Answers
Answer:
The equation to find [tex]x[/tex] is [tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex].
The degree measure of each angle is: [tex]m\angle J = 113^{\circ}[/tex], [tex]m\angle K = 44^{\circ}[/tex] and [tex]m\angle L = 23^{\circ}[/tex].
Step-by-step explanation:
From Euclidean Geometry we remember that the sum of internal angles in triangles equals 180°. If we know that [tex]m\angle J = (5\cdot x -2)^{\circ}[/tex], [tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex] and [tex]m\angle L = x^{\circ}[/tex], then we construct the following equation of the triangle JKL in function of [tex]x[/tex]:
[tex]m\angle J + m\angle K + m\angle L = 180^{\circ}[/tex] (1)
[tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex]
[tex]8\cdot x -4 = 180^{\circ}[/tex]
[tex]8\cdot x = 184[/tex]
[tex]x = 23[/tex]
Finally, the measure of each angle is, respectively:
[tex]m\angle J = (5\cdot x -2)^{\circ}[/tex]
[tex]m\angle J = 113^{\circ}[/tex]
[tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex]
[tex]m\angle K = 44^{\circ}[/tex]
[tex]m\angle L = x^{\circ}[/tex]
[tex]m\angle L = 23^{\circ}[/tex]
Related Questions
How many more students read exactly 6 books than those who read less than 4 books?
Answers
Answer: 1
question 7 ! I don’t understand some one explain
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Answer:
4x +8 -x + 10 = x+4
3x+18= x+4
2x= -14
×=-7
The angle measurements in the diagram are represented by the following expressions
Answers
Answer:
x = 8 , ∠ B = 70°
Step-by-step explanation:
∠ A and ∠ B are alternate exterior angles and are congruent, that s
8x + 6 = 4x + 38 ( subtract 4x from both sides )
4x + 6 = 38 ( subtract 6 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Then
∠ B = 4x + 38 = 4(8) + 38 = 32 + 38 = 70°
Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.
Answers
Answer: a^+b^2=n^2
Step-by-step explanation:
The equation for triangle 2 will be: a² + b² = n².
What is Pythagorean theorem?
Pythagorean theorem states that for a right-angle triangle, the sum of the squares of the base and the height is equal to the square of the hypotenuse of that triangle.
Here, the angle between side: a and side: b is a right-angle.
Therefore, we can consider side: a as the height and side: b as the base of the triangle.
Therefore we can write as per the Pythagorean theorem:
(Base)² + (Height)² = (Hypotenuse)²
Hence, a² + b² = n²
Learn more about Pythagorean theorem here: https://brainly.com/question/23936129
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Giving brainlist to whoever answers
Answers
Answer:
132.7
Step-by-step explanation:
Explanation:
V = a^3
V=5.1^3
= 132.65 but you want to round to nearest which would be 132.7in^3
Lindsay got her haircut the cost of a haircut for $16 if she wants to tip for hairstylist 20% how much does she leave for the tip
Answers
Answer:
$3.20
Step-by-step explanation:
I hope this helps.
Sorry if I'm wrong.
Can someone explain this plss
will mark branliest.
tyyyy <3
Answers
Answer:
H and J are not true
Step-by-step explanation:
H) 12/65 ≠ 55/300
J) 11/65 ≠ 60/400
what is x? pls help
Answers
Answer:
150°
Step-by-step explanation:
By inscribed angle theorem:
[tex]x = 2 \times 75 \degree \\ \\ x = 150 \degree[/tex]
57:23
A medical researcher has two petri dishes containing viruses. Dish B has a population density of 1.2 viruses per square
millimeter. Dish A has an area of about 2,826 square millimeters
If both petri dishes have the same population density, approximately how many viruses are in Dish A?
O
O
O
O
2,355 viruses
3,391 viruses
23,550 viruses
33,912 viruses
Save and Exit
Neyli
Submit
Mark this and retum
Answers
Answer:
the number of viruses are in Dish A is 3,391 viruses
Step-by-step explanation:
The computation of the number of viruses are in Dish A is shown below:
Since there are 2826 square milimeters area
And, the population density of 1.2 viruses per square
So, the number of viruses in Dish A is
= 2826 × 1.2
= 3,391.2v viruses
Hence, the number of viruses are in Dish A is 3,391 viruses
The answer is B. 3,391 viruses
Good luck :)
HELP PELASEKDMDDJJDDJD
Answers
Answer: A line segment
Explanation:
Since the line is straight, line segment for me. Hope it helps!
Answer:
A line
Step-by-step explanation:
Roughly, we can say that a line is an infinitely thin, infinitely long collection of points extending in two opposite directions. When we draw lines in geometry, we use an arrow at each end to show that it extends infinitely.
Please help me. I am confused.
Answers
Answer:
Step-by-step explanation:
100% - 75% = 25% = 0.25
x² = 16² × 0.25 = 64
x = 8
can someone explain how to do this?
Answers
Answer: a - parallel b - neither c - neither d - perpindicular
Step-by-step explanation:
P is the incenter of △JKL. Find m∠JKP.
& can you please explain
Answers
Answer:
∠JKP = 35°
Step-by-step explanation:
since P is the incenter, then lines to incenter bisect the corner angles:
7x - 6 = 5x + 4
subtract 5 x from both sides of the equation:
2x - 6 = 4
add 6 to each side:
2x = 10
divide both sides by 2:
x = 5
∠KJP = 7(5) - 6 = 29°
∠LJP = 5(5) + 4 = 29°
then ∠KJL = 29° + 29° = 58°
∠KLJ = 26° + 26° = 52°
∠JKL = 180° - 58° - 52° = 70°
∠JKP = 1/2 ∠JKL = 1/2(70°) = 35°
there might be a more direct way about it but this was the least confusing way I know to explain it.
the are of the trapezoid is 24 Square km . What is the height?
2km
4km
16km
5km
Answers
Answer:
4
Step-by-step explanation:
9+3=12
12x1/2=24
24/6=4
h=4
Height of trapezoid is,
⇒ h = 4 km
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The area of the trapezoid is 24 Square km.
We know that;
Area of Trapezoid = (a + b) h / 2
Here, A = 24 km² , a = 3 km , b = 9 km
Hence, We get;
24 = (3 + 9) h / 2
48 = 12h
h = 48 / 12
h = 4 km
Thus, Height of trapezoid is,
⇒ h = 4 km
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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Consider circle N with radius 30 cm and Theta equals StartFraction pi Over 6 EndFraction radians.
Circle N is shown. Line segments L N and M N are radii with lengths of 30 centimeters. Angle L N M is theta.
What is the approximate length of minor arc LM? Round to the nearest tenth of a centimeter.
12.4 centimeters
15.7 centimeters
31.4 centimeters
36.7 centimeters
Answers
Answer:
B) 15.7 centimeters
Step-by-step explanation:
Answer:
15.7
Step-by-step explanation:
Find the Value of x.
Answers
Answer:
110
Step-by-step explanation:
35 + 35 = 70
180 - 70 = 110
If a solid has faces that consist of a pair of congruent hexagons and 6 congruent rectangles, what type of solid is it?
Answers
Answer:
Hexagonal Prism
Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
and had 1.35 ounces left in total. Which describes a way to determine the number of ounces
sold in each tube of glue?
Divide 1.35 by 3 and then subtract 0.27 from the quotient.
Solve for in the equation 3 (x - 0.27) = 1.35.
Solve for x in the equation 3x - 0.27 = 1.35.
Subtract 0.27 from 1.35 and the divide the difference by 3.
Answers
Answer:
The answer is (A)
Step-by-step explanation:
:D
Answer:
Solve for in the equation 3 (x- 0.27)= 1.35
Step-by-step explanation:
First you look at a diagram and notice that you are moving forward so you are multiplying the 3 pack of tubes by the 0.27 ounce of glue to get your answer of 1.35
Find the measure of b.
Answers
Answer:
b = 90º
Step-by-step explanation:
b is also 90º because the angles are supplementary
Answer:
90 degrees
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!
Answers
The photo isn't clear but
1st one is increasing slope
2nd is decreasing slop
3rd one also increasing
4th one is undefined slope Cuz its vertical slope
5th one sry I don't know
6th one is 0 Cuz it's horizontal line
I tried my best
HELP PLS: A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective.
A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1
through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players.
The results are given.
13 2,195 3,873 525 900 1 67 1,094 1,472 709 5,000
Based on the sample, how many of the MP3 players might the clerk predict would be defective?
Answers
Answer: 1,000 players
Step-by-step explanation: The result has two values between 1 through 300
out of the 10 value in the sample so the clerk would predict 5,000 *[tex]\frac{2}{10}[/tex]=1,000 defective players.
Which quadratic equations have two solutions? Select all that apply.
Answers
Please find the area of the shaded region. Assume the outside shape is a square. 30 m 15 m 45 m
Answers
Answer:
Shaded region is the difference of the areas of the parallelogram and the square:
A = 45*30 - 15² = 1125 m²Answer:
area of shaded region=1125m²
Solution given:
base of parallelogram [b]=45m
height of parallelogram [h]=30m
length of square [l]=15m
we have
Area of shaded region =Area of {parallelogram -square]
=b×h-l²=45×30-15²=1125m²
Here are the ingredients for making fish pie for 6 people.
Fish pie for 6 people
180 g flour
240 g fish
80 g butter
4 eggs
180 ml milk
Jill makes a fish pie for 3 people. Work out how much flour she needs.
Answers
Step-by-step explanation:
Given
6 people = 180g flour
1 person = 180/6 = 30g flour
3 people = 3 x 30 = 90g flour
Step 1 = 180g for 6 people
Step 2 = first u need to find how much for one person u do that by dividing 180 by 6 which is 30
step 3 = now that u know 30 is for one person u times 30 by 3 = 90
Step 4 = so the answer is 90g
easy question!!
1. What is the surface area of a rectangular prism with a height of 8 feet, a width of 3 feet, and a length of 4 feet?
288 ft2
160 ft2
136 ft2
264 ft2
Answers
Answer:
136 ft^2
Step-by-step explanation:
Surface area = 2 [ (l*w) + (l*h) + (w*h) ]
= 2 [ (8*3) + (8*4) + (4*3) ]
= 136 ft^2
The formula used to complete the square is x=-b/2a
TRUE OR FALSE:
Answers
write an equation that describes the line: a line has a slope of 2 and passes through thr point (3, 13)
Answers
Answer:
y=2x+7
Step-by-step explanation:
y=mx+b is the formula
y=(2) × x+b
y= (2)×(3)+b
y=(2)×(3)+b
b=7
Equation: y=2x+7
Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. How many kilometers did she travel in all if her total jogging time was 1 hour and 20 minutes?
Answers
Answer:
Distance = x = 5 km
Step-by-step explanation:
Let the distance be x
one hour and 20 minutes can be written in fraction = 1 1/3 = 4/3
Now we wil develop the equation
[tex]x/6+x/10=4/3\\[/tex]
30 is the common multiple and can be multiplied on both sides for simplification.
equation will be reduced to
[tex]5x+3x=40[/tex]
Solving for x
[tex]8x=40\\x=5[/tex]
What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.
Answers
Answer:
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
Step-by-step explain
The given inequality is 3b + 8 ≥ 14
We need to solve the given inequality
Step 1.
Subtract 8 to the both sides of the inequality
3b + 8 - 8 ≥ 14 -8
3b ≥ 6
Dividing both sides by 3
b ≥ 2
The value of b is greater than and equal to 2.
the correct answer is a.
Expressions with Irrational Numbers: Mastery Test 1 Type the correct answer in the box. The product of 2/3 and 3v12 in simplified form is Reset
Answers
Answer:
[tex]$\frac{1}{6}$[/tex]
Step-by-step explanation:
Expressing the irrational numbers into its simplified form :
Given :
The product of [tex]$\frac{2}{3}$[/tex] and [tex]$\frac{3}{12}$[/tex]
Therefore,
[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]
[tex]$=\frac{2}{12}$[/tex]
[tex]$=\frac{1}{6}$[/tex]
So the simplified form is [tex]$\frac{1}{6}$[/tex]