Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.
Answer:
90°, 78°, 12°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then
x + 7x - 6 = 90
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Then
second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 90°, 78°, 12°
5. Below is the data from randomly sampling 100 students in two different cities
regarding their favorite type of music.
City Pop Rock Rap Country
More students like rock in Hill than in Clark.
Hill
15
47
21
17
Clark 13
5
20
62
About the same number of students like rap in both cities.
е E
Which of the following inference can NOT be made based on the data above?
If more students were polled, the results would not change.
Most students like rock in Hill, but most students like country in
Clark.
Answer:
C
Step-by-step explanation:
What is the answer to this question?:
17a - 2a + 5 - 2
Answer: 15+3
Step-by-step explanation:
How do I find the range of a function (no links)
To make sure there is enough space for the donuts, Dave wants to add 2 inch to the minimum length, width, and height of the box. Including the additional space, what should be the length, width, and height of the new box, in inches? Enter each answer in a separate response box.
The new length, width, and the height are (L+2) inches, (W+2) inches, and (H+2) inches respectively
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.
Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space.
So the new length = (L+2) inches
New width = (W+2) inches
New height = (H+2) inches
Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.
Learn more about the cuboid here:
brainly.com/question/9740924
#SPJ2
Two triangles are congruent if one angle of one triangle is equal in measure to the corresponding angle of the other triangle.
True or False
Answer true
Step-by-step explanation:
Answer:
Correct option is
False
Even though all the corresponding angles of the two triangles are equal, the corresponding sides may not be equal.
Hence, the two triangles are not congruent.
The given statement is false.
How do you write 4.789x10^7 in standard form?
Answer: 47890000
Step-by-step explanation:
4.789*10^7=4789*10^4=4789000
Answer:
47,890,000
Step-by-step explanation:
Which power of 10 should be in the to make the equation true?
73.4: = 00.734
Answer:
-2 power.
Step-by-step explanation:
A four foot tall girl cast a shadow of 6 feet. A shade tree cast a shadow of 24feet. What is the height of the tree?
A. 13
B. 12
C. 16
D. 20
How many cubes with side lengths of
1
2
cm
2
1
cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
question:
How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
Step-by-step explanation:
81 cubes are needed to fill the prism
Step-by-step explanation:
Volume of prism = 3 cubic units
Side lengths of cube = 1/3
Therefore the volume of the cube is,
V = a³ (a = side of the cube)
V = 1/3 × 1/3 × 1/3
= ( 1/3 )³
= 1/27 cubic units
To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.
Number of cubes to fill the prism= Volume of prism / Volume of cube
= 3÷1/27
=3×27/1
= 81
Therefore, 81 cubes are needed to fill the prism
Solve for x
pls pls help
Answer: i would say 16 so b 16
Step-by-step explanation:
Show your work to solve me following. Will give Brainliest
Answer:
X = -32/11
Step-by-step explanation:
A rectangular prism has a length of 4.5 cm, a width of 10 cm, and a height of 2.5 cm. What is the volume of the prism?
11.25 cm3
17 cm3
112.5 cm3
1,125 cm3
Answer: 112.5 cm3
Hope that helped!
Answer:
the answer is 112.5 cm3
Step-by-step explanation:
on edg
Patti records the heights and the shoe sizes of the girls on her volleyball
team. She plots the data and makes a scatterplot comparing shoe size and
height. Patti finds that the trend line that best fits her results has the equation
y= 2x + 52.
If a girl on her team wears a size 3 shoe, how many inches tall would Patti
expect her to be?
A. 58 inches B. 60 inches. C. 64 inches D. 62 inches
Answer:
58 inches
Step-by-step explanation:
Just did it
Answer:
( A ) p 3 x
Step-by-step explanation:
A cylinder has a height of 4.5 centimeters and a diameter of 1.5 centimeters. Which would be the net of the cylinder?
Answer:
24.73cm^3
Step-by-step explanation:
What is the difference between
x2 . x? and (x2)
Answer: 2x and x2 are the same
Step-by-step explanation:
Which side lengths form a right triangle?
Answer:
a is the answer
hope this will help you
Identify the question that is NOT statistical
The Langs family drove 225 miles to a beach. Most of their travel was on interstate highways. The Langs drive 65 miles per hour on the last 45 miles of their trip. On average, the Langs traveled 20 miles on one gallon of gas. The gas tank on the Langs' car holds 15 gallons of gas. The Langs had a full tank when their trip began. How many times did they stop to refill the tank before they reach the beach
Answer:
Step-by-step explanation:
please help me! (please no links!)
Answer:
a.
Step-by-step explanation:
John is going to make chocolate squares to sell. There are just three ingredients, chocolate, peanut butter and crisped rice, mixed in the ratio 4:2:3 respectively. A bar of chocolate weighs 200g and costs £2.50. A jar of peanut butter contains 250g and costs £1.70. A packet of crisped rice contains 300g and costs £2.00. John makes 4.5kg mixture, which he can cut 100 chocolate squares. He charges 60p for each square and sells all 100 squares. How much profit does he make
Answer:
£18.2
Step-by-step explanation:
4.5 kg = 4.5 * 1000 = 4500 g
Sharing in the ratio :
Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively
Sum of ratio = (4 + 2 + 3) = 9
Chocolate = 4/9 * 4500 = 2000 g
Peanut butter = 2/9 * 4500 = 1000 g
Crisped rice = 3/9 * 4500 = 1500 g
1 bar of chocolate = 200 g at 2.50
2000/ 200 * 2.50 = £25.0
1 jar of peanut butter = 250 g at 1.70
1000 / 250 * 1.70 = £6.8
1 packet of crisped rice = 300g at 2
1500 / 300 * 2 = £10
Total cost of ingredients = £(25+6.8+10) = £41.8
Number of pieces of chocolate squares made = 100
Selling price per square = 60p = £0.6
Total revenue made = £0.6 * 100 = £60
Profit realized = £(60 - 41.8) = £18.2
I need help what do I do.?
Answer:
angle 17 is 90°.
Step-by-step explanation:
every angle there is a right angle and a right angle is 90°.
Have a nice day! :-)
What is the volume of this figure?
Answer:
1920
Step-by-step explanation:
I'm just doing it my way because it feels easier, but multiply 14 x 20 x 8 to get the volume of the entire figure.
Then we subtract that box of air which is 10 x 4 x 8.
So 14 x 20 = 280
280 x 8 = 2240
Then we find the volume of the missing part which is
10 x 4 = 40
40 x 8 = 320.
We get 2240 - 320 = 1920
Remember kids, wear your masks!
Can you guys help me
Answer:
B
Step-by-step explanation:
YOu have 1 and 5 two numbers you but the 2 over the 6 and you get 2/6 simplify that and you get 1/3 which is B
-5/6x-7/30x+1/5x-52 please help me guys cuz imk not good with math
Answer:
[tex]\frac{-13}{15} x-52[/tex]
Step-by-step explanation:
[tex]\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52[/tex]
[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]
Combine Like Terms:
[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]
[tex]=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)[/tex]
[tex]=\frac{-13}{15}x+-52[/tex]
Therefore, [tex]\frac{-13}{15}x+-52[/tex] will be your final answer.
imli has 5 bushels of oats she wants to pour all of the oats into boxes that each hold 1 peck how many boxes will she need? ( 4 pecks = 1 bushel)
Answer:
20
Step-by-step explanation:
4 x 5 = 20
how do you find the perimeter of a half circle
Answer:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Step-by-step explanation: .
Answer:
πr
Step-by-step explanation:
We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,
=> 2πr/2
=> πr
Hence the required answer is πr .There is a bubble gum blowing contest, Mary blew 4 bubbles, Sophia blew 5 bubbles, and Jada blew 6 bubbles. If the mean in the data set is 4, find the number of bubbles Hannah blew.
If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps
Answer:
x = 13/12
Step-by-step explanation:
explain on image
I need help getting the answer could you help me by chance to receive brainlest!?