It's an isosceles triangle so angles A and BCA are congruent.
Angle BCA is the supplement of BCD, so 180-109 = 71.
Angle A is congruent to that, so A=71 degrees.
Let's see if we can get that in the format they want, kind of as a proof.
1. ∠BCD=109° Reason: Given
2. AB ≅ BC Reason: Given
3. ∠BCA = 71° Reason: Linear pairs are supplementary
4. ΔABC is isosceles. Reason: Definition of isosceles
5. ∠A ≅ ∠BCA Reason: Isoceles triangle theorem
6. ∠A = 71° Reason: Def congruent
Answer: 71 degrees
Answer:
-10x + 1.5
Step-by-step explanation:
Answer:
can't you do it by yourself
Step-by-step explanation:
go away
Answer:
x=59/5 or x=11.8 depends on which one you want to do both are true
Step-by-step explanation:
Start with what you are given
angle 4= 5x+6 and angle 3=65 because lines m and n are both parallel angle4=angle3 in other words 5x+6=65
what you want to do is get x by itself.
1. Subtract 6 from both sides
5x+6-6=65-6
5x=59
2. Divide both sides by 5
5x/5=59/5
x=59/5
3. Check to see if you can simplify the fraction and if you teacher wants it in decimals or exact fraction.
x=59/5 or x=11.8 they are the same just ones a decimal the other is left as a fraction
Answer:
g(x)=2-x² OR g(x)=-x²+2
Step-by-step explanation:
Notice that the red parabola doesn't stretch or compress. It only translates 3 units down. This means taking the original equation f(x)=-x²+5 and subtracting 3 units will get us the equation g(x)=-x²+2 which is also the same thing as g(x)=2-x². Looks like some of your answer choices got cut out of the picture so make sure to choose the answer I provided.