First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°
(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =
Therefore, probability of rolling a 6 and tossing a head =
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Answers</h3>
- SSS congruence theorem
- SAS congruence theorem
- ASA congruence theorem
- AAS congruence theorem
- HL congruence theorem
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Explanation:
- SSS stands for "Side side side" indicating there are 3 pairs of sides that are same length. Visually we use tickmarks to show how the sides pair up. Eg: sides that have 1 tickmark only are the same length. If we know that all 3 pairs of sides are congruent, then we have enough info to conclude the triangles are congruent.
- SAS means "side angle side". The angle is between the two sides. The sides in question are the ones with tickmarks to indicate how they pair up.
- We have two angles and a side between them. So we use ASA this time. It stands for "Angle side angle". This is slightly different from AAS.
- We'll use AAS here. The side is not between the two angles. So this is why AAS is different from ASA. Some books may call "AAS" as "SAA", but they're the same thing.
- HL stands for hypotenuse leg. This only applies to right triangles (since the hypotenuse is a special term for the longest side of a right triangle). The hypotenuse is always opposite the 90 degree angle. This is the only time when SSA will work. Otherwise, SSA is ambiguous and it is not a valid congruence theorem.
Answer:
no solutions
Step-by-step explanation:
4x - 8 = 4x
Subtract 4x from each side
4x-4x - 8 = 4x-4x
-8 = 0
This is never true, so there are no solutions
