Answer:
x = 
Step-by-step explanation:
Given
x - 2 
= 
( change mixed number to improper fraction )
x - 
=
Multiply through by 36 ( the LCM of 4 and 18 ) to clear the fractions
36x - 81 = 2 ( add 81 to both sides )
36x = 83 ( divide both sides by 36 )
x =
Answer:
AC = XY
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of the other triangle.
In Δ ABC and ΔXYZ ,∠B=∠X=90. This means that triangle ABC and triangle XYZ are right angled triangle since one of their angles is 90 degrees.
The hypotenuse is the side opposite to right angle (90 degrees).
Therefore AC is the hypotenuse of triangle ABC and YZ is the hypotenuse of triangle XYZ.
If the hypotenuse and one leg of a right angled triangle is equal to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent by RHS rule.
Since BC = XY, for Δ ABC congruent to ΔXYZ by R.H.S condition, the hypotenuse have to be equal, i.e. AC = XY
Answer:
a is 67.20 and b is 1267.20
Step-by-step explanation:
first you have to multiply 1200 from 5.6% and you get 67.20 then you have to add 1200 to 67.20 and you get 1267.20
Hello! And thank you for your question!
Quotient = division.
3/5 divided by 1/10
First use the rule a divided by b/c = a x c/b:
3/5 times 10
Then simplify:
30/5 = 6
Final Answer:
D. 6
Answer:
The baker ended up with 22 extra donuts.
Step-by-step explanation:
Since the baker had 24 boxes and made 526 donuts, to split them evenly between the total number of boxes means that we need to divide the number of total donuts by the number of boxes:
526 ÷ 24 = 21 remainder of 22
Since 24 x 21 = 504 and 24 x 22 = 528 and the baker only made 526 donuts, then the most amount of donuts he can use to split them evenly with the total amount of 526 is 504. 526 - 504 = 22, so he has an extra 22 donuts that will not be in boxes.
