Answer:
ΔVZX and ΔWXZ are not congruent by SAS by the given information.
No, there is not enough information given.
The additional information for triangle to be congruent by SAS is given below.
Step-by-step explanation:
GIVEN:
1. VX = WZ = 40 cm and
2.m∠ZVX = m∠XWZ = 22°
3. VZ = WX ......{this additional information is required for triangles is to be congruent by SAS test}
Proof:
In Δ VZX and Δ WXZ
VZ ≅ WX …………..{additional information}
∠ ZVX ≅ ∠ XWZ ……….{measure of each angle is 22° given}
VX ≅ WZ ………….{length of each side is 40 cm given}
Δ ABC ≅ Δ PQR ….{By Side-Angle-Side test}
For SAS test, two sides of the corresponding triangles should be congruent and the angle between the two side. Then the triangles are said to be congruent by side angle side test.
Answer:
To make f continuous at ,
should be defined
Step-by-step explanation:
A function, let say , is defined at
is continuous at
If the limit of as
approaches
is equal to the value of
at
.
Mathematically it is written as:
if
then
is continuous at
.
So from the above definition, we conclude that:
To make f continuous at ,
should be defined
i.e.
if
then
is continuous at
.
Answer:
Step-by-step explanation:
Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.
Let x be the number of hours , then the total cost to create the logo plus is given by :-
A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.
The total cost to develop logo plus is given by :-
The equation to represent the costs would be the same is given by :_
Answer:
<h2>The answer is 0.23(approx).</h2>Step-by-step explanation:
The given die is a three sided die, hence, there are only three possibilities of getting the outcomes.
We need to find the probability of getting exactly 3s as the result.
From the sequence of 6 independent rolls, 2 rolls can be chosen in ways.
The probability of getting two 3 as outcome is .
In the rest of the 4 sequences, will not be any 3 as outcome.
Probability of not getting a outcome rather than 3 is .
Hence, the required probability is ≅0.2966 or, 0.23.