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jackvj4959
09.06.2021 •
Mathematics
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Ответ:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
Ответ:
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
Two angles are said to be Complementary if their sum is equal to 90°
The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
Two angles are said to be Supplementary if their sum is equal to 180°
The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
Ответ:
2¹⁰
Step-by-step explanation:
Remember, when you divide exponents, you subtract the powers.
Step 1: Write out equation
Step 2: Convert 8 to exponent
log₂8 = 3
So 8 = 2³
Step 3: Replace
Step 4: Evaluate
13 - 3 = 10