Answer:
<u>Value of x:</u>
x = 1
<u>Values of Each Side:</u>
(2x) Measure = 102
(x + 14) Measure = 65
(x - 38) Measure = 13
Step-by-step explanation:
We know that the measures of a triangle always add up to 180.
So to solve, we use the equation: (2x) + (x + 14) + (x - 38) = 180. To solve, first first combine like terms to get: 4x - 24 = 180. Now add 24 to both sides to get: 4x = 204. Now divide 4 from both sides to get: x = 51.
Now insert 51 for x in all the angles to get the final measures.
Hope it helps!
Answer:
M=(2,1)
Step-by-step explanation:
The mid points is half the distance of the x and y values so
-4 and 8 are 12 apart so 12/2=6 so -4+6=2
so the x value of M is 2
same for the y value 6 and -4 are 10 apart 10/2=5 and 6-5=1 so
so the y value of M is 1 so
M=(2,1)
We are given the expression x³ - 2y² - 3x³ + z⁴. We have to evaluate it at a given set of x, y, and z values. Before then, let's combine like terms.
x³ - 2y² - 3x³ + z⁴
= -2x³ - 2y² + z⁴ <-- by combining like terms
Now we evaluate for x=3 y=5 z = -3
= -2(3³) - 2(5²) + (-3⁴) <-- by putting in for x, y, z
= -2(27) - 2(25) + 81 <--- parentheses and exponents first in order of operations
= -54 - 50 + 81 <---- multiplication is next
= -4 + 81
= 77
Thus, we evaluate and it's 77.
23/4
Step by step:
5/1 + 3/4
5/1 • 4 = 20/4
20+3/4
23/4
