Answer:
Rose bought 14 packages of granola bars.
Step-by-step explanation:
Total bill = 1 bag of potatoes + x amount of packages of granola bars
Total bill = $74.25
1 bag of potatoes = $6.00
1 package of granola bar = 5.25
We set the equation to:
74.25 = 6.00 + 5.25x
Subtract 6.00 from both sides:
68.25 = 5.25x
Divide both sides by 5.25 to leave x by itself
68.25/5.25 = 5.25x/5.25
13 = x
This means Rose bought 13 packages of granola bars.
Let's recheck our work by inputting x = 13 into the equation:
74.25 = 6.00 + 5.25(13)
74.25 = 6.00 + 68.25
74.25 = 74.25
There are 105 in 6th grade because there are 75 boys right? So it said the ratio of girls is 7 and the ratio of boys is 5 so I divided 75 to 5 = 15 and I multiply 7 to 15 and got 105 girls.
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°
The answer to the question is d
