Answer:
Using the Vertical Angle Theorem,
if two angles are vertical, then they are congruent
therefore, ∡4=∡5 and ∡6=∡7
since ∡4≅∡7
then ∡5 must also be ≅ to ∡6
Step-by-step explanation:
Step-by-step explanation:
Statement Reason
∠4 ≅ ∠7 Given
∠4 and ∠5 are vertical angles Vertical angles theorem
∠6 and ∠7 are vertical angles Vertical angles theorem
∠4 ≅ ∠5 and ∠ 6≅ ∠7 Definition of vertical angles
∠5 ≅ ∠6 Substitution property of equality
IDENTIFY A PAIR OF SEGMENTS THAT ARE MARKED PERPENDICULAR TO EACH OTHER.
WILL GIVE BRAINLIEST. PLEASE HELP.
Answer:
AB is perpendicular to IB
A pair of segment that are marked perpendicular to each other are JC and CD.
As per the figure given,
∠JCD = 90°
In geometry, when it's stated that angle JCD is 90°, it means that angle JCD is a right angle. When two line segments or rays intersect to form a right angle, it indicates that they are perpendicular to each other.
In the context of the figure given, JC is a line segment , and CD is another line segment. The fact that angle JCD is a right angle (90°) tells that JC is perpendicular to CD.
Hence, as angle JCD is given as 90°, it establishes that JC is perpendicular to CD in the context of the figure given.
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ALGEBRA: Food Pantry sells its private label salad
dressing in a 48-oz bottle and a 32-oz bottle. If the
48-oz bottle is $0.88 more than the 32-oz bottle and
the unit price of the 32-oz bottle is $0.01 more than the
unit price of the 48-oz bottle, find the cost of each.
Answer: 48oz = $1.68, 32oz = $0.80
Step-by-step explanation:
Let A be the price of the 48oz bottle and B the price for the 32oz bottle.
We are told that:
A = B + $0.88
------
The unit price is defined as the $ per oz.
Let Au be the unit price for the 48oz size, and
Bu is the unit price for the 32oz size.
[This means that Au*(48) = A and Bu*(32) = B]
We are told that:
Bu + $0.01 = Au
=======
Find the cost of each.
A = B + $0.88
Au*(48) = Bu*(32) + $0.88
Substitute (Bu + $0.01) for Au
(Bu + $0.01)*(48) = Bu*(32) + $0.88
(48Bu + $0.48) = Bu*(32) + $0.88
16Bu + $0.48 = $0.88
16Bu = $0.40
Bu = $0.025
The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle
B = $0.80
Since A = B + $0.88
A = $0.80 + $0.88
A = $1.68
The unit prices of 48-oz bottle and 32-oz bottle are $0.0183 and $0.01.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given, 48-oz bottle is $0.88 more than the 32-oz bottle.
That means,
0.88 > 32 x ( 0.01)
0.88 > 0.32
And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.
Unit price of 48-oz bottle,
= 0.88 / 48
= 0.0183
Unit price of the 48-oz bottle is $0.0183.
Therefore, $0.0183 and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.
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a wind up robot can travel 20m on a single wind. how many times will it need to wind to cover a distance of half a mile?
There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?
Answer:
alan received 24 votes
Step-by-step explanation:
bark
someone please help me
-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=
Answer: (1,10)
Step-by-step explanation:
Assuming these are the correctly written equations:
-x + 5y = 49, and
x - 4y = -39
I'll rewrite them:
5y = x + 49
y = (1/5)x + (49/5)
-4y = -x -39
y = (1/4)x + (39/4)
=====
I'll assume the question is to find the point these two lines intersect (?).
See the attached graph. They intersect at (1,10).
With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?
The probability of her NOT drawing a red card are very likely
2.
Identify the axis of symmetry of the parabola.
A. x= 3
B. x= 6
C. x= 5
D. x= 4
Answer:
x=4
Step-by-step explanation:
The imaginary line that divides it goes through 4 on the x axis
Answer:
A. x= 3
Step-by-step explanation:
A recipe calls for 40 ounces of rice. how many grams of rice does the recipe require
Answer:
So you can convert e.g. 1 cup of rice or rice flour into grams or ounces etc. easily. Other even more exotic rice varieties converters menu page. You may enter whole numbers, decimals or fractions
Step-by-step explanation:
solve the equation.
[tex]\sqrt{x(x+2)} = 0[/tex]
[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]
ok done. Thank to me :>
60 out of 300=?
I’m not sure how to figure that out
Answer:
60 / 300 simplified 6/30 simplified 1/5 (20%)
Step-by-step explanation:
Maybe asking ratio?
Which expression represents the word phrase?
Drag an expression into each box to match each word phrase
the quotient of a number and 12
the sum of a number and 12
the difference between 12 and a number
12 - P
12 + p
p-12
p/12
12p
12/p
Answer:
The difference between 12 and a number ➜ 12 - p
The sum of a number and 12 ➜ 12 + p
The quotient of a number and 12 ➜ [tex]\frac{p}{12}[/tex]
The expression in the box for the quotient of a number and 12, the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
If x and y are the arbitrary numbers.
And sum of the numbers are x + y,
difference of the numbers are x - y and
quotient of number x and y is x/y.
Here we have the expression and their representation,
the quotient of a number and 12 = p/12
the sum of a number and 12 = p + 12
the difference between 12 and a number = p - 12.
Therefore the expression in the box for the quotient of a number and 12,
the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.
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GEOMETRY PROOFS!
Given: AB ≅ DB; AC ≅ DC
Prove: ABC ≅ DBC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
Given that
In ∆ ABD , AB = BD------(1)
=> Angle B = Angle D
Since the angles opposite to equal sides are equal.
=> Angle A = Angle D
and
BC bisects Angle B
=> Angle BCA = Angle CDB ----(2)
And
BC = BC (Reflexive Property) -----(3)
From Eqⁿ(1),(2)&(3) we have
BA = BD
< ABC = BCD
BC = BC ( Common Side)
Therefore, ∆ ABC =~ ∆ DBC
by SAS property
Hence, proved.
Additional comment:
The angles opposite to equal sides are equal.In two triangles , the two sides and the included angle of the first triangle are equal to the corresponding two sides and the included angle in the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.CPCT - Corresponding parts in the Congruent triangles are equal.Angle bisector divides the angle into two equal parts.The sum of two adajacent angles is 180° they are called Linear Pair.also read similar questions:Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC..
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given: AB ≈ DC ; AC ≈ DB PROVE: ABC ≈ DCB THE DIAGRAM SHOWS A 2 COLUM PROOF. ORDER THE REASONS SHOWN IN THE LIST TO MATCH THE STATEMENTS ......
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Kent has paid a total of $589 For internet service. Each month of service cost $19. How many months, m, of internet service has Ken't paid for? Use the model.
Giving brainliest
Answer:
589/19=31 dollars a month
Step-by-step explanation:
Hope this helps!
Please can you help me x
Answer:
PX : XQ = 2 : 5
Step-by-step explanation:
Since RX is perpendicular to PQ , then
Δ RPX and Δ RQX are right triangle
Calculate PX and XQ using Pythagoras' identity in the right triangles
PX² = 20² - 16² = 400 - 256 = 144 ( take square root of both sides )
PX = [tex]\sqrt{144}[/tex] = 12
Similarly
XQ² = 34² - 16² = 1156 - 256 = 900 ( take square root of both sides )
XQ = [tex]\sqrt{900}[/tex] = 30
Then
PX : XQ = 12 : 30 = 2 : 5 ( in simplest form )
Please help ASAP!
Write the ratio 2/7 to 8 as a fraction in simplest form. The ratio in simplest form is _____.
[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]
HELPPPPP ASAP!!!! I’m on a limit
Answer:
look at the photo.........What is an equation of the line that passes through the points (-4, 2) and (-8, -3)
Answer:
a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)
cross multiply
5x +20 = 4y-8
5x -4y =-28
Step-by-step explanation:
how many boxes should show on grid for 3/8=18 eggs
The number of box is an illustration of proportions
8 boxes must be shown on the grid
The proportion is given as:
[tex]\mathbf{\frac{3}{8} = 18\ eggs}[/tex]
The above proportion means that:
3/8 of the total number of eggs is 18
Let the total number of eggs, be x
So, we have:
[tex]\mathbf{\frac{3}{8} \times x= 18\ eggs}[/tex]
Express 3/8 as a decimal
[tex]\mathbf{0.375 \times x= 18\ eggs}[/tex]
Divide both sides by 0.375
[tex]\mathbf{x= \frac{18}{0.375 }\ eggs}[/tex]
[tex]\mathbf{x= 48\ eggs}[/tex]
This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid
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A movie theater charges $6 for each adult and $3 for each child. If the total amount in
ticket earnings one evening was $1428 and if there were 56 more children than adults, then
how many children attended?
Answer:
196 children
Step-by-step explanation: 6(140)+3(196)= 1428 (196-140=56)
Help me with math!!!
Answer:
- 7
Step-by-step explanation:
Given
t < - 6
Then t = - 7 is less than - 6 and is a solution
help me pleassseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
it is aas triangle
Is it possible to have a triangle with the following sides?
a) 9 cm, 40 cm , 41 cm b) 5.4 cm, 3 cm, 2 cm
Answer:
In My Opinion, A
Step-by-step explanation:
the measurements are obeying the rule of Pythagorean triplet.
Hence,
This rule also satisfies Pythagorean theorem.
So therefore,
The triangle is a right angled triangle.
I hope this helps
Definition: The points where a graph intersects the x-axis are called it’s __.
Answer:
zeroes or x-intercepts
Step-by-step explanation:
What is the slope of the line?
Answer:
[tex]m=\frac{2}{3}[/tex]
Step-by-step explanation:
We can see that some of the points that are plotted we can tell what those plots are (-2, 0) (1, 2) (4, 4)
We use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] for any of the two plots that are shown on the line
Answer:
2/3
Step-by-step explanation:
find 50% of 20
Find the answer I need it for Get More Math
Answer:
10
Step-by-step explanation:
1/2 of 20 is 10
Answer:
10
Step-by-step explanation:
3х +8
What’s the value of x
Answer:
the value of X is one
Step-by-step explanation:It is one because it doesn't have a proper number
Examine the following table, which represents some points on a line.
x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?
y=−3x−2y is equal to negative 3 x minus 2, , ,
y=3x−2y is equal to 3 x minus 2, , ,
y=−13x−2y is equal to negative 1 third x minus 2, , ,
y=−13x−6y is equal to negative 1 third x minus 6, , ,
y=−3x−6
Answer:
(c) y = −1/3x −2
Step-by-step explanation:
We notice two things in the table.
y goes up by 1 when x goes down by 3.y = -2 when x = 0 (this is the y-intercept__
The slope of the line is ...
m = (change in y)/(change in x) = +1/-3 = -1/3
Then the slope-intercept equation is ...
y = mx +b . . . . . . slope m, y-intercept b
y = -1/3x -2
Answer is C
Step-by-step explanation:
math
What two words make the contradion "there's"
A. There are
B. There is
C. That is
D. There has
Answer:
C: There is
Step-by-step explanation:
Hope this helps!
Mark as Brainliest if it does.
What is the equation of the parabola? If correct will award brainliest, scam answers will be reported!
Answer:
Equation of parabola: y = a(x-h)2 + k or x = a(y-k)2 +h, but the simple version is y2 = 4ax.
Step-by-step explanation: