Answer:
The ordered pair is not a solution.
Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
Answer:
I am not sure can't see the answer choices but pretty sure its rhombus
Step-by-step explanation:
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<u>Answer:
</u>
The diameter of a sphere is 6ft 6in. The radius of sphere is 3 feet 3 inches.
<u>Solution:
</u>
Given that the diameter of sphere is 6 feet 6 inches.
We have to find the radius of the sphere.
The relation between diameter and radius of sphere is given as
Therefore, 
Radius = 3 feet 3 inches.
Hence the radius of the sphere is 3 feet 3 inches.
I'll do #6.
The axis of symmetry is the x-coordinate of the vertex, which in this case, is (0,-4). So the axis of symmetry is x=0.
The vertex is in the above answer. Since this is a quadratic function, there are no boundaries, the domain is All Real Numbers.
The range goes up forever <em>from </em><em>the vertex. </em>The vertex is (0,-4), so, the minimum y value is -4. The range is y is greater than or equal to -4, or in interval notation: [-4,infinity]
Hope this helps!
