Answer:
Step-by-step explanation:
<u>Use the law of cosines to find the side AB:</u>
<u>Use the Heron's area formula next:</u>
, where s- semi perimeter
- s = 1/2[x + x + 3 +
) = 1/2 (2x + 3 + ) - s - a = 1/2 (2x + 3 + - 2x - 6) = 1/2 (
- 3) - s - b = 1/2 (2x + 3 + - 2x) = 1/2 ( + 3)
- s - c = 1/2 (2x + 3 + - 2) = 1/2 (2x + 3 - )
<u>Now</u>
- (s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
- s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)
<u>Next</u>
- A² = 3/16(x² + 3x)(x² + 3x)
- 300 = 3/16(x² + 3x)²
- 1600 = (x² + 3x)²
- x² + 3x = 40
<u>Substitute this into the first equation:</u>
Answer:
The square root of 81 is 9
Answer:
<h2>49.49%</h2>
Step-by-step explanation:
volume of liquid in the flask= 200 cm^3
radius of the flask = 3 cm
height of the flask= 12 cm
volume of flask is given by =
putting values and solving we get =396 cm^3
therefore the volume unfilled= 396-200= 196cm^3
therefore % of volume unfilled= 196/396*100= 49.49%
Answer:
(4, 80) Which is L
Step-by-step explanation:
First number should be on the X axis and the second on the Y axis.
The given congruency of the sides 
and 
and 
and 
as well
as the congruency of the common side 
gives.
ΔBEL ≅ ΔLOB by SSS congruency postulate
<h3>Which values correctly completes the table?</h3>
The completed two column proof is presented as follows;
Statement 
Reasons
1. 
1. Given
2. 
≅ 
2.
3. 
3. <u>Reflexive property of congruency</u>
4. ΔBEL ≅ ΔLOB 4. <u>SSS congruency postulate</u>
Side-Side-Side, SSS, congruency postulate states that if three sides of
one triangle are congruent to three sides of another triangle, the two
triangles are congruent.
Learn more about different congruency postulates here:
brainly.com/question/1495556
