Find m<6 if m<8 = 112°
Reason:
Angle 6 and angle 8 are corresponding angles because they are in the same southeast corner of their four-corner angle configuration. Corresponding angles are congruent when we have parallel lines like this.
Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.
Answer:
JKM is not a right triangle because KL + LM ≠ 15.3.
Step-by-step explanation:
Given
[tex]JK = 13[/tex]
[tex]JL = 5[/tex]
[tex]JM = 8[/tex]
Required
Determine if JKM is right-angles or not
Calculate length KL using Pythagoras theorem.
[tex]JK^2 = JL^2 + KL^2[/tex]
[tex]13^2 = 5^2 + KL^2[/tex]
Collect like terms
[tex]KL^2 = 13^2 - 5^2[/tex]
[tex]KL^2 = 144[/tex]
[tex]KL = 12[/tex]
Calculate length LM using Pythagoras theorem.
[tex]JM^2 = JL^2 + LM^2[/tex]
[tex]8^2 = 5^2 + LM^2[/tex]
Collect like terms
[tex]LM^2 = 8^2 - 5^2[/tex]
[tex]LM^2 = 39[/tex]
[tex]LM = \sqrt{39[/tex]
[tex]LM = 6.2[/tex]
[tex]KM = KL + LM[/tex]
[tex]KM = 12 + 6.2[/tex]
[tex]KM = 18.2[/tex]
If JKM is right-angled, then:
[tex]KM^2 = JK^2 + JM^2[/tex]
[tex]KM^2 = 13^2 + 8^2[/tex]
[tex]KM^2 = 233[/tex]
[tex]KM = \sqrt{233[/tex]
[tex]KM = 15.3[/tex]
[tex]15.3 \ne 18.2[/tex]
i.e
[tex]KL + LM \ne 15.3[/tex]
Hence: JKM is not right-angled
Answer:
C-JKM is not a right triangle because KL + LM ≠ 15.3
Step-by-step explanation:
if right mark as brainliest
Question 3
The CEO of Hot Tires compares factory production for his two factories using the data in the table shown below.
Factory A Factory B
Production Production
Monday 102
112
Tuesday 106
119
Wednesday 114
105
Thursday 98
96
Friday
101
113
Which inference is valid?
A
Factory B produced more tires than factory A because factory B has a median of 112 and factory A has a median of 102
B
Factory B has less variability in production because the range for factory B is smaller than the range for factory A.
с
Factory A has less variability in production because the range for factory A is greater than the range for factory B.
D
Factory B produced more tires than factory A because factory Bhas a mean of 109 and factory A has a mean of 104.2.
please help it's definitely not E and i'm pretty sure it's not C
HELPPP ILL MARK YOU THE BRAINLYEST
thank you lol i’m not smart sorry
Answer: 65
Step-by-step explanation: Sum of angles in triangles is always 180, we know one angle is 25 and another is 90, so 25 + 90 = 115, then 180 - 115 = 65.
Which graph shows the function
4y - x= 0?
Answer:
y=x/4
Step-by-step explanation:
add x to the other side of your equation so: 4y = x
now divide both sides by 4 so your y is isolated: y=x/4
HELP HELP PLEASE!! D:
Find the length of the missing side of the trapezoid below:
PLEASE NO CAP!!
Solve for t. You must write your answer in fully simplified form.
−19=7t
Answer:
t=-19/7
Step-by-step explanation:
you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7
we know that anything divided by itself is 1 so we get -19/7=t
This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.
I need help with this
Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
Write and solve an equation to find the amount of money Victor used to buy the Game Boy.
What is the slope of the line that contains the points (6,4) and (13,5)
Answer: 1/7
Step-by-step explanation:
Answer:
(4,2) (11,3)
Step-by-step explanation:
Evan and Dorinda make bracelets for a craft fair. Evan makes 10 bracelets the first day and 8 bracelets each day after that. Dorinda makes 8 bracelets the first day and 8 bracelets each day after that. If they make bracelets for 6 days, how many bracelets will they make in all? a. 567 b. 987653 c. 8765 d.65
Answer:
98 bracelets
Step-by-step explanation:
Number of days, n = 6
Evan:
= 10 + 8(n - 1)
= 10 + 8(6 - 1)
= 10 + 8(5)
= 10 + 40
= 50 bracelets
Dorinda
= 8n
= 8(6)
= 48 bracelets
Total bracelets they will make in all = Evan + Dorinda
= 50 + 48
= 98 bracelets
In ΔHIJ, h = 3.7 cm, i = 5.4 cm and j=3.8 cm. Find the measure of ∠H to the nearest degree.
Answer:
43
Step-by-step explanation:
deltamath
Answer:43
Step-by-step explanation:
A figure is shown Below
Find M
Answer:
58 degrees
Step-by-step explanation:
We know that angles on a straight add up to 180 degrees. Therefore:
To find the angle at the top of the triangle do 180-112 = 68
To find the angle at the right side of the triangle do 180 - 126 = 54
We know that angles in a triangle add up to 180 degrees. Therefore:
To find m do 180 - (54 + 68) = 58
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet, 6 feet by 5 feet by 4 feet, 7 feet by 6 feet by 4 feet, 8 feet by 3 feet by 7 feet, 8 feet by 4 feet by 3 feet
Answer:
the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
Need Answers Asap I will try to give brainlest if i have it
Answer:
9. 1,800 m/s
Step-by-step explanation:
450 ÷0.25 = 1800.
*Hope this helps*
a.55.48.27.12.0
b.62.40.9.3.25.
c.1.8.13.29.42.
d.15.34.0.7.28
of the following shows an arrangement of an integer from least to greatest
Answer:
C
Step-by-step explanation:
a) 55 > 48 > 27 > 12 > 0 ×
b) 62 > 40 > 9 > 3 < 25 ×
c) 1 < 8 < 13 < 29 < 42 ✓
d) 15 < 34 > 0 < 7 < 28 ×
Solve and show work.
Which is the value of x?
Answer:
lower Right.
Step-by-step explanation:
Remark
The two angles share the same side of vertically opposite angles. That makes them supplementary which means the two angles add to 180 degrees.
Equation
4x + 8x + 12 = 180 Combine like terms on the left
Solution
12x + 12 = 180 Subtract 12 from both sides12x = 180 - 12 Combine12x = 168 Divide by 12x = 168/12x = 14WILL MARK BRAINLIEST! Find a Linear Function with the coordinate pairs ( 4 , 250) and ( 12 , 650 )
Answer: $75.07
Step-by-step explanation:
company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.
Answer:
$75.07
Step-by-step explanation:
company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.
3(4x+6)=x-4
Pls look at the picture for the rest of the question thanks!
Answer:
(x = −2) sentence below
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(4x+6)=x−4
(3)(4x)+(3)(6)=x+−4(Distribute)
12x+18=x+−4
12x+18=x−4
Step 2: Subtract x from both sides.
12x+18−x=x−4−x
11x+18=−4
Step 3: Subtract 18 from both sides.
11x+18−18=−4−18
11x=−22
Step 4: Divide both sides by 11.
11x
11
=
−22
11
x = −2
I used distributive property because it allows me to simply the equation when dealing with the unknown value of x.
Describe the transformations that will make f(x)=1/x into g(x)=−1x+5−8?
Answer:
f (x) = 4
f (x) = radical 3x-4
f (x) = 3/5x
Step-by-step explanation:
Hope this helped you.
Have a beautiful day!!
What improper fraction is equal to 8 1/6?
Answer:
Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/
45
= 4 16/
45
≅ 4.3555556
hope this helps you
Step-by-step explanation:
HELP ME ON GEOMETRY!!! PLZ
NO LINKS! > i will report.
Answer
I believe B.)8in3 is the right answer according to the square-cube law.
Step-by-step explanation:
What is AC?
А
А
D
5
B
$6.00+$8.00 =
answer
Answer:
14,00
Step-by-step explanation:
14 bru
Solve for x:
4.5x = 56.25
1. x = 60.75
2. x = 12.5
3. x = 253.125
Answer:
2. x = 12.5
Step-by-step explanation:
x=56.25÷4.5=12.5
A swing hangs from a beam 10 feet high, with the seat hanging 2 feet above the ground. In motion, the swing moves back and forth from -130° to -50° to the horizontal. How far forward and back does the swing move along the ground at the extremes?
Answer:
11.17 ft
Step-by-step explanation:
Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.
Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by
L = Δθ/360 × 2πr where Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ = -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.
Substituting r and Δθ into L, we have
L = -80°/360° × 2π(8 ft)
= -8/36 × 16π ft
= -32π/9 ft
= -100.53/9 ft
= -11.17 ft
Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft
1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?
Answer:
4.5 or just say 4 if your gonna round it up. hope this helped :)
Step-by-step explanation:
please help i’ll give brainliest if you help thanks
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation: