Answer:
Coefficients: 8
Constants: 2
Variables: m and n
Step-by-step explanation:
Sarah had made no errors-
A number on its own is called a Constant.
A coefficient is a number used to multiply a variable.
Answer:
D or A
Step-by-step explanation:
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
<h3>What are
congruent triangles?</h3>
Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.
Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
Find out more on congruent triangle at: brainly.com/question/1675117
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Answer:
The measure of arc EBC is 220°
Step-by-step explanation:
step 1
Find out the measure of angle COB
we know that
m∠COB+m∠DOC=90° -----> given problem
we have that
m∠DOC=m arc DC -----> by central angle
m arc DC=50°
so
m∠DOC=50°
Find m∠COB
m∠COB+50°=90°
m∠COB=40°
step 2
Find out the measure of arc BC
we have that
m arc BC=m∠COB -----> by central angle
m∠COB=40°
therefore
m arc BC=40°
step 3
Find out the measure of arc EBC
we know that
m arc EBC=m arc EB+m arc BC
m arc EB=180° -----> because the diameter divide the circle into two equal parts
so
m arc EBC=180°+40°=220°
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
