Answer:
A. Definition of angle bisector
Step-by-step explanation:
Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;
m∠ABD = m∠CBD
The correct option is option A. Definition of angle bisector
<em>Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;</em>
<em>AD = CD and BD = BD</em>
<em>We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency</em>
Answer:
angle 9
Step-by-step explanation:
Remember to follow the order of operation, PEMDAS. PEMDAS stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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5. 9(7x - 4) = 27
First, distribute 9 to all terms within the parenthesis:
9(7x - 4) = 27
(9 * 7x) - (9 * 4) = 27
63x - 36 = 27
Next, isolate the variable, x. Do the opposite of PEMDAS.
First, add 36 to both sides:
63x - 36 (+36) = 27 (+36)
63x = 27 + 36
63x = 63
Isolate the variable, x. Divide 63 from both sides:
(63x)/63 = (63)/63
x = 63/63 = 1
x = 1
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6. 5(3x + 8) = 175
First, distribute 5 to all terms within the parenthesis:
5(3x + 8) = (5 * 3x) + (5 * 8) = 15x + 40
15x + 40 = 175
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 40 from both sides:
15x + 40 (-40) = 175 (-40)
15x = 175 - 40
15x = 135
Next, divide 15 from both sides of the equation:
(15x)/15 = (135)/15
x = 135/15 = 9
x = 9
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Linda's original savings is $800.
3/4 of savings on furniture.
4/4 - 3/4 = 1/4 this is spent on the TV.
200 ÷ 1/4 = 0 *equation to be used in finding the original amount of Linda's savings.
Dividing fractions:
Step 1. Get the reciprocal of the 2nd fraction. 200/1 is the 1st fraction. 1/4 is the second fraction. The reciprocal of 1/4 is 4/1. Reciprocal means swapping the numerator and denominator.
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction.
200/1 * 4/1 = (200 * 4) / (1 * 1) = 800 / 1.
Step 3. Simplify the fraction.
800 / 1 = 800.
