Answer:
55
Step-by-step explanation:
The three angles form a straight line, so they add to 180.
x + x + 70 = 180
Combine like terms
2x+70 =180
Subtract 70 from each side
2x+70-70 =180-70
2x= 110
Divide by 2
x = 55
SQT = x
So SQT = 55
Answer:
3.6 lb
Step-by-step explanation:
to find the decimal of a fraction, you simply divide the numerator by the denominator. 3 divided by 5 equals 0.6, which is added to the end of your whole number.
Answer: Option a.
Step-by-step explanation:
Make the denominator equal to zero and solve for x:
Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:
Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2
The answer is the option a.
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
Answer:
Your answer will be (6,1)
Step-by-step explanation:
I know this because a reflection over the x-axis is (x,y) -> (x,-y) If you apply this to (6,-1) you get (6,1).
