Answer: x=40°
Step-by-step explanation:
The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40
Answer:
y = 1/2x +5
Step-by-step explanation:
change f(x) to y
y = 2x - 10
then switch x and y
x = 2y - 10
then solve for y
add 10 to both sides and divide both sides by 2
Explanation:
1. CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC — given
2. ∆CRH ~ ∆HSC — AA similarity theorem
3. ∠SCH ≅ ∠RHC — corresponding angles of similar triangles are congruent
4. CH ≅ HC — reflexive property of congruence
5. ∆CRH ≅ ∆HSC — SAS congruence theorem
6. CR ≅ HS — CPCTC
Answer:
Sure I'm here
Step-by-step explanation:
Answer: Close. Your observation is correct. When you see that the difference between two numbers in the sequence is a perfect square, you are looking at a pyramidal sequence
1² = <u>1 </u> top of pyramid
1 + 2² = <u>5</u> total in top 2 layers
1 + 2² + 3² = <u>14</u> total in top 3 layers
1 + 2² + 3² + 4² = <u>30</u> total in the top 4 layers.
1 + 2² + 3² + 4² + 5² = <u>55</u> total in the top 5 layers.
Layer 6 is 6² more, 91
Layer 7 is 7² more so, 140
I think you got it.
Step-by-step explanation: The numbers are like when you keep adding the layers in a pyramid, and the next number is the total of the previous layers plus the square of the next layer number.