Let the unknown number be x.
x × -7 = 7 (x + -40)
-7x = 7x - 280
-14x = -280
x = 280/14
x = 20
Hope this helps!
Long leg = 8 → opposite
short leg = 6 → adjacent
hypotenuse = ?
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c
sin ∠BOC = opposite / hypotenuse
sin ∠BOC = 8 / 10
sin ∠BOC = 0.80
tan ∠BOC = opposite / adjacent
tan ∠BOC = 8 / 6
tan ∠BOC = 1.33
Answer: 50%
There are 2 sides, one of which is tails, so
P(tail) = 1/2 = 0.50 = 50%
Answer: The measure of the supplement is 150 degrees. The other angle is 30 degrees.
Step-by-step explanation:
angle: x/5
x+x/5=180
5x+x/5=180
6x/5=180
x=180(5/6)
x=150
Other angle: 150/5=30
or 180-150=30
Answer:
Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.
Step-by-step explanation:
If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.
From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°
Hence, using angle addition postulate:
m∠ABD + m∠DBC = m∠ABC
20 + m∠DBC = 80
subtracting 20 from both sides (subtraction property of equality)
m∠DBC = 80 - 20
m∠DBC = 60°