So,
53,879 rounded to the nearest hundred:
If the number in the tens place is greater than or equal to 5, then round up. If not, round down.
7 is greater than or equal to 5, so round up.
53,879 --> 53,900
AB = 6 cm, AC = 12 cm, CD = ?
In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.
Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°
In order to find ∠BCA, use the law of sines:
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA
Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°
Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°
In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.
12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Equation 5x + 3x - 6 = 42
Process
Step 1. Add 6 units in both sides
5x + 3x - 6 + 6 = 42 + 6
Step 2. Simplify
5x + 3x = 48
Step 3. Simplify like terms
8x = 48
Step 4. Divide by 8 both sides
8x/8 = 48/8
Step 5. Simplify
x = 6
