Fill in the missing statements and reasons in the proof.
(Points are high because I really need the answer)
Answers
Answer:
Vertical angles
Step-by-step explanation:
Those two angles are vertical angles, are vertical angles are congruent.
The reason ∠ ABC ≅ ∠DBE is that they are vertically opposite angle.
What is a Triangle ?A triangle is a polygon with three sides and three angles and three vertices.
The diagram is given and it is been asked to fill the missing statement
The ∠ ABC ≅ ∠DBE Reason = ?
The line CE and AD intersects each other at a vertex B and forms vertically opposite angles and so they are equal.
Therefore the reason ∠ ABC ≅ ∠DBE is that they are vertically opposite angle.
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Related Questions
PLS HELPPPP! PLEASE DONT ANSWER IF U DONT KNOW!
Answers
Answer:
-3x³ + 8x² + 7x - 12
Step-by-step explanation:
hope this helps. Could you pls give me brainliest f correct,I am only 3 away from leveling up!!
find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units
Answers
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]
= [tex]\sqrt{8^2+(y+3)^2}[/tex]
Given distance between points is 10, then
[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
Instructions: Find the measurement of the diagonal indicated in the following parallelogram. Please help :)
Answers
Answer:
ZD = 10
Step-by-step explanation:
In a parallelogram
Every two opposite sides are parallelEvery two opposite sides are equalEvery two opposite angles are equalEvery two adjacent angles are supplementaryThe two diagonals bisect each other (meet each other at their midpoint)Let us solve the question
∵ ABCD is a parallelogram
∵ AC and DB are its diagonals
→ By using the 5th property above
∴ AC and BD bisect each other
∵ AC ∩ BD at point Z
→ That means Z is the midpoint of them
∴ Z is the midpoint of BD
→ That means Z divides BD into 2 equal parts BZ and ZD
∴ BZ = ZD
∵ BZ = 10
∴ ZD = 10
Here are two similar rectangles.
1 cm
2 cm
4 cm
Work out the area of the larger rectangle.
Answers
Answer:
8cm^2
Step-by-step explanation:
4*2=8
The area of the larger rectangle will be 8 cm.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the sides of the small rectangle are 1cm and 2cm. One side of the larger rectangle is 4cm so the other side will be 2cm.
The area of the rectangle is calculated by using the formula below:-
Area = 4 x 2
Area = 8 cm
Therefore, the area of the larger rectangle will be 8 cm.
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Tom simplified an expression in three steps, as shown: x to the power of negative 2 multiplied by y to the power of 4, over y multiplied by x to the power of 4 multiplied by x to the power of 4 multiplied by y to the power of negative 2, the whole to the power of 4 equal to x to the power of 2 multiplied by y to the power of 8, over y to the power of 4 multiplied by x to the power of 8 multiplied by x to the power of 8 multiplied by y to the power of 2 equal to x to the power of 2 multiplied by y to the power of 8, over y to the power of 6 multiplied by x to the power of 16. Which is the first incorrect step and why? (5 points) Step 1, all the exponents are increased by 4 Step 2, the exponents of the same base are added during multiplication Step 3, the exponents of the same base are subtracted during division Step 3, all the exponents are added during division
Answers
Answer:
Step 1, all the exponents are increased by 4Step-by-step explanation:
The three steps are
(x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ = x²×y⁸/y⁴×x⁸×x⁸×y² =x²×y⁸/y⁶×x¹⁶Correct solution should be:
(x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ = all powers inside the parenthesis should be multiplied by 4 as per power of the power (xᵃ)ᵇ = xᵃᵇThis would give next steps:
x⁻⁸×y¹⁶/y⁴×x⁸×x⁸×y⁻⁸ =x⁻⁸×y¹⁶/x¹⁶×y⁻⁴ =y²⁰/x²⁴Answer options:
Step 1, all the exponents are increased by 4
There should be multiplication of powers. (It is close option but is not fully correct as not all the exponents increased by 4, for example y became y⁴)Step 2, the exponents of the same base are added during multiplication
It was done correctlyStep 3 wasn't performed yet, there was step 1 and 2.
So answers about step 3 are irrelevantAnswer:
It would be number 3.
Step-by-step explanation:
HELP QUICK!Determine the approximate value of side a.
Answers
Answer:
35 degrees PLEASE MARK ME BRAINLIEST
Step-by-step explanation:
ZB
Round your answer to the nearest hundredth.
B
?
9
С
А
6
Answers
Answer:
B = 41.81
Step-by-step explanation:
sin B = opposite/ hyp
sin B = 2/3
Take the inverse sin of each side
sin ^-1 sin (B) =sin ^-1 (2/3)
B =41.8103149
To the nearest hundredth
B = 41.81
Please help
Write the word sentence as an inequality. Then solve the inequality. Six times a number x is at least −24. An inequality is________ . The solution of this inequality is _________.
Answers
Answer:
6x ≥ -24
An inequality is "a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions."
The solution to this inequality is:
x ≥ -4
Step-by-step explanation:
There's no explanation needed.
I just converted the words into an equation, then solved it by dividing both sides by 6. I looked up the definition of an inequality and pasted it here.
the table shows for a quadratic function.
what is the average rate of change for this function for the interval from from x=3 to x=5
Answers
Answer:
the average rate of change is 12
Step-by-step explanation:
The computation of the average rate of change is shown below:
As from the attached table
f(b) = f(5) = 32
f(a) = f(3) = 8
Now the average rate of change is
= (32 - 8) ÷ ( 5 - 3)
= (24 ÷ 2)
= 12
Therefore the average rate of change is 12
So the same is relevant and considered too
1. A hotel has 300 rooms which are all occupied. Each room can have either 1 or 2 guests and there are 420 guests staying in total. How many rooms are occupied by 2 guests?
Answers
Answer:
60
Step-by-step explanation:
420 - 300 = 120
120/2 = 60
420-300=120 excess guests if all rooms were occupied by one person
So, there would be 120 rooms occupied by two people by that logic.
to check:
120(2)+ 180(1)
240+180=420
What is the following sale price
for a phone charger with an
original price of $12.99 after
applying a discount of 45%?
Answers
Answer:
$5.85
Step-by-step explanation:
To find the percentage of things you can use the percentage formula
p%*x=y
45%*12.99=y
.45*12.99=y
y=5.8455
I rounded up but the question may call for something different. Hope this Helps!
1. The volume of a rectangular shape 5 feet
high, 6 feet thick, and 13 feet long is
a. 24 cu ft
b. 43 ft
c. 95 ft
d. 390 cu ft
Answers
is this for the test on schoolobjects?
Answer:
The answer is d 390cubic feet
Step-by-step explanation:
multiply 5x13x6=390
7th grade math help me please :)
Answers
Answer:
105 pounds
Step-by-step explanation:
help!!
A letter is chosen from the word BELIEVABLE Which describes the
probability of randomly choosing a consonant?
Answers
Answer: 1/2
Explanation: There are 5 vowels and 5 consonants in the word believable. So to find the consonant, you have to do a fraction with consonant as numerator and the total number of letters as the denominator. Since there are 5 consonants and 10 letters in total, the simplest form will be 1/2.
If you were filling the cylinder up with water using a cone that has the same height and diameter, how many cones will it take to fill up the cylinder?
Answers
Answer:
It required 3 cones to fill up the cylinder with the same height and diameter.
Step-by-step explanation:
Let the radius of the cone and cylinder be r.
Let the height of the cone and cylinder be h.
As we know that [tex]\text{Volume of cylinder}=\pi r^2h[/tex] ....(1)
[tex]\text{Volume of cone}=\frac{1}{3}\pi r^2h[/tex]
It can be observed that the volume of a cone is [tex]\frac{1}{3}[/tex]rd the volume of the cylinder. so, multiply the volume of the cone by 3.
[tex]3 \times \text{Volume of cone}=3 \times \frac{1}{3}\pi r^2h[/tex]
[tex]3 \times \text{Volume of cone}= \pi r^2h[/tex]
[tex]3 \times \text{Volume of cone}= \text{Volume of cylinder}[/tex] (From equation 1 )
Hence, It required 3 cones to fill up the cylinder with the same height and diameter.
A 55m and 35m broad park is surrounded by a 2.5m wide path.
(i). Find the area of the path.
(ii).Calculate the cost of paving the path with stones at Rs 120 per sq. metre.
Answers
Step-by-step explanation:
☄ [tex] \underline {\underline{ \text{Given}}} : [/tex]
Length of a park ( l ) = 55 mBreadth of a park ( b ) = 35 mWidth running outside the park ( d ) = 2.5 mRate of paving the path with stones = Rs 120 per sq.metre☄ [tex] \underline{ \underline{ \text{To \: find}}}: [/tex]
Area of the parkCosy of paving the path with stones at Rs 130 per sq.metre☄ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Part 1 : [tex] \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}[/tex]
plug the known values and simplify :
⟹ [tex] \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}[/tex]
⟹ [tex] \sf{5 \times 95}[/tex]
⟹ [tex] \sf{475 \: {m}^{2} }[/tex]
Part 2 : [tex] \boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}[/tex]
⟹ [tex] \sf{475 \times 120}[/tex]
⟹[tex] \sf{Rs \: 57000}[/tex]
[tex] \purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day /night ツ
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.......Please someone help......
Answers
Answer:
2c. is y-3 = 3/4 ( x - 5 ) y - y^1 =m ( x- x^1)
the slope of the line is 3/4
(5,3) must be included on the graph of the line
2a. is (y^2-y^1)/ (x^2-x^1)
that the slope formula
2b. They are similar because they both use x^1 and y^1
also both use and need the slope
Fatima has a total of $8 to spend to make fruit smoothies. She plans on spending all of the money and will use two types of fruit. Mango cost $0.50 per cup and strawberries cost $1.00 per cup. Write an equation for this situation.
Answers
Answer:
0.5x+y= 8---------------1
Step-by-step explanation:
Given data
let the mango be x
and strawberries be y
So the equation for the cost is
[tex]0.5x+y= 8---------------1[/tex]
What is the slope of the following line: 2y-4x=-16
Answers
Answer:
The slope is 2
Step-by-step explanation:
So convert the equation into point slope form
y=mx+b
Isolate the 2y by adding 4x to both sides using inverse operations
2y=-16+4x
now divide 2 on both sides to make y isolated
y=-8+2x
Now convert
y=2x-8
the slope is 2
given logx 2=p and logx 7=q , express log7 4x³ in terms of p and q.
Answers
Answer: (2*p + 3)/q
Step-by-step explanation:
First, let's remember the relationships:
Logₙ(a) = Ln(a)/Ln(n)
Ln(A*B) = Ln(A) + Ln(B)
Ln(a^n) = n*Ln(a)
Now, we know that:
Logₓ(2) = p
Logₓ(7) = q
We want to express:
Log₇(4*x^3) in terms of p and q.
First, we can rewrite the first two relations as:
Ln(2)/Ln(x) = p
Ln(7)/ln(x) = q
then we have:
Ln(2) = p*Ln(x)
Ln(7) = q*Ln(x)
Ok:
Now let's play with our equation:
Log₇(4*x^3)
First, this is equal to:
Ln(4*x^3)/Ln(7)
We now can rewrite this as:
(Ln(4) + Ln(x^3))/Ln(7)
= (Ln(2^2) + Ln(x^3))/Ln(7)
= (2*Ln(2) + 3*Ln(x))/Ln(7)
Now we can replace Ln(2) by p*Ln(x) and Ln(7) by q*Ln(x)
(2*p*Ln(x) + 3*Ln(x))/(q*Ln(x)) = (2*p + 3)/q
This is the expression we wanted.
Help please!!!!!!!!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
Slope is something that goes left to right or up to down in a graph going that 120 steps doesn't makes sense.
So now the choice is either A or B
The choice is B because the slope 2 represents the price per square foot painted
SIMPLE INTEREST
Interest = $40
Principal = $400
Interest rate = ?
Time = 2 years
Answers
Answer:
the interest rate is .4% or .0041666 etc. It's not a very realistic
Step-by-step explanation:
The perimeter of a rectangle is 24 inches. If the length of
the rectangle is less than the width of the
rectangle, which of the following best illustrates the
domain for the length of this rectangle?
Answers
Answer:
Option B
Step-by-step explanation:
Let the length of the rectangle = l inches
And width of the rectangle = w inches
Perimeter = 2(l + w) = 24 inches
(l + w) = 12
w = 12 - l --------(1)
Length of the rectangle is less than the width,
l < w
By substituting the value of w from equation (1),
l < 12 - l
2l < 12
l < 6
Since, length of the rectangle will be greater than zero,
l > 0
Inequality that best illustrate the domain of the length will be,
0 < l < 6
Option (B) will be the answer.
simplify this ratio
question a
Answers
Answer:
1:5:6
Step-by-step explanation:
The greatest common factor is 2, so divide by 2 for all of them.
Help me quickly just give the answer
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
48 divided by 8 = 6 or 8 x 6 = 48
1. The wrestler Blue Cyclone weighs 120
pounds is gaining ten pounds a month.
The Red Tornado weighs 150 pounds and
is gaining four pounds each month. How
many months will it take for them to be the
same weight?
Answers
Answer:
5 months
Step-by-step explanation:
cause 120+ 10× 5= 170 and
150+4×5= 170
If you solve the equationx - 3 = 7, what information will you have?
Answers
Answer:
x=4
Step-by-step explanation:
both sides, add 7
Hey there!
“x – 3 = 7”
• FIRST: ADD by 3 on BOTH sides
• x – 3 + 3 = 7 + 3
• CANCEL out: –3 + 3 because that gives you 0
• KEEP: 7 + 3 because that helps us solve for your x-value
• NEW EQUATION: x = 7 + 3
• FLIP THE EQUATION: 7 + 3 = x
“Solve above and you have your answer!”
• ANSWER: x = 10 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Find the missing side. Round your
answer to the nearest tenth.
Answers
Work Shown:
sin(angle) = opposite/hypotenuse
sin(68) = 28/x
x*sin(68) = 28
x = 28/sin(68)
x = 30.1989727949723
x = 30.2
Make sure your calculator is in degree mode.
NEED HELP ASAP pls help right now!!! Pleeeease
Answers
The table shows the number of teams that make the playoffs
in four professional sports: hockey (NHL), basketball (NBA),
football (NFL), and baseball (MLB).
About what percentage of hockey teams make the playoffs?
Answers
Answer:
I believe it's 53% cause 16 divided by 30 sums up to 53