Answer:
x=-26
Step-by-step explanation:
Distributive property first (both sides)
you would get
4x+2 = 3x-24
next you will subtract 3x from both sides
1x+2=-24
add 24 to both sides
1x+26=0
move 26 to the other side but since you flipped it you have to make it negative
x=-26
Answer:
See below
Step-by-step explanation:
To solve a proportion ( an equation with two equal fractions), cross multiply by multiplying numerator and denominator of each fraction.
8/5=24/h 8h = 5*24 8h = 120 h=15
h/8=24/5 5h = 8*24 5h = 120 h= 24
h/5=24/8 8h =5*24 8h = 120 h=15
8/5=h/24 5h = 8*24 5h = 120 h=24
8/24=5/h 8h = 24*5 8h = 120 h = 15
5/8=h/24 8h = 5*24 8h =120 h = 15
h/5=8/24 24h =5*8 24h = 40 h = 5/3
Answer: a
Step-by-step explanation: a
Answer:
C.
Step-by-step explanation:
x is bisecting the baseline (cutting it in 2 halves of 6).
the third angle in the main overall triangle is 60 degrees.
remember, all angles in a triangle always add up to 180 degrees.
so, 180 - 60 - 60 = 60.
that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.
=> y = 12
and now using Pythagoras to calculate the height (x) of the triangle :
y² = x² + 6² (remember, this side is only half the baseline)
12² = x² + 6²
144 = x² + 36
x² = 108
x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
Answer:
Opposite angles of a cyclic quadrilateral add to 180°
Angel CBA and angle ADC adds up to 180°.
CBA + ADC = 180
CBA = 180 - ADC
x + CBA = 180
x + 180 - ADC = 180
x - ADC = 0
x = ADC
y + ADC = 180
y + x = 180
