Answer:
x²-y² = 40
Step-by-step explanation:
Factorising x²-y²:
x²-y² = (x+y)(x-y)
This is due to the property that states:
a²+b² = (a+b)(a-b)
Substituting the given values into the above equation:
x²-y² = (10)(4)
= 40
Hence, x²-y² = 40
<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>
Answer:
18√2
Step-by-step explanation:
2√18 + 3√2 + √162
= 2√(9 * 2) + 3√2 + √(81 * 2)
= (2 * 3)√2 + 3√2 + 9√2
= 6√2 + 3√2 + 9√2
= (6 + 3 + 9)√2
= 18√2
Answer:
1/6, 2/3, 15/18
Step-by-step explanation:
get a common denominator
2/3 times 6
15/18 times 1
1/6 times 3
new fractions : 12/18, 15/18, 3/18
so it would be 3/18, 12/18, 15/18
then just revert it back to the original fraction and you have your answer
Answer:
48 degrees
Step-by-step explanation:
Angle 2 is a right angle.
Right angles are 90 degrees.
A line is 180 degrees.
Angle 1, 5, and 2 form a line.
180-90=90
That means that Angles 1 and 5 add up to 90 degrees.
We know that Angle 3 is 42 degrees.
Angle 3 and 5 are Vertical angles.
Vertical angles are always congruent.
This means that Angle 5 is also 42 degrees.
As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)
42+x=90
Subtract 42 from both sides.
x=48
m<1=48
The answers to the following question is
1) KL = 10
2) TE= 15 cm
3) angle PUT= 13
4) angle SQP = 21
<h3>What is similarity in triangle?</h3>
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
1) Using similarity property in given triangle
SR/ KI= SJ / JK
AS, JK= 2 SJ
SR/ KI= SJ / 2 SJ
5/ KI = 1/2
KL= 10
2) As, the diagonal of parallelogram bisect equally each other then
VE = TE
AS, VE = 15
So, TE= 15 cm
3) As, PU is the bisector of angle SUT
angle PUT= 1/2 (angle SUT)
PUT = 1/2 (26)
angle PUT= 13
4) As PQ is the bisector SQR
angle PQR= angle SQP = 21
Learn more about similarity of triangles
brainly.com/question/25882965
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