X=3
LOM and KOL are equivalent, so the equation is 43=6x+25 :)
Answer:
2:1
Step-by-step explanation:
Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.
20:10 = 2:1
The scale factor from triangle ABC to triangle DEF is 2:1.
Answer:
7 feet and 24 feet
Step-by-step explanation:
In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.
Let x feet and y feet be the lengths of triangle's legs.
By the Pythagorean theorem,
The area of the right triangle is half the product of its legs, thus
Solve the system of two equations:
From the second equation:
Substitute it into the first equation:
The length of the leg cannot be negative, so
Answer: 54
Step-by-step explanation:
By the inscribed angle theorem, angle ZXY measures half of 108 degrees, which is 54 degrees.
Answer: 20
Step-by-step explanation:
Given : The orchestra at millard middle school has 120 members.
Of these 17% are eighth grade students.
i.e. Percentage of eighth grade students in orchestra = 17%
Then, the number of eighth grade students in the orchestra. = (Percentage of eighth grade students in orchestra) x ( Total members in orchestra)
= 17% x 120
[We convert % into decimal by dividing it by 100]
[Round to the nearest integer.]
Hence, the estimated number of eighth grade students in the orchestra is 20.