(20 POINTS) One side of a trapezoid is extended and the dotted line forms a right angle with the extended line.
Answers
Answer: p = 115* (degrees)
Explanation:What we know:
The trapezoid forms a right triangleThe right triangle has the angles 25*, 90*, and an unknownThe internal angles of a triangle add up to 180*The unknown value p is a supplementary angle to the right triangle's unknown angleHow to solve:
By finding the degree of the 3rd angle in the right triangle, we can use the rules of supplementary angles to find the value of p.
We will use D to represent the total amount of degrees, which will equal 180*. X will represent an unknown angle. An asterisk represents the degree symbol.
Process:Missing right triangle angle
Set up equation D = 25 + 90 + x
Substitute 180 = 25 + 90 + x
Simplify 180 = 115 + x
Isolate variable -115 -115
Solution 65* = x
Value of p using supplementary angles
Set up equation D = x + p
Substitute 180 = 65 + p
Isolate variable -65 -65
Solution 115* = p
Answer: p = 115*Check:
We can do a check based on estimation. Assuming that the trapezoid and triangle form a box with all 90* corners and that p = 115*, then adding p and all of the other trapezoid angles should result in 360*
Firstly, we need the values of these 4 angles.
The first angle, labeled p, should be 115*. If our equation is untrue, then this value will fail the check.
The second angle will be the one at the bottom-left, which is 90* according to our box statement.
The third angle is the one located at the bottom-right, which is also 90* from the box statement.
The fourth angle is not 90* or 115*, but we can solve its value.
Because we have stated that the right triangle and trapezoid form a box with 4 90* corners, the sum of the fourth angle and the 25* from the right triangle must form a right angle. Let's find the value:
D = 25 + x
90 = 25 + x
(90 = 25 + x) - 25
65* = x
Therefore, the fourth angle has 65*
Now, adding the degrees from all 4 angles should result in a total of 360*. If it does, then our value of p = 115* will pass the check.
D = 90 + 90 + p + x
360 = 90 +90 + 115 + 65
360 = 180 + 180
360 = 360
Therefore, p = 115*
Answer:
C
Step-by-step explanation:
A and B are out because we can already tell that 65 and 75 are smaller than the 90 degrees whichs this angle is even higher than.If you see or use a protrater you can see it seems more likely to 115 because 155 would be much more open.
Related Questions
What is the distance from the shore to the waterfall in the image of the koi pond shown below? All measurements are in yards. Round to the nearest hundredth if needed.
3 yards
99.72 yards
13.8 yards
6.43 yards
Answers
Answer:
6.43 yards
Step-by-step explanation:
a²+b²=c²
x²+5.4²=8.4²
x²+29.16=70.56
-29.16 -29.16
x²=41.4
x=6.43
20 hm = m
3,412 mm = km
0.25 m = mm
590 mg = g
75cm = m
12.5 m = km
8,808 cm = km
20 hm = mm
1,235g = kg
12 decimeters = dm
deka
20 L = mL
13.6 mL = L
Answers
Answer:
Step-by-step explanation:
20 hm = 2000 m
3,412 mm = 0.003412 km
0.25 m = 250 mm
590 mg = 0.59 g
75cm = 0.75 m
12.5 m = 0.0125 km
8,808 cm = 0.08808 km
20 hm = 2000000 mm
1,235g = 1.235 kg
12 decimeters = 0.12 dam
20 L = 20000 mL
13.6 mL = 0.0136 L
Hope this helps :)
Answer:
See below.
Step-by-step explanation:
Let's review the metric prefixes used in this problem:
m = 1/1000
h = 100
c = 1/100
k = 1000
da (deca) = 10
20 hm = 20 × 100 m = 2,000 m
3,412 mm = 3412/1000 m × 1 km/(1000 m) = 0.003412 km
0.25 m = 0.25 m × 1000 mm/m = 250 mm
590 mg = 590 mg × 1 g / (1000 mg) = 0.59 g
75 cm = 75 × m/100 = 0.75 m
12.5 m = 12.5 m × 1 km / 1000 m = 0.0125 km
8,808 cm = 8,808 cm × 1 m / 100 cm × 1 km / 1000 m = 0.08808 km
20 hm = 20 × 100 m × 1000 mm/m = 2,000,000 mm
1,235 g = 1,235 g × kg/(1000 g) = 1.235 kg
12 dm = 12 dm × 1 m / 10 dm × 1 dam / 10 m = 0.12 dam
20 L = 20 L × 1000 mL/L = 20,000 mL
13.6 mL = 13.6 mL × 1 L / 1000 mL = 0.0136 L
A __________ is the amount of energy needed to raise the temperature of one __________ of water, ________ degree celcius.
Write the correct words for those missing above (there are two possible correct answers).
Your answer:
Answers
Answer:
calorie, gram, 1
Step-by-step explanation:
this is what I know, good luck:)
Specific heat capacity is the amount of energy required to raise the temperature of 1kg of one degree of any substance ( including water) by one degree Celsius
Hope this helps xx
Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.
Growth factor Levels
Lighting Low, Medium, High, Very high
Age month, months, months, months, months
Temperature , , ,
She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?
Answers
Answer:
80
Step-by-step explanation:
For these types of counting problems, just multiply all of the levels.
For example, this would be
4 choices
5 choices
4 choices
Multiply 4*5*4, and you get 80.
Total number of ways of combining one level from each of the growth factors is equals to 80.
What is fundamental principle of counting?" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."
According to the question,
Number of growth factors =3
First growth factor: Lightening
Second growth factor: Age
Third growth factor : Temperature
As per the data given we have,
Number of levels in lightening 'm'= 4
Number of levels in age 'n'= 5
Number of levels in temperature 'p' =4
Substitute the value as per the definition of fundamental principle of counting
Total number of ways = m × n × p
= 4 × 5 × 4
= 80 ways
Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.
Learn more about fundamental principle of counting here
https://brainly.com/question/23905307
#SPJ2
List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches. find the area of the rectangle the square the triangle and the other rectangle
Answers
Answer:
The area of the square is x^2
The area of the triangle is x*height/2
The area of the rectangle is x*height of rectangle
X is the length of the square named C
You need to measure these yourself because we don't know whether these are to scale or not.
Step-by-step explanation:
What is your experimental probability for rolling at least one “1” when rolling two dice? SHOW YOUR WORK please(:
Answers
With one dice the chance of rolling a one is 1/6.
With two you have twice the probability, so its 1/3.
This is because there are 6 sides on a dice.
Please mark brainliest if this helped!
Answer:
The probability of rolling at least one 1 is 1/3
Step-by-step explanation:
When there is one dice the probability of rolling a '1' is 1/6
When you roll two dice, the probability of rolling a '1' increases, making it a 1/3 of rolling a one.
-I hope this helps!
Rectangle QUAD has coordinates Q(0,0), U(0,3), A(6,3), and D(6,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point D'?
Answers
Answer:
Step-by-step explanation:
Since the dilation is centered at the origin, we can multiply each of the coordinates by the scale factor. This gives us that D'(36,0).
PLS HELP! 15 POINTS!
Answers
Answer:
297
Step-by-step explanation:
3*3*3*11=297
How you find the area is by multiplying all of the sides
Please try your best and show your work and I will give brainliest!
The table below shows the number of pencils of each color for all 25 pencils in a box.
Pencils in the box
Color Number
Red 11
Blue 11
Green 3
The likelihood of an event occurring may be described as certain, more likely, equally likely, less likely, or impossible.
Part A:
A single pencil is drawn from the box. Describe the likelihood that the pencil is black. Explain your reasoning.
Part B:
The pencils have all been placed in the box. Compare the likelihood of drawing a red pencil to the likelihood of drawing a blue pencil from the box. Show your work and/or your reasoning.
* The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue or green. The likelihood of drawing a green pencil is now greater than the likelihood of drawing a red pencil, but less than the likelihood of drawing a blue pencil.
Part C:
How many colors of each pencil were added to the box. Explain how you know that your answer is the only possible outcome that meets all the conditions.
Answers
Answer:
Part A: impossible
Part B: Either equal or blue
Part C: 9 green and 2 blue were added
Step-by-step explanation:
Part A:
The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.
Part B:
I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.
Part C:
The least number of green colored pencils added has to be 9, because the chance of drawing a green pencil is now greater than the chance of drawing a red pencil. If we add 8 more green pencils, the likelihood would be the same. Therefore, the number of green colored pencils added has to be at least 9. If we have the last 2 colored pencils be blue, then there would be 11 red, 13 blue, and 12 green. This fits all the conditions, therefore, adding 9 green colored pencils and 2 blue colored pencils is the answer.
I hope this helps and please mark me as brainliest!
Answer:
just adding an answer so u can give the other person brainliest x btw thanks to the other person sm!
Step-by-step explanation:
Find the value of a and b so that f(x)=(x-5)(a㏒ₓ3-b)
Answers
Answer: :-p(x) = x⁴ - ax³ -3x² + 2x + bWe have to find the values of "a" and "b"Given :-(x+1) and (x-1)
The boys track team needs to keep a count of how many laps they run at practice so they know the distance. Each lap is 400 meters. What is the difference between the teammate who ran the furthest and the teammate who ran the least distance?
Answers
Answer:
9 laps or 3600 meters.
Step-by-step explanation:
First you want to find who has ran the furthest and the least distance.
So we have Rory ran the most with 14 laps or 5600 meters and Daniel who ran the least with 5 laps or 2000 meters.Next we subtract becuase when you say to "find the difference" it means to subtract.We subtract if you want to find the laps we do 14-5 and if you want to find the number of meters we do 5600-2000.
help me pleeeeeeeeeeeeeeeease
Answers
Answer:
n ≥ 29
She needs to do more than 29 pushups on the sixth day.
Step-by-step explanation:
First, we need to use the formula for finding the average. We currently have numbers for the first 5 days.
(22+26+21+25+27+n)/6 = 25
Multiply both sides by 6.
25*6 = 150
150-27-25-21-26-22=x
x=29
Since it is an inequality, Sarah needs to do more than 29 pushups on the sixth day.
Solve each equation. Show your work, 1. 5(y + 2/5) =-13
Answers
Answer:
-3
Step-by-step explanation:
5(y+2/5)=-13
5(y+0.4)
5y + 2 =-13
5y=-13+2
5y=-15
y=-15/5
y=-3
5(-3+2/5)=-13
For each ordered pair, solve the percent problems to find the coordinates. (x is 110% of 10 y% of 50 is 3.5).
Answers
Step-by-step explanation:
The value of x and y based on the percentages that are given will be 11 and 7.
How to calculate the percentage
Since x is 110% of 10. This will be;
= 110% × 10
x = 11
Since y% of 50 is 3.5. This will be:
y% × 50 = 3.5
y% = 3.5/50
0.01y = 3.5/50
y = 7
Therefore, it can be seen that value of x and y based on the percentages that are given will be 11 and 7.
Pls Help..............
Answers
Answer:
12
Step-by-step explanation:
V = l*w*h
V = 4*1.5*2
V = 12
Hope this helps :)
(25 POINTS) Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?
A. 1 and 6
B. 4 and 8
C. 3 and 7
D. 1 and 5
Answers
Explanation: 1 & 6 has different angle measurements. 6 is obviously bigger than 1 if we properly look at it.
Answer:
Answer is A.
Step-by-step explanation:
hi i need help can somebody answer this question and give an explanation
Answers
Answer:
0.30
Step-by-step explanation:
Each marker costs 30 cents each (0.30$)
you have to divide the amount of money (6) by the amount of markers (20)
6 ÷ 20= 0.30
Which of the following rates is the best deal on a box of cereal?
options:
$3.20 for 20 ounces
$4.50 for 25 ounces
$5 for 40 ounces
$6.50 for 20 ounces
Answers
Answer:
C. $5 for 40 ounces
Step-by-step explanation:
First, we need to find the unit rate for each deal.
To do this, we divide the price of the cereal box by the unit (ounces):
1. $3.20 for 20 ounces
3.20/20 = $0.16 for each ounce
2. $4.50 for 25 ounces
4.50/25 = 0.18 for each ounce
3. $5 for 40 ounces
5/40 = 0.13 for each ounce
4. $6.50 for 20 ounces
6.50/20 = 0.33 for each ounce
As you can see, the third one is the best deal, as it is the least expensive.
Hope this helps!
The MAD of the data set in the table is about 6.7. Does the value 4 deviate more or less than most of the values in the table? Explain.
Answers
Answer: 27
Step-by-step explanation: I know bc I am doing the test
maybe brainliest IF IT iS RIGHT;))
You resize a picture so that the radius of the midday Sun appears four times larger. How much larger does the circumference of the Sun appear?
The circumference appears (BLANK) times larger.
Answers
Answer:
The circumference appears four times larger.
Step-by-step explanation:
C=2πr
So if we are multiplying the radius (r) by 4 then that would most definitely increase the outcome (circumference) by 4
here's why:
C=2πr
C=2π(4r)
C=8πr
So,
8πr/2πr = 8/2 = 4
Hope this helps! ;)
Please help it’s a math question!!
Answers
Answer:
pentagon, octagon and heptagon.
Step-by-step explanation:
pentagon - five sides
hexagon - six sides
heptagon - seven sides
octagon - eight sides
quadrilateral - four sides
nonagon - nine sides
In this question, we have three polygons: pentagon, octagon and heptagon. (in order from left to right)
Hope this helps!
KA EASY- correct answers only thx :)
Answers
Answer:
B C
Step-by-step explanation:
not gonna bother, by examination
A small business spent $23,000 for taxable items last year. The tax was 9.5%. How much did the small business pay in taxes last year?
step by step please!!!!!!
Answers
to find the amount the business paid in taxes, you have to find 9.5% of $23000
9.5% is 0.095 as a decimal
multiply 23000 by 0.095 to get 2185
therefore, the business paid $2,185 in taxes last year
hope this helps!
Write the expanded form of the expression (using distributive property). -4(5x + 6)
Answers
Answer:
-20x - 24
you just multiply the factor on the outside by each on the inside.
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?
A. d = 0.75 m
B. d = 1 1 3 m
C. d = 3.5 m
D. d = 2.625 m
Answers
Answer:
3.5
Step-by-step explanation:
2 5/8 mi=21/8mi 3/12min=7/2min 7/2 as a decimal is 3.5
Can ya'll help me? I have tried to do it but I keep getting it wrong :(
Answers
Answer:
A: 4
Step-by-step explanation:
So first you can move the 2^-5 to the denominator, making the equation (2^2) (4^3) / (2^5) (2)
Then simplify the terms so you end up with (4)(64) / (32) (2)
Then multiply the denominator so you end up with (4) (64) / (64)
Since both the denominator and numerator have 64, those cancel out leaving you with 4
If you need more clarification feel free to ask
Answer:
A) 4
Step-by-step explanation:
Evaluating
(2⁻⁵)(2²)(4³)(2⁻¹)(2)⁻⁵⁺²⁻¹ x (2²)³(2)⁻⁴⁺⁶(2)²4This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 34.
What is the surface area of the image after the dilation?
185 5/8 m²
219 3/8 m²
247 1/2 m²
292 1/2 m²
Answers
Answer:
Explanation:
11x5=55
11x13=143
5x13/2=32.5
55+32.5+143=230.5
230x185 5/8 m²=42 693.75 m2
230x219 3/8 m²=50 456.25 m2
230x247 1/2 m²=56 925 m2
230x292 1/2 m²=67 275 m2
I DO NOT 100% KNOW IF THESE ARE CORRECT
Answer:
247 1/2 m 2
Step-by-step explanation:
have a good day
coach loren wants one number to describe how all of the values in the data set vary, so Kerry should tell her to use a measure of ______
a. center
b. quantity
c. distribution
d. variation
e. correlation
Answers
Answer:
variation?
Step-by-step explanation:
Can somebody please help me with this? Thank youuuu
Answers
Answer:
a. (5x+75)°
b. x = 21
c. X° = 21° and (4x+75)°= 159°
Step-by-step explanation:
A. Combine like integers.
B. (5x+75)°=180° Because they are suplementary angles.
5x°= 105°
5x ÷5 = 105 ÷ 5
x = 21
C. (4x + 75)°
4(21) + 75
84 + 75 = 159°
Im stuck on this one question
Answers
Answer:
8x+6 is less than or equal to 42
Step-by-step explanation:
Answer:
e
Step-by-step explanation:
Cameron pays $6 to rent shoes.
Cameron pays $8 per game.
Cameron has a limit of $42.
Expression: 8x + 6 [tex]\leq[/tex] 42
Cameron must spend less than or equal to $42.
hope this helps :)