The exterior angles of a triangle always add up to 360, so 360 - 130 - 134 = 96
X=96
Answer:
Step-by-step explanation:
Let a = the number of apples
And b = the number of bananas. Then,
![\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcll%7D%281%29%20%5C%2C%201.75a%20%2B%200.40%20b%20%26%20%3D%20%26%207.65%26%5C%5C%282%29%5C%2C%20%5C%2C%20%5C%2C%20%5C%2C%20%5Cquad%20%5Cqquad%20a%20%2B%20b%20%26%20%3D%20%269%26%5C%5C%283%29%20%5C%2C%200.40a%20%2B%200.40b%20%26%20%3D%20%263.60%26%5Ctext%7BMultiplied%20%282%29%20by%200.40%7D%5C%5C1.35a%20%26%20%20%3D%264.05%5C%5C%284%29%20%5C%2C%20%5C%2C%20%20%5Cquad%20%5Cqquad%20%5Cqquad%20a%20%26%20%3D%26%20%5Cmathbf%7B3%7D%26%5Ctext%7BDivided%20each%20side%20by%201.35%7D%5C%5C3%20%2B%20b%20%26%20%3D%20%269%26%20%5Ctext%7BSubstituted%284%29%20into%20%282%29%7D%5C%5Cb%20%26%3D%26%20%5Cmathbf%7B6%7D%26%5Ctext%7BSubtracted%203%20from%20each%20side%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThey%20bought%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B3%20apples%20and%206%20bananas%7D%7D%24%7D)
Check:
![\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccl%7D3%281.75%29%20%2B%206%280.40%29%20%3D%207.65%20%26%20%5Cqquad%20%26%203%20%2B%206%20%3D%209%5C%5C5.25%20%2B%202.40%20%3D%207.65%20%26%20%5Cqquad%20%26%209%20%3D%209%5C%5C7.65%20%3D%207.65%20%26%20%5Cqquad%20%26%20%5C%5C%5Cend%7Barray%7D)
OK.
Answer:
<h3>Children's books</h3>
- Number = c
- Cost of each = $5
- Total of children's books = 5c
<h3>Adult books</h3>
- Number = a
- Cost of each = $9
- Total of children's books = 9a
<h3>The equations reflecting the totals are</h3>
- Books ⇒ c + a = 500
- Total cost ⇒ 5c + 9a = 3940
Answer:
parallel
Step-by-step explanation:
Answer:
32.5%
Step-by-step explanation:
80 - 54 = $26 in the piggy bank
80/100% = 26/x%
x = 32.5%