Answer:
Yes, they are congruent by SAS postulate.
Step-by-step explanation:
Let us first name the vertices of both the triangles.
The labelled diagram is shown below.
Consider the triangles ABC and ACD
Statements Reasons
1. BC ≅ AC Given
2. ∠ ACB ≅ ∠ CAD Given
3. AC ≅ AC Common sides are congruent due to Reflexive property
As two corresponding sides and the included angles between them are congruent, therefore the two triangles are congruent by SAS postulate.
So, we can conclude that the given triangles are congruent.
Answer: Yes
Step-by-step explanation: got it wrong and told me the correct answer
<u>Answer:</u>
The correct answer option is D. 
.
<u>Step-by-step explanation:</u>
We are to find the equation of a line which is perpendicular to the following line and passes through the point (3, 4):
We know that an equation perpendicular to another equation has a slope which is the negative reciprocal of the first equation.
So our required slope is 
Finding the y-intercept:
Therefore, the equation of the line perpendicular to and passing through the point (3, 4) is .
Answer:
Step-by-step explanation:
The diagram shows right triangle with hypotenuse of 15 units and angle of 30°. This angle is opposite to the leg with length of x units.
In the right triangle, the leg opposite to the 30° angle is half of the hypotenuse, so
Answer:
The expression showing how many more meters Mathieu ran than Edgar ran during that time is 
.
Step-by-step explanation:
Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.
The expression describes how many more meters Mathieu ran than Edgar ran during that time.
We can also use the expression 
represent the same quantity.
We know that,
Distance covered by Edgar = te
Distance covered by Mathieu = tm
Difference in distance 
The expression showing how many more meters Mathieu ran than Edgar ran during that time is .
