Answer:
x=21, y= 35
Step-by-step explanation:
3x+7=5x-35
(subtract seven from -35)
3x=5x-42
(subtract 5 from 3)
-2x=-42
(-42/-2= positive number)
x=21
y+75=3y+5
(subtract 75 from 5)
y=3y-70
(subtract 3y from y)
-2y=-70
y=35
The formula to find the volume of a sphere is:
4π(r³/3)=V
The radius is half of the diameter.
24÷2=12
4π(12³/3)=V
12.5663706(576)=V
7238.22947=V
So, the volume of the sphere is 7,238.22947 units³.
Answer:
B. ∆LMN ≅ ∆OPQ because of ASA
Step-by-step explanation:
Two triangles are congruent if two angles and an included side of one triangle are congruent to two corresponding angles and a corresponding included side of the other.
From the information given, we have:
Two angles (<L and <M) in ∆LMN that are congruent to two corresponding angles (<O and <P) in ∆OPQ.
Also, included side in both triangles are congruent (ML ≅ PO).
Therefore, ∆LMN ≅ ∆OPQ by the ASA Theorem.
The transformation occurs from function g is a vertical translation 6 units down.
<h3>What is Transformation?</h3>
A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.
Given:
g(x) = 4x + 6
g(x) = 0
4x + 6=0
x= -6/4
Now,
f(-6/4) = 2 - 1
=-1
By seeing g(x), we can say that function g is a vertical translation 6 units down.
Learn more about transformation here:
https://brainly.in/question/29403318
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