Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers
So algebraically, consecutive integers follow the form x, x+1, x+2, etc...
Since the sum of two consecutive integers is 239, this means:
x%2Bx%2B1=239
2x%2B1=239 Combine like terms on the left side
2x=239-1Subtract 1 from both sides
2x=238 Combine like terms on the right side
x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x
x=119 Divide
So our first number is x=119
So to find the next number, simply add 1 to it to get 119%2B1=120
Answer: So our two page numbers are 119 and 120
Answer:
The picture that does not contain enough information to prove that ΔABC = ΔDEF is
(3) Picture (3)
Step-by-step explanation:
The given information in picture (3) is the Angle-Side-Side of ΔABC corresponds with the Angle-Side-Side of ΔDEF,
However, the condition of Angle-Side-Side of ΔABC, is not sufficient to prove that ΔABC is congruent to ΔDEF congruency because the length of the unknown side can have two possible values
If we’re talking about the same thing. Determine the shape whether if it’s a prism or pyramid. Then determine what the shape and name of the base.
For example: Triangular Pyramid
<h3>The ladder will reach a height of 11.8 feet up the wall</h3>
<em><u>Solution:</u></em>
The ladder, wall and base of the ladder from wall forms a right angled triangle
Length of ladder forms the hypotenuse
Length of ladder = 12 foot
base of the ladder from wall = 2 feet
<em><u>To find: height of wall</u></em>
By pythagoras theorem.
Where,
"c" is the Length of ladder
"a" is the base of the ladder from wall
"b" is the height of wall
Substituting the values,
Thus, the ladder will reach a height of 11.8 feet on wall
Answer:
a) He needs to consume 600 kcal from protein.
b) 22 kcal come from fat.
Step-by-step explanation:
a) Lee needs to consume 2400 kcal each day and 25% of this income should come from protein.
We are going to use percentages to solve this problem, to find out how many kcal from protein he should consume we need to multiply 2400 by .25.
2400 (.25) = 600
Lee needs to consume 600 kcal from protein.
b) A cup of chili contains 220 kcal If 15% of kcal come from fat how many kcal come from fat?
We are going to solve this in a similar way.
We should multiply the total amount of kcal by .15 which is the amount of fat calories.
220 (.15) = 33
33 kcal come from fat.
