Answer:
C. YES
Step-by-step explanation:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Q1.
Angle BAD is adjacent to angle CAD
which means they are equal
so angle BAD = 26 degrees
Q2.
Angel BAC = the sum of angles BAD and CAD
because they are adjacent angles
To find the angles we solve the equations
9x-5 = 3x+7
9x-3x = 7+5
6x = 12
x = 12/6
x = 6
Answer: +$45
Step-by-step explanation: if his actual pay for the week was $100 then from the question he incorrectly calculated it as {$100 + $45} = $145 which is $45 above his actual pay.
Error = measured value - actual
value.
= $145 -$100 =$45.
NOTE: since the value he assumed{$145} is greater than his actual pay{$100}, we have to include a positive sign to the error{$45}.
Therefore, Error = +$45.
To answer this item, we are first to determine the common factor between the amounts of the cement, sand, and gravel.
If we let x be this factor, the amount of the cement would be x. Similarly, the amount of sand is 3x, and lastly the amount of gravel is 4x. Then, we establish the equation that would let us relate the amounts.
x + 3x + 4x = 480
Simplifying,
8x = 480
x = 60
Hence, the amount of cement is 60 kg, that of sand is 180 kg. Lastly, the amount of gravel is 240 kg.
