<span>Adjacent angles are sometimes congruent.
"Sometimes" is the WORD that completes the sentence. </span>
Suppose stamp cost a, then
7a = 1.12
1.12 ÷ 7 = a
a = 0.16
So, each stamp costs 0.16.
111 yards
Explanation
Step 1
to solve this we need to know the equivalence
![\begin{gathered} 3\text{ ft= 1 yd} \\ 3\text{ ft}\leftrightarrow1\text{ yd} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%5Ctext%7B%20ft%3D%201%20yd%7D%20%5C%5C%203%5Ctext%7B%20ft%7D%5Cleftrightarrow1%5Ctext%7B%20yd%7D%20%5Cend%7Bgathered%7D)
Now, we can apply a rule of three
let x represents the number of yards in 333 ft, so
so
![\begin{gathered} if \\ 3\text{ ft}\rightarrow\text{ 1 yd} \\ \text{then} \\ 33\text{ ft}\rightarrow x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20if%20%5C%5C%203%5Ctext%7B%20ft%7D%5Crightarrow%5Ctext%7B%201%20yd%7D%20%5C%5C%20%5Ctext%7Bthen%7D%20%5C%5C%2033%5Ctext%7B%20ft%7D%5Crightarrow%20x%20%5Cend%7Bgathered%7D)
as the ratio is the same, we have a proportion
![\begin{gathered} \frac{3\text{ ft}}{1\text{ yd}}=\frac{33\text{ ft}}{x\text{ yd}} \\ \frac{3}{1}=\frac{33}{x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B3%5Ctext%7B%20ft%7D%7D%7B1%5Ctext%7B%20yd%7D%7D%3D%5Cfrac%7B33%5Ctext%7B%20ft%7D%7D%7Bx%5Ctext%7B%20yd%7D%7D%20%5C%5C%20%5Cfrac%7B3%7D%7B1%7D%3D%5Cfrac%7B33%7D%7Bx%7D%20%5Cend%7Bgathered%7D)
Step 2
now, solve for x
![\begin{gathered} \frac{3}{1}=\frac{333}{x} \\ \text{cross multiply} \\ 3\cdot x=333\cdot1 \\ 3x=333 \\ \text{divide both } \\ \frac{3x}{3}=\frac{333}{3} \\ x=111 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B3%7D%7B1%7D%3D%5Cfrac%7B333%7D%7Bx%7D%20%5C%5C%20%5Ctext%7Bcross%20multiply%7D%20%5C%5C%203%5Ccdot%20x%3D333%5Ccdot1%20%5C%5C%203x%3D333%20%5C%5C%20%5Ctext%7Bdivide%20both%20%7D%20%5C%5C%20%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B333%7D%7B3%7D%20%5C%5C%20x%3D111%20%5Cend%7Bgathered%7D)
so, the answer is 111 yards
I hope this helps you
Answer:
Step-by-step explanation:
By using regression line calculator,
Equation of the line of best fit,
c). y = 0.74x + 0.03
Here, x = Number of pints
y = Weight in pounds
d). We have to find the weight of 10 pints of the blueberries,
By substituting x = 10 in the equation,
y = 0.74(10) + 0.03
y = 7.4 + 0.03
y = 7.43 pounds
e). If per pound cost of the blueberries = $2.25
By substituting y = 2.25 in the equation,
2.25 = 0.74x + 0.03
x = ![\frac{2.22}{0.74}](https://tex.z-dn.net/?f=%5Cfrac%7B2.22%7D%7B0.74%7D)
x = $3.00 per pound
Therefore, cost of 10 pounds blueberries = 3 × 10
= $30
5x4-3
5x4=20
so 20-3 = 17
your answer is 17.
You replace h with 4, then multiply 4 by 5 and then deduct 3 from the product.