Find the value of z. Then find the value of the interior angles
Step-by-step explanation:
[tex] \because \angle JKM [/tex] is the exterior angle of [tex] \triangle KLM [/tex]
[tex] \therefore [/tex] by remote interior angle theorem of a triangle, we have:
[tex] m\angle L + m\angle M = m\angle JKL \\\\
(18z + 3)\degree + (5z - 3)\degree = 161\degree \\\\
(18z + 3+5z - 3)\degree = 161\degree \\\\
(23z)\degree = 161\degree \\\\
23z = 161\\\\
z = \frac{161}{23} \\\\
\huge \red {\boxed {z = 7}} \\\\
\because \measuredangle L = (18z +3)\degree \\\\
\therefore \measuredangle L = (18\times 7+3)\degree \\\\
\therefore \measuredangle L = (126+3)\degree \\\\
\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \\\\
\because \measuredangle M = (5z - 3)\degree \\\\
\therefore \measuredangle M= (5\times 7-3)\degree \\\\
\therefore \measuredangle M = (35-3)\degree \\\\
\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \\\\[/tex]
If a figure is dilated by a scale factor of 6, the perimeter of the figure will change by factor of
A.3
B.6
C.36
D.12
Answer:
6
Step-by-step explanation:
A scale on a map shows that 2.5 centimetres represents 15 kilometres what number of actual kilometres are represented by 17.5 centimetres on the map
Answer:
105km
Step-by-step explanation:
From the above question, the scale is
2.5 cm = 15km
Therefore,
17.5 cm = x
We Cross Multiply
2.5cm × x = 15km × 17.5 cm
x = 15km × 17.5cm/2.5
x = 262.5/2.5
x = 105 km
Therefore, the number of actual kilometres that are represented by 17.5 centimetres on the map is 105 kilometres.
Car Survey in a survey of 1,800 people who owned a certain type of car, 1,080 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer: 60%
Step-by-step explanation:
First you have 1,080 satisfied out of 1,800.
Then you divide 1,080/ 1,800.
When you divide you get .6
Finally move the decimal 2 places to the right and you get 60 which is 60%.
-2.5x - 10 = 40 what is the missing variable
Answer:
x = -20
Step-by-step explanation:
1) Isolate x
-2.5x - 10 = 40
+ 10 + 10
-2.5x = 50
------- ------
-2.5 -2.5
x = -20
Answer:
x=-20
Step-by-step explanation:
-2.5x -10=40
-2.5x -10+10=40+10
-2.5x=50
-2.5x/-2.5=50/-2.5
x=-20
Seven less than one-fourth of a numer is -1.
Answer:
The number is 24.
Step-by-step explanation:
-1+7=6
6*4=24
I believe the answer is 96
x/4 - 7 = 17
x/4 = 24
x = 96______is the number
URGENT NEED IT NOW I WILL GIVE BRIANLIEST find the slope-intercept of (3,5) and (0,0) Plz give me the equation
Answer:
m = 5/3
Step-by-step explanation:
the slope is
5
_
3
I need help fast... if answered Correctly I will mark brainliest
Choose the ordered pair which is the solution to: -2x + 7y = 17 and 3x - 4y = -19.
O (0,17/7)
O (-1,-2)
O (-5,1)
O (-1,3)
9514 1404 393
Answer:
(-5,1)
Step-by-step explanation:
To eliminate x, multiply the first equation by 3 and add 2 times the second equation.
3(-2x +7y) +2(3x -4y) = 3(17) +2(-19)
-6x +21y +6x -8y = 51 -38
13y = 13
y = 1 . . . . . matches the third answer choice
(x, y) = (-5, 1)
five more than the quotient of a number and 6 is 30
Answer:
x = 150
Step-by-step explanation:
5 + x ÷ 6 = 30
x / 6 = 30 - 5
x / 6 = 25
x = 25 x 6
x = 150
-8m - 12 > -5(m - 8) – 3(m - 7)
Write the solution to the inequality
Answer:
No answer.
Step-by-step explanation:
- 8m - 12 > -5m + 40 - 3m + 21
combine terms
-8m - 12 > -8m +61
add 8m to both sides
-12 > 61
negative 12 is not greater than 61
Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is proportional to the number of packages delivered, how many packages would be delivered if there are 100 trucks avilable?
A 3.200 packages
B 1.800 packages
Answer:
A
Step-by-step explanation:
My dog, Petey weighs 75 pounds. Last summer he weighed 65 pounds. What percent of his weight did he gain?
Answer:
he gain 10%
Step-by-step explanation:
Answer:
He gained 10 lbs which is 13.3 % of 75
please answer quickly!!
Answer:
A: 49 cents B: 46 cents
Step-by-step explanation:
will had 23 balls Sarah had 7 times a many as will had, Logan had 2 times as many Sarah had how many balls does everyone have
Answer:
Will clearly has 23 snow balls
Sarah has 161 snow balls
Logan has 322 snow balls
All in all thats a lotta dam snow balls hehe :)
Step-by-step explanation:
hope this helps yall :)
a cargo ship traveled 150 nautical miles in 6 hours at a constant speed.
How far did the cargo ship travel in 1 hour??
Answer:
25 miles per hour
Step-by-step explanation:
divide 150 by 6 to find the unit rate, which is 25 miles per hour.
Using the segment addition postulate, which is true?
Answer:
BC + CD = BD
Step-by-step explanation:
that is the right answer
Answer:
D or BC+CD+BD
Step-by-step explanation:
Select the correct answer.
What is the solution to this system of equations?
x= 12 - y
2x + 3y= 29
ОА.
x = 8, y=4
B.
x = 6, y = 6
O C. x = 7, y= 5
OD
x = 9, y = 3
Answer:The answer is C
Step-by-step explanation:
When you plug it in 7*2 is 14+ 5*3 is 15 you add 14+15 you get 29 and then for the other equation you do 12-5 which gives you the x value of 7. Hope this helps.
1 half + 10 = 1 fourth + 54.
x=_______?
Answer: First of all thats wrong. 1/2 + 10 = 10 1/2 and 1/4 + 54 = 54 1/4
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,3) and has a slope of -2/3
Answer:
The answer is y=-2/3x-1
Step-by-step explanation:
y-y=m(x-x1)
y-3=-2/3(x-(-6))
y-3=-2/3x-4
+3 +3
y=-2/3x-1
how do I solve an equation with different variables on both sides? here is an example.
solve for x
9x – 2c = k
Answer:
Step-by-step explanation:
9x - 2c = k
9x = k + 2c
x = (k + 2c)/9
Rounding Decimals
Round each number to the correct place value.
1) Round to the nearest tenth.
9.81
Round to the nearest tenth is what I’m looking for
Answer:
9.8
Step-by-step explanation:
You would see if the hundredths place is less that 5 or 5 and up. In this case it it less, so it would be 9.8 or 9.80
What is the x-intercept of the graph that is shown below?
4
8 2
5 4 -3 -2 -14
1 2 3
X
2
3
4
45
O (-3, 4)
(0, 2)
O (2,0)
(3,0)
(0, 2) is the y intercept of the given graph, option B is correct.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line is passing through the points (3, 0) and (0,2)
We have to find the slope
m=2/-3
=-2/3
Now let us find y intercept
0= -2/3(3) +b
b=2
Hence, (0, 2) is the y intercept of the given graph, option B is correct.
To learn more on slope of line click:
brainly.com/question/16180119
#SPJ7
If the weight of a package is multiplied by 3/4 the result is 54 pounds find the weight of the package?
Answer:
72
Step-by-step explanation:
In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.
how much is the arc of a circle if the angle is 70°
Answer:
siriously i dont know cuz im learning this in maths
area
perimeter
arc
Answer:
We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.
Step-by-step explanation:
hope that helps u
Mabel scored 19 points more on her math test than Nancy. Phoebe scored 10 points less on her math test than Nancy. If Phoebe scored 23 points, how many points did mabel score.
The point that is scored by Mabel will be 52 points.
Based on the information given, since Phoebe scored 10 points less on her math test than Nancy and scored 23 points, then Nancy will have:
= 10 + 23 = 33 points
Since Mabel scored 19 points more on her math test than Nancy, then, the point that is scored by Mabel will be:
= 33 + 19
= 52 points
Read related link on:
https://brainly.com/question/18730874
Solve the equation.
1. For parentheses:
7h-5(3h-8) = -72
Distribute
2. If necessary:
Combine Terms
3. Apply properties:
Add Subtract
Multiply
Divide
4.To start over:
Reset
Answer:
h= 14
Step-by-step explanation:
7h-5(3h-8)= -72 PEDMAS Parenthesis first
7h-15h+40= -72 combine like terms
-8h+40= -72 subtract 40 from both sides
-8h=-112 divide by -8
h=14
The required simplified solution of the given expression is h = 4.
Given that,
A number of instruction has been added in the question, guiding the solution of the given expression.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
7h-5(3h-8) = -72
Simplify,
7h -5×3h - 5× -8 = -72
7h -15h + 40 = -72
8h = -72 + 40
-8h = -32
h = 4
Thus, the required simplified solution of the given expression is h = 4.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
what’s 5 x 1/8? please explain how to do this problem too :)
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{1}[/tex] × [tex]\frac{1}{8} = \frac{5}{8}[/tex]I hope this helps!
Answer:
5/8 or 0.625
Step-by-step explanation:
multiply the numerator so that equals 5
multiply the denominator so that equals 8
the fraction answer is 5/8
the decimal answer is 0.625; this is because when you divide 5 and 8, you get 0.625
if you need more explanation, 5/1 times 1/8
just multiply across the top and bottom to get your answer
Part A what is the measure of the missing angle in the triangle?
Answer:
39
Step-by-step explanation:
the interior angles of a triangle equal 180.
180-(51+90)
180- 141 = 39
hope this helps :)
Someone please help me I will give you brainlest:)
Answer:
I think the answer is A.
Can you make me brainlest plz? :)
Marie can find the volume of a cube by using the formula V=s exponent 3 where s repersents the side length of the cube if marie's cube has a side length of 2-1/2 centimerters what is the volume of her cube? WRITE AS A FRACTION
Answer:
125 / 8 centimeters
Step-by-step explanation:
Given:
V = s³
Where,
V = volume of the cube
s = side length of the cube
if marie's cube has a side length of 2 1/2 centimerters
That is,
s = 2 1/2 cm
V = s³
= (2 1/2)³
= (5/2)³
= 125 / 8 centimeters
NOTE:
(5/2)³ = 5³ / 2³
= 5*5*5 / 2*2*2
= 125 / 8