Answer:
Statement, Reason
Given segment RV = segment TU, Given
m∠R = m∠T, Given
Segment RS ≅ segment ST, Base angles theorem
ΔRSV ≅ ΔTSU, SAS rule of congruency
Segment SV ≅ segment SU, CPCTC
VU ≅ UV, Reflexive property
RU = RV + VU, TV = TU + UV, Addition of segments
RV + VU ≅ TU + UV, Addition property of equality
RU ≅ TV, Transitive property of addition
ΔRSU ≅ ΔTSV, SSS rule of congruency
Step-by-step explanation:
Where:
SAS- Side Angle Side
CPCTC -Congruent Parts of Congruent Triangles are Congruent
SSS -Side Side Side
Answer:
the answer it $5.18
Step-by-step explanation:
$4.50 + ($4.50 x .15)
$4.50 + $0.68 = $5.18
Answer:
3
Step-by-step explanation:
Common factors : what make up a number (they will be all prime)
6 - 2, 3
9 - 3,3
the common factor is three (its what they have in common)
The length and width that will maximize the area are 175 ft and 87.5 ft respectively
The largest area that can be enclosed is 15312.5 ft²
<h3>Area of a rectangle</h3>
where
l = length
w = width
The fencing is 350 ft it is use to enclose a rectangular plot with a river occupying one part.
Therefore,
perimeter = l + 2w
350 = l + 2w
l = 350 - 2w
area = (350 - 2w)w
(350 - 2w)w = 0
where
w = 0 or 175
average = 175/2 = 87.5
Hence, the max area is at w = 87.5 ft
Therefore,
l = 350 - 2(87.5) = 175 ft
length = 175 ft
width = 87.5 ft
Therefore,
area = 175 × 87.5 = 15312.5 ft²
Therefore, the largest area that can be enclosed is 15312.5 ft²
learn more on rectangle here: brainly.com/question/11630499
2(3x+16)
Step-by-step explanation:
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4
4(x + x + 7) − 2x + 8 − 4
When x=1 , the expression becomes 4(1+1+7)-2(1)+8-4=38
When x=2 , the expression becomes 4(2+2+7)-2(1)+8-4=44
Plug in x=1 and check with each expression
6x + 11 =6(1) +11= 16
3(x + 7) = 3(1+7)= 3(8)= 24
2(3x + 16) = 2(3(1)+16)= 38 , we got same answer when x=1, now check with x=2
2(3x + 16) = 2(3(2)+16)= 44
3x + 16= 3+16= 19
