Alonzo and miguel scored a total of 54 points in the basketball game. miguel scored four more points than alonzo. write and solve a pair of simultaneous linear equations that represents the situation. interpret the solution.

We will call A and M the scores obtained by Alonzo and Miguel respectively

A + M = 54 (Alonzo and Miguel scored a total of 54 points) Equation 1

M = A + 4 (Miguel scored four more points than Alonzo) Equation 2

We will substitute the value of M for the second equation in the first equation.

A + A + 4 = 54

2A = 54 - 4

A = 50/2 = 25 points (Alonzo scored this.)

M = A +4 = 25+4 = 29 points (Miguel scored this.)

Answer : Alonzo scored 25 points and Miguel scored 29 points

Checking

A + M = 25 points + 29 points = 54 points Check !

Hope this helps!

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: