Answer:
the answer is 96°
Step-by-step explanation:
it is an isosceles triangle as it's 2 sides are equal.
for an isosceles triangle, the angles made by the equal sides with the third side are equal.
and the sum of all angles in a triangle = 180°
42 + 42 + x = 180
x = 180 - 84
X = 96°
Answer:
x=4
Step-by-step explanation:
since triangles are proportional by 2:1, then:
16/2=3x-4
8=3x-4
3x=12
x=4
Answer:
<h2>
He is going to pay 40*900= $36000 for the reservation</h2>
Step-by-step explanation:
Step one:
We are told that they need at least 50 total rooms.
Joe has paid for 16 rooms since Joe can only reserve rooms in block, and a block has 8 rooms, then Joe has paid for 2 blocks.
There is a deficit of 50-16= 34rooms
Required
The Number of blocks Joe need to reserve in addition is 34/8
=4.25
The blocks can not be in decimal, so we need to approximate, which is 5 blocks
Therefore Joe is going to reserve 5*8= 40 rooms
<u>He is going to pay 40*900= $36000 for the reservation</u>
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Answer:
C)x = +/-15
Step-by-step explanation:
15x15=225
-15x-15=225
