Answer:
9
Step-by-step explanation:
In a equilateral triangle all angles are equal and 60° each so
7x - 3 = 60° ➡ 7x = 63° ➡ x = 9
<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
<em />
<em>STATEMENT REASON </em>
___________________________________________________
1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
<em />
<em>Keywords: statement, length, reason, proof</em>
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Had trouble reading your post. It's important that you separate each equation with plenty of spaces, or, b etter yet, type only one equation per line:
<span>x-y=19 -2x+y/6=28 should be:
</span><span> x-y=19
-2x+y/6=28
Does (-31,-56) satisfy this system? Is (-31) - (-52) = 19? No. Move on to the next system and check again whether or not (-31, -56) is a solution.</span>
Answer:
9, 7,-8.3,>
Step-by-step explanation:
5)-3 is marked exactly 3 units to the left of origin 0.
(since negative sign we mark on left of 0)
6) |-9| = absolute value of 9 = 9
7) y-11=-4
Add 11 to both the sides
WE get y =7 is the solution
8) a + b when a = 2.5 and b = -10.8.
= 2.5+(-10.8) = -(10.8-2.5) = -8.3
9) 0.4 is positive hence lies to the right of origin.
Partition the space between 0 and 1 into 10 equal subparts and mark 4th subdivision to get 0.4
10) -1.8>-2.5
