Answer: 2
Step-by-step explanation:
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Answer:
Greater than (>)
Step-by-step explanation:
Last week, Jason ran 26.1 miles.
He wants to run further this week.
<u>Distance Run this week</u>
- 2.4 miles to the park,
- Four times around the park= 4p (if distance around the park is p miles)
- 2.4 miles back from the park.
Total Distance this week =2.4+4p+2.4
Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:
Total Distance covered this week > Total Distance Last week

Jason should use the greater than inequality sign.
Set it up as an equation. "A number" is x.
2x-2=x+64
Move all of the x terms to one side by subtracting x from both sides, then add 2 to both sides to isolate x.
X=66
The number is 66
False because you can only use the Pyth. Theorem on right triangles which may not necessarily be ALL similar triangles.