Step-by-step explanation:
Given
( - 5, -5) and ( 3 , 7)
Slope (m)
= (y2 - y1) / (x2 - x1)
= ( 7 + 5) / (3 +5)
= 12/8
= 3/2
Answer:
The slope is 1.5
Step-by-step explanation:
7 + 5/3+5 = 1.5
Rectangle QRST is shown. Angle QRT is congruent to angle STR, and angle STR is complementary to angle QTR. A rectangle has corner points Q, T, S, R from top left going clockwise. A line cuts through the rectangle from R to T. Which statement is true about angles QRT and QTR? They are congruent. They are complementary. They are supplementary. They are right angles.
Answer:
They are complementary.
Step-by-step explanation:
I made a small visual (mainly so I could visualize it but I figured it might help you too).
Since QRT is congruent to STR, QTR and SRT are also congruent.
Therefore, since STR is complementary to QTR, and STR is congruent to QRT, QTR must be complementary to QRT due to the transitive property.
The angles QRT and QTR are complementary (sum up to 90°)
What is an angle?An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and right angled.
In triangle QRT:
∠QRT + ∠QTR + ∠TQR = 180° (angle in a triangle)
90 + ∠QRT + ∠QTR = 180
∠QRT + ∠QTR = 90°
The angles QRT and QTR are complementary (sum up to 90°)
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Felicia has a garden in the shape of a parallelogram as shown. What is the area of her garden?
O 72 ft²
O 75 ft²
O 92 ft²
O 96 ft²
Answer:
72 ft²
Step-by-step explanation:
base=9
height=8
9*8=72
Area of parallelogram= base*height
Answer:
O 72 ft²
Step-by-step explanation:
Formula for Area of a Parallelogram:
[tex]A = bh[/tex]
The base (b) is 9 ft.
The height (h) is 8 ft.
[tex]A = 9 * 8\\A = 72[/tex]
Two cards are randomly chosen, one at time, from a standard deck of 52 playing cards without replacement. What is the probability both cards will be an Ace? A. B. C. D.
Answer:
C
Step-by-step explanation:
I remember the answer
A rectangular prism with a length of 5 centimeters, height of 3 centimeters, and width of 4 centimeters. The rectangular prism shown has a length of 5 cm, a height of 3 cm, and a width of 4 cm. What is the surface area of this prism? square centimeters
Answer:
94cm squared
Step-by-step explanation:
you find the area of each side by doing base times height and you add the six of them all together to get your answer
Answer:
94 cm
Step-by-step explanation:
PLEASE HELP ASAP.
The difference of 3 times a number and 15 is no less than the square of the number.
Select the inequality that represents this relationship.
P
Answer:
d
Step-by-step explanation:
A six-sided number cube is labeled with the numbers 1-6, one number on each face. Each number is used exactly once. How
many possible outcomes exist when the cube is rolled two times?
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Save and Exit
Next
Submit
Mark this and return
Answer:
30 possible outcomes
Step-by-step explanation:
The total number of outcomes is found by multiplying the number of possiblities of each number cube together (6*6) which is 36. You now need to remove the double, which there are six of them. So subtract 6 from 36 to get 30.
answer this question on the following page below
First, she needs to find her resting heart rate by counting her pulse for one minute immediately after she wakes up for 5 days in a row. She finds her average resting heart rate to be 62 after
5 days and she remembers the last day's pulse was 58 and all the others were the same. Write and solve an equation to find what her pulse was on all the other days. Justify your answer by showing your steps. Put in Simple equation
Answer:
63
Step-by-step explanation:
She finds her average resting heart rate to be 62 after 5 days.
That means, average of the 5 heart rate pulse=62
If the last day was 58 and all the other days were the same.
Let x be her pulse on the other days,
Then,
[tex]Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63[/tex]
Her pulse on all the other days is 63.
The diagram shows a regular pentagon with side length 5. Expiuleue
area of this pentagon by following these steps.
✓ 1. Press Continue to partition the pentagon into five congruent
triangles.
✓ 2. Press Continue to draw an apothem with length a.
3. Based on the variables on the diagram, how can the area of the
shaded triangle be determined?
Area =
Answer: (1.) 1/2sa
(2.) 5
(3.) Perimeter
Step-by-step explanation: just completed
The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
A) y=-2^3
B) y=-6x^3
C) y=2x^3
D) y=6x^3
Answer:
b
Step-by-step explanation:
Option B is correct. Equation B represents the transformed function. The following equation is observed from the graphs.
What is a function, exactly?It's a unique kind of connection with a predetermined domain and range, and every value in the domain is associated to exactly one value in the range, according to the function.
The given equation is,y=x³
The equation B represents the transformed function.
Hence, option B is correct.
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In circle C major arc ADB is represented by 4x + 50
a) type the equation needed to solve for x
B) what is the value of x in the diagram
Please help!
Answer:
x = 50
Step-by-step explanation:
[tex] m\angle ACB = m\overset {\frown} {AB} \\
\therefore m\angle ACB = 110°\\
\therefore m (reflex\angle ACB) = 360°- 110°\\
\therefore m (reflex\angle ACB) = 250°\\
Now \\
m\overset {\frown} {ADB}= m (reflex\angle ACB) \\
\therefore (4x + 50)°= 250°\\
\purple {\boxed {\bold {\therefore 4x + 50= 250}}} \\
(which\: is \: required\: equation) \\
\therefore 4x = 250-50\\
\therefore 4x = 200\\
\therefore x = \frac{200}{4}\\
\huge \red {\boxed {\therefore x = 50}} \\[/tex]
A) The equation needed to solve for x is [tex]4x + 50 = 250[/tex]. B) The value of x in the diagram is 50.
To solve the problem, we need to understand the relationships between the different parts of the circle and the given information.
Given:
[tex]\( \text{Measure of major arc ADB} = 4x + 50 \)[/tex]
[tex]\( \text{Measure of minor arc AB} = 110^\circ \)[/tex]
The total degrees in a circle = [tex]\( 360^\circ \)[/tex]
A) Type the equation needed to solve for x:
Since the sum of the measures of the minor arc AB and the major arc ADB must equal [tex]\( 360^\circ \)[/tex]:
[tex]\[\text{Measure of minor arc AB} + \text{Measure of major arc ADB} = 360^\circ\][/tex]
[tex]\[110^\circ + (4x + 50) = 360^\circ\][/tex]
[tex]4x + 50 = 250[/tex]
B) Solve for x:
First, set up the equation:
[tex]\[110 + 4x + 50 = 360\][/tex]
Combine the constant terms on the left side:
[tex]\[160 + 4x = 360\][/tex]
[tex]\[4x = 200\][/tex]
Divide both sides by 4:
[tex]\[x = 50\][/tex]
The complete question is:
In circle C major arc ADB is represented by 4x + 50.
A) Type the equation needed to solve for x.
B) What is the value of x in the diagram?
Evaluate the expression when x=-6.
x² + 5x-5
Answer:
1
Step-by-step explanation:
x² + 5x-5
Let x = -6
(-6)^2 + 5(-6) -5
36 -30 -5
6-5
1
To evaluate the expression x² + 5x - 5 for x=-6, substitute -6 into the expression and follow the order of operations to obtain a result of 1.
Substitute -6 for x in the expression, which gives us (-6)² + 5(-6) - 5.Calculate the square of -6, which is 36.Multiply 5 by -6, which is -30.Add these results and subtract 5: 36 - 30 - 5 = 1.Therefore, the value of the expression when x = -6 is 1.
Hey y’all please help me with this
Answer:
-12
Step-by-step explanation:
I try to think of it as how many steps would I need to get to zero
-12 would take 12 steps to get to 0
7 would take 7 steps to get to 0
-9 would take 9 steps to get to 0
1 would take 1 step to get to 0
-12 would take the most steps to get to 0 so it is the farthest from 0 on the number line
Which pyramid has a volume of 64 cubic inches?
A. Neither
B. 1
C. Both
D. 2
solve the following: 2x-7/4=x+3/3
Answer:
[tex]x=16\frac{1}{2}=16.5[/tex]
Step-by-step explanation:
[tex]\frac{2x-7}{4}=\frac{x+3}{3}\\ \\3(2x-7)=4(x+3)\\\\6x-21=4x+12\\\\6x-4x=12+21\\\\2x=33\\\\x=33/2\\\\x=16\frac{1}{2}[/tex]
An observer at the top of a skyscraper sees a car on the road below. The angle of depression to the car is 29°. If the car is about 62 m from the skyscraper when it is seen, how tall is the skyscraper?
The height of the skyscraper is 34.4m
Step-by-step explanation:
Let the height of the skyscraper be 'h'
Distance between the skyscraper and the car = 62 m
Angle of depression = 29°
Angle = 61°
tan 61° = 62/h
1.80 = 62/h
h = 62/1.80
h = 34.4m
The height of the skyscraper is 34.4m
*2.6-(5.85)
Evaluate It
Answer: -3.25
Step-by-step explanation:
2.6-(5.85)
remove parentheses
2.6-5.85
answer: -3.25
Frank averages a speed of 19 miles per hour during his bike race. The race is 60 miles long.
Answer:
3 hours and 16 minutes or 3.16 for Frank to finish the race
Step-by-step explanation:
60 miles long Frank is going 19 miles an hour
60 divided by 19 3.157 rounded up 3.16
Using the distance and speed, we calculate the time it takes for Frank to complete the bike race. He averages a speed of 19 miles per hour for a 60-mile race, which means it will take him approximately 3.16 hours to finish.
Explanation:This question is about solving a typical problem in math - specifically, calculating time with information on distance and speed. To figure out how long it would take Frank to finish the 60-mile bike race, we use the formula Time = Distance / Speed. Given that Frank averages a speed of 19 miles an hour, we divide the total distance (60 miles) by his average speed (19 mph).
So, 60/19 ≈ 3.16. That means Frank will take approximately 3.16 hour to complete the bike race.
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If a line is 10 feet long but needs to be reduced to 80% of its original, how long will the new line be?
Answer:
8 feet
Step-by-step explanation:
Each side of a regular pentagon is represented by 4x + 7. Which expression represents the perimeter of the hexagon?
A) 24x + 42
B) 20x + 35
С) 9x + 12
D) 55x
Tickets for the concert cost $47 each. There is also a $5.95 service fee for each ticket. Bernie's aunt buys tickets for 5 people. How much money does she spend in all?
Answer:
$264.75
Step-by-step explanation:
47*5=235
5.95*5=29.75
29.75+235=264.75
(Can i get the Brainliest?)
Answer:
$264.75
Step-by-step explanation:
You multiply 47 to 5, because it's 5 tickets and $47 each. You should get $235. Then, you multiply 5 and 5.95. you should get $29.75. Then you add 29.75 to 235. Your final answer is $264.75.
what is 7 + 7 + 7 +7 +7 = ???
Answer:
35
Step-by-step explanation:
There are 5 sevens. All you have to do is multiply 7 and 5 and you will get 35.
Mark me Brainliest Please!
What is the value log5 25?
Answer:
2
Step-by-step explanation:
You can think of logarithms as a rewritten exponent.
So exponents are in the form of a^b=c
Logarithms are [tex]log_a c=b[/tex]
Here, we have [tex]log_{5} 25[/tex]
Basically we have to figure out 5 to the power of what is 25.
So our answer is 2.
5^2=25
The value of log5 25 is 2, as 5 to the power of 2 equals 25.
The value of log₅ 25 is determined by asking the question: 'to what power do we need to raise 5 to get 25"
Since 5 squared is 25 (5² = 25).
The power of 5 is 2.
Therefore, log₅ 25 = 2
please help me with this problem
Answer:
-3
Step-by-step explanation:
Negative reciprical
if Anna has one donut and her friend Priya gives her a dozen more how much does she have all together.
Which sentence illustrates the Inverse Property for Multiplication?
A. 6 + (-6) = 0
B. 1/6 x 6 = 1
C. 1 x 6 = 6
D. 1 x 6 = 6 x 1
Answer:
the answer is .143728353
Step-by-step explanation:
answer
The coordinate plane shows dig sites for archaeological research. Each unit on the grid represents 1 square foot. What is the distance from Site A to Site C?
Answer:
25
Step-by-step explanation:
The distance between the two points A and C is 25 units.
What is coordinate geometry?A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.
Given points are (5, 20) and (25,5). The distance between the points will be calculated as below:-
D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]
D = √ [ ( 25 - 5 )² + ( 20 - 5)² ]
D = √ ( 400 + 225 )
D = 25 units
Therefore, the distance between points A and C is 25 units.
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In the diagram, DC is tangent to the circle, AC = 12 cm, and BD=2134 cm. Find AD.
A. 10 cm
B. 12 cm
C. 2/61 cm
D. 130 cm
PLEASE HELP I ONLY HAVE 14 MINS LEFT!!!
Answer:
0 and 0.695
Step-by-step explanation:
0=(0.695)- 14= 0.95
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.
Answer:
So when two lines intersect, it creates 4 angles. The angles that lie opposite to each other are congruent
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
Step-by-step explanation: