Archie and Veronic are located one mile (5280 ft) apart on the ground. They observe a blimp directly over the road between them.

Answer:

Triangles would be congruent through ASA if Angle A is equal to Angle T.

Triangles would be congruent via AAS if Angle B matches Angle P.

Step-by-step explanation:

It is established that sides AC and TQ are congruent, along with angles BCA and PQT. If angles A and T are equal, we apply the ASA theorem. Similarly, if angle B equals angle P, we reference the AAS theorem.

Since only two options need to be selected, you can conclude your options there.

The average calorie count for chocolate pie pieces at a dining establishment is 350, with a standard deviation of 20. Due to imprecise pie slicing, calorie distribution follows a Normal distribution. What graph illustrates the percentage of pie pieces exceeding 375 calories? The z score is utilized to assess the number of standard deviations the raw score is from the mean. A positive z score indicates the raw score is higher than the mean, while a negative z score implies it is lower. The z score formula is: Given μ = 350 calories, σ = 20 calories, x > 375. The shaded portion of the graph indicates the proportion of pie pieces containing more than 375 calories. According to the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056 = 10.56%.

The blue line depicted in the attached image illustrates the reflection of f(x) across the x-axis. To elucidate, the function f(x) is an exponential function displaying the characteristics: the y-intercept calculates as f(0) = 6(0.5)⁰ = 6; the multiplicative rate of change is 0.5, signifying a decay function (decreasing); and the horizontal asymptote exists at y = 0, defining the limit of f(x) as x approaches positive infinity. The reflection across the x-axis for f(x) results in a function denoted as g(x) = -f(x), leading to g(x) reflecting the features discussed including growth into the third quadrant while never intersecting the x-axis. Therefore, using these insights, it is feasible to sketch the corresponding graph across the x-axis.

Answer:

Option C is the right choice.

Step-by-step explanation:

The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.

We know that rectangles possess four right angles.

To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.

In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem

In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem

Thus, we find that and option C is the correct choice.