Answer:
The number of cookies in the jar is 7.
If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12
Step-by-step explanation:
<em>Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-</em>
7(x) + 5 = 54
7x + 5 = 54
7x = 54 - 5
7x = 49
x = 
x = 7
The number of cookies in the jar is 7.
If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12
<em>Hope this helps.</em>
Answer:
The slope of the line segment CD = 9
Hence, option 'D' is true.
Step-by-step explanation:
Given that the slope of line segment = 9
- We know that two triangles would be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that the line segments AB and CD are both parts of the same non-vertical line. It means their slopes must be the same.
Thus, the slope of the line segment CD = 9
Hence, option 'D' is true.
Please refer to my attachments for visual guidelines.
We are going to solve your problem by using the pythagorean theorem, a^2+b^2 = c^2, where a and b are the legs of the triangle, and c is the hypotenuse (the longest side).
The length of the ladder is equal to 70ft (hypotenuse); one leg is the distance between the wall and the bottom of the ladder - 40 ft, the other leg is unknown for it is the distance between 10 ft above the ground and the top of the ladder-represented by "x". Using pythagorean theorem, a^2+b^=c^2, we have x^2+40^2 = 70^2. Solving the exponents, we have x^2 + 1600 = 4900.
Isolating the variable x, we have x^2 = 4900-1600. Futher simplying, x^2 = 3300. Thus, x = √
3300 or 57.4456264654 ft.
Adding 10 ft to x, therefore, the top of the leadder is 67.4456264654 ft off the ground.
Answer:
The perimeter of a shape is the length around it.
Step-by-step explanation:
We will be using the x and y values and add them together to find the total perimeter.
To do this, let's find all the values of the 2 axis:
(2 to 4) = 2
(1 to 3) = 2
(4 to 10) = 6
(3 to 1) = 2
(10 to 12) = 2
(1 to 8) = 7
(12 to 2) = 10
(8 to 1) = 7
We now add these values together which gives us <em><u>38</u></em>. Don't forget to add the units afterwards (cm, m and so forth).