u>
- Diameter = 9m ⇒ Radius (r) = 9/2 = 4.5m
- Slant height (l) = 13m
<u>TO FIND :-</u>
- Surface area of the whole figure.
<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>
- Curved surface area of cone =
(where r = radius & l = slant height) - Curved surface area of hemisphere =
(where r = radius)
<u>PROCEDURE :-</u>
In the figure , the cone is mounted on a hemisphere.
⇒ Radius of cone = Radius of hemisphere = 4.5m
Total surface area of the figure = Curved surface area of both cone & hemisphere.
⇒
- Curved surface area of cone =
≈ 183.7m²
- Curved surface area of hemisphere =
≈ 127.1m²
∴ Total surface area = 183.7 + 127.1 = 310.8m²
F = 5a - 8
g = 2f + 25
so the expression for number of counties in Georgia is :
2(5a - 8) + 25 or if u need it broken down more, it is : 10a + 9