Answer:
Girls: 11
Boys: 18
Step-by-step explanation:
x: number of girls
x+x+7=29
2x=22
x=11
number of guys:
x+7=11+7=18
Answer:
540
Step-by-step explanation:
No matter what the shape, the total amount of degrees in the interior angles in a pentagon is 540. Hope this helps!
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°
<em>4x-79=3x-29</em>
<em>Move the terms with "x" on the left, and the numbers on the right.</em>
<em>4x-3x=79-29</em>
<em>x=50</em>
Step-by-step explanation:
