As per the isosceles triangle theorem, if the two base angles are congruent then the legs are also congruent, so we must set the two legs equal to each other:
2z - 15 = 9
Add 15 to both sides:
15 - 15 = 0
15 + 9 = 24
Divide 2 from each side:
2z = 24
2z/2 = z
24/2 = 12
z = 12
Hence, the answer would be D: z = 12
The answer is x = 10, y = 10.
Step 1: rearrange the second equation for y.
Step 2: substitute y from the second equation into the first equation.
Step 3. Calculate y.
Step 1.
<span>The second equation is: 6x + 3y = 90
Divide both sides of the equation by 3:
(6x + 3y)/3 = 90/3
6x/3 + 3y/3 = 30
2x + y = 30
Rearrange the equation:
y = 30 - 2x
Step 2.
</span>Substitute y from the second equation (y = 30 - 2x) into the first equation:
<span>15x + 9y = 240
15x + 9(30 - 2x) = 240
15x + 270 - 18x = 240
15x - 18x = 240 - 270
-3x = -30
x = -30/-3
x = 10
Step 3.
Since </span>y = 30 - 2x and x = 10, then:
y = 30 - 2 * 10
y = 30 - 20
y = 10
Answer:
The answer is A) 379.9
Step-by-step explanation:
3.14(11^2)
3.14*11^2
3.14*(11*11)
379.94 if rounded to the nearest tenth it would be 379.9
<u>Given</u>:
The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)
The points are rotated 90° about the origin.
We need to determine the coordinates of the point C'.
<u>Coordinates of the point C':</u>
The general rule to rotate the point 90° about the origin is given by
Substituting the coordinates of the point C in the above formula, we get;
Therefore, the coordinates of the point C' is (-1,2)
<em>Answer:</em>
<em>D)</em>
<em>Step-by-step explanation:</em>
<em>We know that it cannot be C since z is not involved in this problem.</em>
<em>a) 3/20x</em>
<em>Try with 20 = x</em>
<em>3/440 ≠ 3</em>
<em>A is not the answer.</em>
<em>b) 60x</em>
<em>Try with 20 = x</em>
<em>1800 ≠ 3</em>
<em>B is not the answer.</em>
<em>c) 60/x</em>
<em>Try with 20 = x</em>
<em>3 = 3</em>
<em>Try with 15 = x</em>
<em>4 = 4</em>
<em>D is your answer.</em>
<em>Hope this helps. Have a nice day. Oh, and one more thing. Surprised to see I'm not stealing points?</em>
