Answer:
C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.
Since these are isosceles triangles, the base angles are the same:
m∠R = m∠T = m∠A = m∠C
Therefore the congruency statement can be written two different ways.
ΔABC ≅ ΔRST
ΔABC ≅ ΔTSR
Both statements could be correct.
Choosing between B) and C):
To move ΔABC to where ΔRST or ΔTSR is, you could either:
i) Translate 6 units to the left, and translate 3 units down
ii) Reflect across the y-axis, and translate 3 units down
It can be the result of two translations or a reflection and a translation.
In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.
Answer:
The value of x for the given expression is 
Step-by-step explanation:
Given as :
The statement is , three fourths times x plus five fourths equals four times x
So, 
× x + 
= 4 × x
<u>Now, rearranging the equation</u>
i.e 4 x - × x =
Or, 4 x - 
=
Or, 
=
Or, 
=
Or, 13 x = × 4
Or, 13 x = 5
∴ x =
Hence, The value of x for the given expression is Answer
Answer:
option C. Angle BTZ Is-congruent-to Angle BUZ
Step-by-step explanation:
Point Z is equidistant from the vertices of triangle T U V
So, ZT = ZU = ZV
When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ
When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT
When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU
From the figure ∠BTZ is the same as ∠UTZ
And ∠BUZ is the same as ∠TUZ
So, the statement that must be true is option C
C.Angle BTZ Is-congruent-to Angle BUZ
Darryl:
Answer:
A = $1,905.00
(I = A - P = $405.00)
Equation:
A = P(1 + rt)
Lori:
Answer:
A = $1,932.00
(I = A - P = $532.00)
Equation:
A = P(1 + rt)
Thus $532-$405= $127 more in Lori's account
