Answer;
5. 22°
6. 74°
Step-by-step explanation:
5. Since rectangle JKLM has two equal diagonals that intersect each other, therefore JN = MN.
If JN = MN therefore:
m<NMJ = m<NJM
Thus:
3x + 38 = 7x - 2
Solve for x. Collect like terms
3x - 7x = -38 - 2
-4x = - 40
Divide both sides by -4
x = 10
✔️Find m<NMJ
m<NMJ = 7x - 2
Plug in the value of x
m<NMJ = 7(10) - 2 = 70 - 2
m<NMJ = 68°
✔️Find m<NML;
m<NML = 90 - 68° (Complimentary angles)
m<NML = 22°
6. Diagonal of a rhombus bisects teach vertex angle, this means that <U is divided into two equal parts. Therefore:
10x - 23 = 3x + 19
Solve for x. Collect like terms
10x - 3x = 23 + 19
7x = 42
Divide both sides by 7
x = 6
✔️Find m<RST:
m<SUT = m<RST (opposite angles of a rhombus are congruent)
Thus,
m<SUT = (10x - 23) + (3x + 19)
Plug in the value of x
m<SUT = (10(6) - 23) + (3(6) + 19)
= (60 - 23) + (18 + 19)
= 37 + 37
m<SUT = 74°
Also, m<RST = 74°
as it may not be much, It's the best i can do, with such little wealth, take my earning, consider thy points as your spoils.
1^2 +68=69 skippa bap
Answer:
Thank you!
Step-by-step explanation:
Have a nice day/night lol
Answer:
1^2 +68=69
Step-by-step explanation:
by sqrt rooting 2 by 1 is 1
At 4:00 AM, the temperature is – 12 °F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?
Answer:
-18
Step-by-step explanation: -12 - 3 - 3 sence 2 hours passed
i think is the answer
how many times does 82 go into 500
Answer: 6.09756097561
Step-by-step explanation: that many times
Henry solved the equation 3 (m + 2) = 12 + m
and needs help checking his work. If m = 3, then
help Henry by checking if he solved the equation
correctly. Show your work on the line paper
provided.
Equation: 3(m + 2) = 12 + m
m = 3
Answer:
Henry derived the value of m correctly
Step-by-step explanation:
insert m into the equation
3(3+2)=12+3
3(5)=15
15=15
Henry derived the value of m correctly
A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?
Answer:
The answer is 125 eggs.
The total number of eggs required will be 125.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-
Number of eggs = 5 x 5 x 5
Number of eggs = 125
Therefore, the total number of eggs required will be 125.
To know more about an expression follow
https://brainly.com/question/3188652
#SPJ2
find the measure of the red angle
Answer:
The measure of the red angle says 20 degrees
the other angle is 70 degrees
Step-by-step explanation:
Help. Algebra rjsffjdnsifvnswkfnc
Answer:
No x-intercept/Zero
Step-by-step explanation:
f(x)=3x(3/4)x-4
To find x-intercept/zero, substitute f(x)=0
0=3x(3/4)x-4
To raise a fraction to a power, raise the numerator and denominator to that power
0=3x 3 x-4/4 x-4
Calculate the product
0=3 x-3/4 x-4
Since the right-hand side is always positive, the statement is false for any value of x
Since there is no solution for f(x)=0, there is no x-intercept/Zero
~Can someone please help me with these questions?~
~You don't have to answer them all, but if you do you get Brainliest!~
Answer:
the answer is B, complementary angles
Step-by-step explanation:
complementary angles are two angles that add up to 180 degrees
105 + 75 = 180
What is the rational number equivalent to 3.12
Answer:
3 4/33
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!
A. m= -2
B. m= -1/2
C. m= 2
D. m= 1/2
Answer:
A. m = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 0)
Point (1, -2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-2-0}{1-0}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2}{1}[/tex][Fraction] Divide: [tex]\displaystyle m=-2[/tex]explain how to use thedistributive property to find an expression that is equivalent to 20 + 16
Answer: 4(5 + 4)
Step-by-step explanation: Both 16 and 20 are multiples of 4, so factor out 4 and leave the remaining factors in parentheses
4*5 + 4*4 becomes
4(5 + 4) add inside parentheses
4(9) multiply to check
4 × 36
same as adding 20 + 16 = 36
The total cost of a ticket and the online fee for one ticket is $32.25.Let f represent the cost of ordering each ticket online.Write an equation that could be used to find the cost of ordering each ticket online.
Answer:
The equation is f = z - x
Step-by-step explanation:
The equation is
Given that
The total cost + online fee for one ticket is $32.25
Let us assume f be the cost of ordering each ticket online
Cost of each ticket be x = $24.95
And, the total cost = z = $32.25
Now the equation would be
x + f = z
So for f it would be
f = z - x
Simplify the expression. -5/8(-3/8-1/4)
Answer:
25/64
Step-by-step explanation:
To get this answer, first you need to use the distributive property:
(-3/8)(-5/8) - (1/4)(-5/8)
Next, multiply:
15/64 - (-5/32)
Change the negative signs into a positive sign:
15/64 + 5/32
Multiply 5/32 by 2 on both top and bottom:
15/64 + (5)(2)/(32)(2)
You will then get:
15/64 + 10/64
Now, add the numerators. You will get:
25/64
This is your answer. I hope it helped!
Easy 7th math please help
Find the value of x.
Answer:
x=160/7 ° . or 22 6/7°
Step-by-step explanation:
Vertical angles
16x + 40° = 360 . 360-40 = 320
320°/14
x=160/7°
I need help with this problem..
Answer:
3y - x = 3
Step-by-step explanation:
The slope intercept form of the equation is expression is y = mx+c
m is the slope
c is the y inercept
From the graph
c = 1
Using the coordinates (-3, 0) and (0, 1)
m = 1-0/0-(-3)
m = 1/3
Get the required equation
y = 1/3x + 1
Multiply through by 3
3y = x + 3
3y - x = 3
Hence the required equation is 3y - x = 3
Identify the scale factor used to graph the image below
Answer:
[tex]Scale = \frac{2}{3}[/tex]
Step-by-step explanation:
To solve this question, I'll use the coordinates of SV and S'V' as points of reference.
From the attachment:
[tex]S = (3,6)[/tex]
[tex]V = (15,3)[/tex]
[tex]S' = (2,4)[/tex]
[tex]V' = (10,2)[/tex]
First, calculate distance SV
Distance formula is:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
For SV:
[tex]d_1 = \sqrt{(15 - 3)^2 + (3 - 6)^2}[/tex]
[tex]d_1 = \sqrt{(12)^2 + (-3)^2}[/tex]
[tex]d_1 = \sqrt{144 + 9}[/tex]
[tex]d_1 = \sqrt{153}[/tex]
For S'V'
[tex]d_2 = \sqrt{(10 - 2)^2 + (2 - 4)^2}[/tex]
[tex]d_2 = \sqrt{64 + 4}[/tex]
[tex]d_2 = \sqrt{68}[/tex]
The scale factor is then calculated using:
[tex]Scale = \frac{S'V'}{SV}[/tex]
[tex]Scale = \frac{d_2}{d_1}[/tex]
Substitute values of d1 and d2
[tex]Scale = \frac{\sqrt{68}}{\sqrt{153}}[/tex]
[tex]Scale = \sqrt{\frac{68}{153}}[/tex]
[tex]Scale = \sqrt{\frac{1}{2.25}}[/tex]
[tex]Scale = \frac{1}{1.5}[/tex]
Express as a proper fraction
[tex]Scale = \frac{1*2}{1.5*2}[/tex]
[tex]Scale = \frac{2}{3}[/tex]
Verify the identity.
Tanx^2/secx= sinxtanx
Please answer this :) I will give brainliest, I’m struggling big time
Answer:
from left hand side:tan^2/secx=(,sin^2x/cos^2x)/(1/cosx)=sin^2x/cosx=sinx×sinx/cosx=sinx.tanx=right hand side.verified.
PLEASE HELP, THE TUTOR OPTION ISNT WORKING
Two friends went to buy fireworks to celebrate new years eves. One friend bought 6 rockets and 11 bombs for $36.50. The other one bought 14 rockets and 8 bombs for $41. What was the cost of one rocket? (solve with system of equations)
Answer:
Cost of one rocket = $1.5
Step-by-step explanation:
Given:
6 rockets and 11 bombs cost = $36.50
14 rockets and 8 bombs cost = $41
Find:
Cost of one rocket
Computation:
Cost of one rocket = x
Cost of one bomb = y
So,
6x + 11y = 36.50.....eq1
14x + 8y = 41......eq2
From eq1
y = [36.50 - 6x]/11
From eq2
14x + 8y = 41
14x + 8[36.50 - 6x]/11 = 41
x = 1.5
Cost of one rocket = $1.5
As part of a grand opening, an arcade gave out free tokens to the first 100 customers. If you spent $5, you got 61 tokens. If you spent $6, you got 72 dollars, if you spent $7 you got 83. Construct an equation in y = mx + b
Answer:
your teacher is they are giving out FREEE tokens so why do you have to pay
Step-by-step explanation
Complete the equation.
-6x2 + 15x – 6 = -3(2x - 1)(x + _)
A. 2
B. -2
C. -3
D. 6
Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.
Answer:
Step-by-step explanation:
4 (x + 3) = 2x + 8 <----"four times the sum of a number and three is equal to eight more than twice the number."
Second, we want to solve the equation:
4 (x + 3) = 2x + 8
4x + 12 = 2x + 8
2x + 12 = 8 <-------subtract 2x from both sides of the equation.
2x = -4 <-------subtract -12 from both sides
x = -2 <-------divide both sides by 2 which leaves a negative answer
Third, we want to check the answer by substituting the value of -2 for x in the original equation.
4 (x + 3) = 2x + 8
4 (-2 +3) = 2(-2) + 8
-8 + 12 = -4 + 8
4 = 4
4 (x + 3) = 2x + 8 <----"four times the sum of a number and three is equal to eight more than twice the number."
Second, we want to solve the equation:
4 (x + 3) = 2x + 8
4x + 12 = 2x + 8
2x + 12 = 8 <-------subtract 2x from both sides of the equation.
2x = -4 <-------subtract -12 from both sides
x = -2 <-------divide both sides by 2 which leaves a negative answer
Third, we want to check the answer by substituting the value of -2 for x in the original equation.
4 (x + 3) = 2x + 8
4 (-2 +3) = 2(-2) + 8
-8 + 12 = -4 + 8
4 = 4
Need help with these 2 math questions pls help will mark brainiest
Answer:
5 D
6 D
hsjsjsainsownx s hq
Answer:
1) D.
6) D.
Step-by-step explanation:
6)
The line is a negative slope. y-intercept: (0, -4) and the x-intercept: (-2, 0)
So to get the slope, use this equation, and use (-2, 0) and (0, -4):
[tex]\frac{y^2-y^1}{x^2-x^1} \\\\[/tex]
[tex]\frac{0-(-4)}{-2-0} \\= -2[/tex]
12 + 4x12 - 3x + 6x15 + 2x - 11x9
Answer: -x + 51
(this has to be 20 charectors long so just filling in the blank lolz)
URGENT: Sally has five more quarters than dimes. Sally has a total of $9.30. Find the number of dimes and quarters that sally has. (Explain your answer)
Answer:
36 Quarters and 3 dimes
Step-by-step explanation:
4 x 9 = 36
10 x 3 + 30
Answer:
28 quarters and 23 dimes
Step-by-step explanation:
q = d + 5
.25a +.1d = 9.30
.25(d+5) +.1d = 9.30
.25d + 1.25 +.1d = 9.30
.35d = 8.05
d = 23
23 + 5 = 28
q = 28
What do you already know about fractions?
Answer:
A lot
Step-by-step explanation:
. Some are equal to others and some are not.
. Some are halves, whole.
. There are improper ones and mixed numbers.
............ Thats all i got so far im learning more about them now
what is x+3= - (-x+ ___ )
Answer:
-3
Step-by-step explanation:
Note the right side of the equation. There is a negative sign outside of the parenthesis. Distribute the negative sign to all terms within the parenthesis:
x + 3 = - (-x + __)
x + 3 = x - ___
Note:
1) When multiplying a negative and positive together, the answer will be negative
2) When multiplying a negative and negative together, the answer will be positive:
x + 3 = x - ___
Note the equal sign, this means that the two side of the equation must equal. This means that the only answer choice is -3:
x + 3 = x - (-3)
x + 3 = x + 3 (True)
~
i need to do this for extra credit because my low grade...someone please help me!! i’ll make you a brainliest:)
Answer:
A. 4+4
B. 2x4
C. a=2
D. a=5 b=7
Please help ASAP!!!!!
Given:
The graph of set of ordered pairs.
To find:
The domain of the set of number.
Solution:
Domain is the set of input values or x-values.
From the given graph it is clear that the set of ordered pair is:
{(1,2), (2,4), (3,1), (4,6), (5,4), (6,5)}
Here, the x-values are 1, 2, 3, 4, 5, 6. So, the domain is the set of these values.
Domain = {1, 2, 3, 4, 5, 6}
Therefore, the correct option is A.
Solve the equation
9
- =18
X
Answer:
x=-0.5
Step-by-step explanation:
the question is -9=18x
we divide both sides by 9
-1=2x
divide both sides by 2
x=-0.5
Victor wants to earn at least $1,500 this month in commission. What is the minimum amount he needs to sell in order to earn $1,500 if he earns a 6.5% commission on everything he sells? Round your answer to the nearest dollar.
Answer:
$23,077
Step-by-step explanation:
Let the minimum amount you want to earn be represented as x
Therefore
6.5% of x = $1,500
6.5/100 × x = $1500
6.5x/100 = $1500
Cross Multiply
6.5x = $1500 × 100
x = $1500 × 100/6.5
x = $23076.923077
Approximately to the nearest dollar= $23,077
Therefore, the minimum amount he needs to sell in order to earn $1,500 if he earns a 6.5% commission on everything he sells is $23,077