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slega [8]
3 years ago
12

What is the measure of XY?

Mathematics
2 answers:
Sladkaya [172]3 years ago
7 0

y and z are the same so the answer is 90.

Phoenix [80]3 years ago
7 0
The answer should be 90
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Winter temperatures tend to be cold in the city of Johnstown. The table of values represents the temperature of Johnstown during
trapecia [35]

Answer:

Part A Part B Part C explained

Step-by-step explanation:

PART A: Extrema: relative minimums (4,-2) and maybe (7,-3) (uncertain because it’s an endpoint), relative maximums (6,0) and maybe (1,6) (uncertain because it’s an endpoint)

Zeros: (6,0), somewhere between t = 3 and t = 4 since the graph changes from positive to negative, and somewhere possibly between t = 6 and t = 7 unless the graph hits (6,0) and stays negative.

End behavior: We can guess that as x approaches infinity, the functions approaches negative infinity, and as x approaches negative infinity, the function approaches infinity.

Intervals of increase and decrease: Increasing on (4, 6), decreasing on (1, 4) and (6, 7)

PART B: The relative minimums indicate that the two lowest temperatures occurred on day 4 at -2°F and day 7 at -3°F. The relative maximums indicate that the weekly highs were day 1 at 6°F and day 6 at 0°F.

The zeros of the function represent when the temperature in Johnstown was 0°F. This happened sometime between days 3 and 4 and on day 6.

In the context of the problem, it doesn’t make sense to go an infinite number of degrees below zero. And, the end behavior is ignored because of the restricted range.

The intervals of increase indicate when the temperature is rising, and the intervals of decrease indicate when the temperature is dropping. The intervals where the values are positive indicate when the temperature is above 0°F. The intervals where the values are negative indicate when the temperature is below 0°F.

PART C: The domain is restricted to the number of days the town recorded the temperature. So, the domain is [1, 7].

The range represents the range of temperatures of Johnstown over the course of one week. So, the range is [-3, 6].

6 0
3 years ago
Victoria has a health care plan with a prescription benefit that offers four different options.
Furkat [3]

Answer:

OPTION B

Step-by-step explanation:

To solve, create a formula.

y= 5(copay)+premium

Using this you get:

Option A: 5(20)+55= $155

Option B: 5(15)+60= $135

Option C: 5(25)+65= $190

Option D: 5(30)+50= $200

8 0
3 years ago
the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang
yKpoI14uk [10]

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

To find:

The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

Perimeter=2(Length+Width)

We have,

Width = x cm

Length = (x+2) cm

Putting these values in the above formula, we get

Perimeter=2((x+2)+x)

Perimeter=2(2x+2)

Perimeter=2(2x)+2(2)

Perimeter=4x+4

Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.

6 0
3 years ago
Which of the binomials below is a factor of this trinomial 3x^2+18-21
KengaRu [80]

Answer:

A

Step-by-step explanation:

you will get 3(x-1)×(x+1) you can get the 3 and x by itself then it would be x+3

4 0
3 years ago
Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form
juin [17]

Answer:

Equation of line best fits the scatter plot is y = -\frac{30}{7} x + 108

Step-by-step explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m = \frac{y_2 - y_1}{x_2 - x_1} where (x_2,y_2) and (x_1,y_1) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = \frac{y_2 - y_1}{x_2 - x_1} = -\frac{30}{7}

Therefore equation of line best fits the scatter plot is y = -\frac{30}{7} x + 108

4 0
3 years ago
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