[tex]\bf Step-by-step~explanation:[/tex]
We are given that BA is perpendicular to BD, so that must mean that m∠ABD is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find m∠CBD.
PART 1
[tex]\bf Step~1:[/tex]
Equation: (8x - 10) + (4x + 52) = 90
Let's add the like values together first.
[tex]\bf 8x+4x=12x\\-10+52 = 42[/tex]
[tex]\bf 12x+42=90[/tex]
[tex]\bf Step~2:[/tex]
Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.
[tex]\bf12x+42(-42)=90(=42)\\12x=48[/tex]
[tex]\bf Step~3:[/tex]
Divide both sides by 12 to get our final answer for x.
[tex]\bf\frac{12x}{12} =x\\\\\frac{48}{12}= 4\\\\x=4[/tex]
PART 2
Now that we have x, we simply plug it into our equation for m∠CBD.
[tex]\bf Step~1:[/tex]
[tex]\bf4x+52\\4(4)+52[/tex]
[tex]\bf Step~2:[/tex]
Multiply 4 and add 52.
[tex]\bf 4*4=16\\16+52=68[/tex]
[tex]\large\boxed{\bf Our~final~answer: mCBD=68}[/tex]
I brainliest you for this too if u answer it in detailed :)
Answer:
The right hand side is as gollows
Step-by-step explanation:
first mouth
second liver
third Gallbladder
court Apendix
4-17 (-6)-3
Pls help
I know it equals -10 but I need a step by step answer
Answer:
-10
Step-by-step explanation:
[tex]4-17-(-6)-3\\\\=4-17+6-3\\\\=(4+6)+(-17-3)\\\\=10+(-20)\\\\=10-20\\\\=-10[/tex]
step two is the rule of signs for multiplication
can anyone help with these two questions
Answer:
8)
[tex]9x+6=60[/tex] (Alternate angles)
[tex]9x=54[/tex]
[tex]x=6[/tex]
9)
[tex]13x-6=12x+1[/tex] (Vertically opposite angles 3 times)
[tex]13x=12x+7[/tex]
[tex]x=7[/tex]
the angles of a qaudileteral are x,2x,100 and 110 degress find the value of 2x
Step-by-step explanation:
Hey there!!!!
We generally sum up all the angles to get 360° as per given in our question.
Here, in your question, we have values as,
x, 2x, 100°, 110°.
(We have 360° as the sum quadrilateral).
So, x° + 2x° + 100°+110° = 360°
3x°+210°= 360°
3x° = 360° - 210°
or, 3x° = 150°
[tex]x = \frac{15 0 }{3} [/tex]
Therefore the measure of 2x is (2×50)°=100°.
Hopeit helps...
Answer:
X=50; 2x=2×50=100
Step-by-step explanation:
sum of angles in a quadrilateral is 360°
Therefore; x+2x+100+110=360;
3x+210=360;
3x=360-210;
3x=150;
divide both sides by the co-efficient of x;
3x/3=150/3;
x=50;
therefore 2x=2×50;
2x=100.
A portable music player has 2 gigabytes of storage and can hold about 500 songs. A similar but larger media player has 80 gigabytes of storage. About how many songs can the larger media player hold
Answer:
20,000.
Step-by-step explanation:
The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.
1. Solve the equation 15a +5= 5(3-2) for a. Show your work. State whether the equation has one solution, no solutions, or infinitely many solutions. If the equation has one solution, identify that solution. If the equation has no solutions, or infinitely many solutions, justify your choice.
Answer:
Use the distributive property and it will help a lot.
Step-by-step explanation:no solution
Answer:
Zero
Step-by-step explanation:
First you do (3-2) which is one then you multiply that by five which gives you 5. Then you will subtract 5 from each side and that leaves you with 15a=0. Divide both sides and you’ve got zero
A cell phone tower at point A receives a cell phone signal from the southeast. A cell phone tower at point B receives a signal from the same cell phone from due west. Trace the diagram at the right and find the location of the cell phone. Describe how Postulates 1-1 and 1-2 help you locate the phone.
Answer: Postulate 1: -4,-4
Postulate 2: D. The postulates guarantee that unique lines can be draw that they will meet at a unique point.
Step-by-step explanation:
What’s is the value of 9z-8w when z=8 and w=3
Answer:
48
Step-by-step explanation:
9(8) - 8(3) =
9(8) = 72
8(3) = 24
72 - 24 = 48
5x - 2.5 + 6x - 3 = _(2x - 1)
Answer:
x=
10
9
=0.900
Step-by-step explanation:
What is the name of the radius of the smaller circle?
Answer:
AB
Step-by-step explanation:
it was correct on my assignment
SOLVE FOR Y!!!!!!
2y-x= -4
Answer:
-2
Step-by-step explanation:
Answer:
Y=2+x/2
Step-by-step explanation:
llllllllllllll
BC=11+2x, AB=x+5, and AC=16 find x
Answer:
Step-by-step explanation:
11 + 2x + x + 5 = 16
3x + 16 = 16
3x = 0
x = 0
The explanation is on the picture please help me with my math
Answer:
Step-by-step explanation:
1. add 8 to both sides to get d=25
2. subtract 12 from both sides to get v=-17
3. add 2 to get b=-9
4. subtract m to get -16-m=71 then add 15 to get -m=87 then divide both sides by - to get m by itself so m=-87
5. subtract a then subtract 29 to get -a=-105 then divide it by - to get a=105
6. add 14 to both sides to get y=12
hope this helps :)
Michele bought 3.50 pounds of dried fruit for $11.55. Her friend buys 7.25 pounds of peanuts for $25.38. Which is less expensive per pound? By how much?
Answer:
fruit cost less by the
Step-by-step explanation:
one pound of fruit cost 3.30 and peanuts cost 3.50 per pound
1.2424 as a fraction
Answer:
1553/1250 its already in its simplified form
brainliest!! What is the value of x?
Answer
111
Step-by-step explanation:
900-789=111
Answer:
71 or 22.5
Step-by-step explanation:
Every weekday after tennis practice, Will buys either a carton of milk or a bottle
of power drink.
Suppose that m is the number of cartons of milk that Will purchased during
the last month. His total cost for beverages in dollars last month can be
represented by the algebraic expression 2m + 3 (20 – m).
Which of the following statements are true? Select all that apply.
The cost of the power drink is $3 per bottle,
Will purchased 20 more bottles of power drink than cartons of milk.
Will purchased a total of 20 beverages during the last month.
The total amount Will spent on power drinks was $60
An equivalent expression for the total cost of Will's beverages during this month is
60 - m dollars
Will purchased 20 more cartons of milk than bottles of power drink
Answer:
The correct options are;
The cost of milk powder is $3 per bottle
An equivalent expression for the total cost of Will's beverages during this month is 60 - m dollars
Step-by-step explanation:
The given information are;
The items Will buys every weekday after tennis practice = A carton of milk or a bottle of powder drink
The number of milk purchased during the month = m
Will's total cost for beverages in dollars last month = 2·m + 3·(20 - m)
1) Therefore, given that the total amount is factored in dollars, we have;
2·m and 3·(20 - m) are dollar amounts, while, m is a quantity;
Therefore;
Where;
2·m = The total cost of the cartons of milk, then the factor 2 represents $2.00 which is the cost per carton of milk
Similarly, 3·(20 - m) can be said to represent the total cost of the powder drink then the factor 3 represents $3.00 which is the cost per powder drink and the factor (20 - m), represents the number of powder drink Will buys for the month
From which we found the cost of milk powder = $3.00 per bottle
2) The expression, 2·m + 3·(20 - m) simplifies to 2·m + 60 - 3·m, which gives;
2·m + 60 - 3·m = 60 - m which is an equivalent expression for the total cost of Will's beverages for the month.
Find the set of values of k for which the y = kx – 4 intersects the curve of y = x2 – 2x at two distinct points.
Answer:
For ax^2+bx+c=0,
x^2+x(-2-k)+4=0,
So, b=-2-k,
a=1, c=4, so
(-2-k)^2-(4*1*4)>0,
4+4k+k^2-16>0,
k*2+4k-12>0,
(k+6)*(k-2)>0,
the points of interest are
k=-6, k=2, so
look at k<-6, -6<k<2, and
k>2.
Just plug in values for each
interval and you will see
that k<-6 and k>2.
if jm=5x-8 and lm=2x-6 what represents jl
Answer:
6344
Step-by-step explanation:
63443737377373733833
-2(7-15)
What is the value of
4
?
-4
-2
02
4
Steps to solve:
-2(7 - 15)
~Distribute
-14 + 30
~Add
16
Best of Luck!
Write 6/16 in lowest terms
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
divide by 2
do you know the domain and range
Answer:
Domain: (-3,2)
Range: (?,?)
Step-by-step explanation:
I low-key forgot how to do this...
My bad G <3
Answer:
D: All real numbers or (-∞, ∞)
R: (-∞, 2] or y ≤ 2
------------------------------------------
Domain:
The graphed function has arrows on both ends, meaning that it will extend to -∞ and ∞. Therefore the Domain is:
D: All real numbers or (-∞, ∞)
Range:
The graph extends downward infinitely, so the graph will extend to y = -∞ as x ⇒ -∞ and x⇒ ∞.
The graphed function has a maximum, or greatest y-value at y = 2, therefore:
R: (-∞, 2] or y ≤ 2
me suremen Ur unswers The question.
1. Which graph represents the function y = -3x + 1 for the domain D: (-2,-1, 0, 1, 2}?
Answer:
C
Explanation:
A has a positive slope,
B and D don't match the equation
If the sum of two consecutive number is 71 and one number is x then the other number is options are x +(x+1)=71,x+(x+2)=71,x+x=71,none of these
A consecutive number is a number directly following another number.
For instance, 1 and 2 are consecutive numbers
So x + (x + 1) = 71 is the only correct choice
-12-4b=4-2b EXPLAIN IN NUMBER FORM DO NOT PUT ANY WORDS
Step-by-step explanation:
-4b + 2b = 4 + 12
-2b = 16
2b = - 16
b = -8
When she uses her driver, a golfer has the ability to land in the fairway 75% of the time and she uses her driver 12 times
Solve the inequality
9+ w > 7
Please help!
Answer:
w>-2
Step-by-step explanation:
9 + w > 7
you subtract 9 from both sides which gets you
w>-2
hope this helps
The temperature outside is 22 degrees C. What is this temperature in degrees Fahrenheit? Write hour answer as a decimal
eighteen fahrwnheit
goodluck :)
Answer:
22 degrees celsius turns to 71.6 into fahrenheit.
Amy cut 32 feet of chain into pieces that were each
1
4
ft long. How many of these pieces did Amy have after cutting the chain?
Be sure to use the correct place value.
Answer:
32ft of chain divided by 14ft pieces... that's two pieces of chain
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
32÷14=2.2857
2 with a remainder of 4feet
Find four consecutive even integers whose sum is 100 what are the integers
X → first
X + 2 → second
X + 4 → third
X + 4 → fourth
x + x + 2 + x + 4 + x + 6 = 100
4x + 12 = 100
4x = 88
x = 22
x + 2 = 24
x + 4 = 26
x + 6 = 28
So your integers are 22, 24, 26, and 28.