5/11 in decimal form is .45
Answer:
x = 47°
y = 10
z = 5
Step-by-step explanation:
They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.
The angles of a triangle add to 180.
x+90+43=180
x=47
z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5
Y is congruent to side 10, which also means it is equal to 10. Therefore y=10
Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
Work out 3/8 of 48.
First of all divide 48 by the denominator:
48 ÷ 8 = 6 (this gives 1/8 of 48)
Now multiply this answer by the numerator:
6 × 3 = 18 (this gives 3/8 of 48)
