Answer:
A
Step-by-step explanation:
Answer:
10.5 inches
Step-by-step explanation:
The length of the longest diagonal is across two opposite points of the solid, namely
L = sqrt ( 6^2 + 5^2 + 7^2)
= sqrt (36+25+49)
= sqrt(110)
= 10.5"
Answer: the perimeter of the shape is 19.1
Step-by-step explanation:
To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side
For line AD,
AD² = 2² + 4² = 4 + 16 = 20
AD = √20 = 4.47
For line AB,
AB² = 1² + 5² = 1 + 25 = 26
AB = √26 = 5.1
For line BC,
BC² = 2² + 4² = 4 + 16 = 20
BC = √20 = 4.47
For line CD,
CD² = 1² + 5² = 1 + 25 = 26
CD = √26 = 5.1
The perimeter of a plane figure is the distance around the figure. Therefore
Perimeter = AB + AB + BC + CD
Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =
19.1
From the figure, segment QP is in the ray RP and RP contains N and Q in between
so from the options, the two rays will be : ray QP and ray NP
For SU :
segment SU is in the ray RU and RU contains S and T in between,
so from the options again, the two rays will be : ray RU and ray SU
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence
