Answer:
We will need 16 tiles
Step-by-step explanation:
Each tile has a width of 1/4 ft
We want to know how many will fill 4 ft
This is a division problem
4 ft wall/ 1/4ft tiles =
copy dot flip
4 * 4/1 = 16
We will need 16 tiles
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
160 feet
Step-by-step explanation:
In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:
5,280 (the number of feet in 1 mile) / 33
5,280/33=160
The posts are 160 feet apart from each other.
HTH :)
Answer:
Options: A, B, and C correctly solve for x.
Step-by-step explanation:
A).
= 
Multiplying both sides by 2 gives;
5x = 15
x = 15 ÷ 5 = 3
∴ This option correctly solve for x.
B).
x + 
= 7
x = 7 - = 
∴ This option correctly solve for x.
C).
x + 3 = 
x = 
But the option give x as 5/6 hence this option does not correctly solve for x.
D).
5x = 11/2
x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10
But the option gives x as 10/11 so it does not correctly solve for x.
Answer:
32°, 58°
Step-by-step explanation:
Let one acute angle measure x.
The other acute angle measures 2x - 6.
The sum of the measures of the acute angles of a right triangle is 90.
x + 2x - 6 = 90
3x - 6 = 90
3x = 96
x = 32
2x - 6 = 2(32) - 6 = 58
Answer: 32°, 58°
