Answer:
$48.96
Step-by-step explanation:
Given data
Length= 10inches
Width=14 inches
Let us find the perimeter of the certificate
P=2L+2W
P= 2*10+2*14
P=20+28
P= 48 inches
Hence if 1 inche cost $1.02
Then 48 inches will cost x
cross multiply we
x= 48*1.02
x= $48.96
Hence it will cost $48.96 to frame the certificate
Answer:
I got x = 1
Step-by-step explanation:
First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:

And since -2.5 is less than -1 this statement is true. x does in fact equal 1
Answer:
m<1 = 45°
m<2 = 76°
m<3 = 80°
Step-by-step explanation:
<u>Points to remember</u>
1). Vertically opposite angles are equal
2). Sum of angles of a triangles is 180°
<u>To find the measures of given angles</u>
From the figure we get,
m<1 = 45° [Vertically opposite angles]
By using angle sum property <2 + 59 + 45 = 180
m<2 = 180 - 104
m<2 = 76°
Also m<1 + m<3 + 55 = 180
m<3 = 180 - (m<1 + 55)
= 180 - (45 + 55)
= 180 - 100
m<3 = 80°
Answer:
95%
Step-by-step explanation:
Total distance of trip = 980 miles
Miles covered when Amelia slept = 931 miles
what percentage of the total trip had they travelled when Amelia fell asleep?
Miles yet to be covered = 980 miles - 931 miles
= 49 miles
percentage of the total trip had they travelled when Amelia fell asleep = 931 / 980 × 100
= 0.95 * 100
= 95%