Answer:
Correct answer is <em>D. ASA</em>
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Step-by-step explanation:
Let us first define <em>ASA congruence</em> rule:
2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.
In the question figure, we can figure out following conclusions from Triangles
respectively:

- Side RS = Side WX
As per the definition of option d) ASA congruence, the triangles are congruent.
Answer:
The actual length of the lap = 250 meters
Step-by-step explanation:
∵ The scale factor of the map is 1:1000
∵ The length of the lap on the map is 25 cm
∴ 
Where x is the actual length of a lap
∴ x = (25 × 1000) ÷ 1 = 25000 cm
∵ 1 meter = 100 centimeter
∴ The actual length of the lap = 25000 ÷ 100 = 250 meters
A = π r^2
A = 9^2 <span>π
</span>A = 81<span>π
if using </span>π = 3.14 then
A = 3.14 x 81 = 254.47 ft^2
answer: 81π ft^2 or 254.47 ft^2
hope that helps
Answer:
x = 7.5
Step-by-step explanation:
Since we see that sides AD and DC are equal, as well as sides BE and EC, we can use this information to conclude that the value of 2x-7 is equal to double the value of DE.
2x - 7 = 4(2)
2x - 7 = 8
2x - 7 + 7 = 8 + 7
2x = 15
x = 7.5
The value of the <em>a, </em>in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
<h3>What is the solution of equation?</h3>
The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.
Nancy found that x=1 is one solution to the quadratic equation. The quadratic equation is,

For this equation, one solution is <em>x</em>=1. Put this value in the above equation to get the value of <em>a,</em>

Thus, the value of the <em>a, </em>in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
Learn more about the solution of the equation here;
brainly.com/question/21283540