Answer:
D
Step-by-step explanation:
Each factor on the right has to be multiplied by the equation on the left and then you add them.
The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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Answer:
The bait is 14 feet below the water surface
Step-by-step explanation:
Here, we want to know the final position of the bait relative to the surface of the water.
Firstly, he starts with the bait at 2 feet below the water surface. The reels out the bait a further 19 feet, the new position of the bait relative to the water surface will be 2 + 19 = 21 feet
Now, he reels the bait back by 7 feet.
Thus, the new depth of the bait relative to the water surface will be 21-7 = 14 feet
Answer:
Step-by-step explanation:
Let x represent height of the prism.
We know that volume of rectangular is equal to product of its height, width and length.
, where w, h and l represents width, length and height respectively.
We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:
We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:
Let us solve for x.
Therefore, the value of x is 7.2 inches.
Step-by-step explanation:
16. Length of a line = sqaureroot of ((x1-x0)^2 - (y1- y0)^2)
C (2,-3) D (6,3)
CD = sqaureroot of ((6-2)^2 + (3-(-3))^2)
CD = sqaureroot of ( 16 + 36)
CD = sqaureroot of 52 = 2 root 13 = length
17. E (5, - 1) because the point is under the x axis.
Midpoint = ((x1+ x0)/2 , (y1 +y0) /2)
B (8,1) C (2, - 3)
Midpoint of BC = ((2+8)/2 , (-3+1)/2)
= (10/2 , - 2/2)
= (5, - 1)
18. Length of AE
A (4,5) E(5,-1)
Square root of ((5-4)^2 + (-1-5)^2)
Square root of (1^2 + - 6^2)
Square root of ( 1 + 36)
Square root of 37 = root 37
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