<h3>
Answer: x = 61</h3>
=============================================
Explanation:
The angle x and the 29 degree angle combine to form a 90 degree angle. This is because the square maker on the left has that angle at 90 degrees, and all of the angles combine to form 180. So 180-90 = 90 is the left over amount.
Add up x and 29 to get 90
x+29 = 90
Solve for x by subtracting 29 from both sides
x+29-29 = 90-29
x+0 = 61
x = 61
--------------
An alternative is to solve the equation below for x
x+29+90 = 180 ... see note below
x+119 = 180
x+119-119 = 180-119 ... subtract 119 from both sides
x = 61
we get the same answer
note: this equation turns into x+29 = 90 if you subtracted 90 from both sides
The 7-digit number we are looking for is 8,92a,bcd
"The value of the thousands digit is double that of the ten thousands digit."
The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.
The 7-digit number we are looking for is 8,924,bcd
"The sum of all its digits is 24."
8+9+2+4+b+c+d = 23 + b+ c+ d
Thus b+c+d = 1
The digits to the tens and hundreds places are the least and same value.
These two digits (b and c) must be 0, because b+c+d = 1
That means that the digit "d" must be equal to 1.
The 7-digit number we are looking for is 8,924,001
This number is the only number that satisfies all the conditions stated in the question.
Answer:
P = 7
Step-by-step explanation:
46+8=54
54-5=49
49÷7=P
Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
