Answer:
The answer to your question is below
Step-by-step explanation:
1.- (2b - 1) (b + 8) = 0
2b - 1 = 0 b + 8 = 0
b = 1/2 b = -8
2.- (x + 3)(x - 12) = 0
x + 3 = 0 x - 12 = 0
x = -3 x = 12
3.- (4b+ 7)(b + 11)
4b + 7 = 0 b + 11 = 0
b = -7/4 b = -11
4.- (k - 8)(k + 6)
k - 8 = 0 k + 6 = 0
k = 8 k = -6
5.- (2n + 12)(5n+ 10)
2n + 12 = 0 5n + 10 = 0
n = -12/2 = -6 n = -10/5 = -2
6.- (w - 3)(3w - 7)
w - 3 = 0 3w - 7 = 0
w = 3 w = 7/3
7.- (6n - 5)(n - 10)
6n - 5 = 0 n - 10 = 0
n = 5/6 n = 10
8.- (n + 12)((4n + 7)
n + 12 = 0 4n + 7 = 0
n = -12 n = -7/4
9.- (3b + 4)(5b - 10)
3b + 4 = 0 5b - 10 = 0
b = -4/3 b = 10/5 = 2
10.- (p - 6)(p + 10)
p - 6 = 0 p + 10 = 0
p = 6 p = -10
Complementary angles are 90 degrees
Supplementary angles are 180 degrees.
you add two angles and they have to equal either 90 or 180 in order to be complementary or supplementary.
the answer is B because <SXT is 25 and <TXU is 65. when you add those two, the answer is 90.
Answer:
y = 4
Step-by-step explanation:
the equation of the that passes through the point (1,4)and is the parallel to the x-axis
So the equation: y = 4. Doesn't matter what value of x but y is always equal 4
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the
KM² = KE² + ME²KM² = 8² + (3√5)² = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM) = 1/2 * 3√5 * (40 + 24) = 1/2 * 3√5 * 64 = 3 x 2.23 * 32 = 214.66 units²
Answer:28
Step-by-step explanation:
If she can invite only 45 and 17 are family just subtract 45 from 17 which is 28 she can Invite 28 more people
