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:
371
Step-by-step explanation:
I hope you can see it just try to zoom in
Answer:
4
Step-by-step explanation:
→ –36 – ( –40 )
- Whenever there is sign of subtraction before the brackets, signs of the numbers inside the brackets get changed when we removed the brackets.
→ –36 + 40
→ 4
<u>4</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>required</u><u> answer</u><u>.</u>
Answer:
7/12 OR 0.58 (2.d.p)
Step-by-step explanation:
Product means that the two rational numbers are being multiplied to get 7.
The question also tells us that one of them is 12. Therefore we can write an equation to express this information where we represent the unknown rational number using the letter 'r':
r x 12 = 7
Rearrange to find r:
r x 12 / 12 = 7 /12
r = 7/12 = 0.5833....
= 0.58 (2.d.p)
Hope this helped!