Angles ∡DBE ≅ ∡ACD= 3x reason - angles with parallel arms
Angles ∡ADC and ∡ADB=95° are supplemental angles which means
∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°
In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>
85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95
x=95/5 => x=19°
Good luck!!!
Answer:
1/5x - 12 = -7
Step-by-step explanation:
The first thing says 12 less THAN. Normally, when you see something in word problems like "less than" it means you need to switch the places.
So rather than 12 - 1/5, it's 1/5 - 12.
1/5 of a number means you are multiplying that number by 1/5. we'll use x (or any letter really, doesn't matter) to represent the unknown number.
Remember that if a variable and number is written together, it means multiplication.
So, 1/5x - 12 = -7.
Answer:
Step-by-step explanation:
83.33To do that we divide 5 / 6, which gives us approximately 0.83333, now we multiply it by 100 since percentages are parts of 100.
Answer: 
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Work Shown:
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Explanation:
The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.
Then factor out y and divide both sides by (8x-2)
Afterward there's the optional steps of simplifying (as shown in the final two steps).
Isosceles triangle = 2 same angle (x) + 1 different angle.
Therefor, 2x+72 = 180.
90-36 =x,
X= 54.
