Answer:
x = [tex]\sqrt{48}[/tex]
Angle B = 60 degrees
Step-by-step explanation:
Since the triangle is equilateral, we know that all sides will be 8 units long. Side CB is split in half so each half (CD and DB) are 4 units long. Side CA is 8 units long and is the hypotenuse for triangle ACD. To find the unknown side (AD aka x):
4^2 + x^2 = 8^2. use the pythagorean theorem
16 + x^2 = 64. subtract 16 from both sides
x^2 = 48. take the square root of both sides
x = [tex]\sqrt{48}[/tex]
For angle B, we know that all the angles in triangle ABC will be the same since it is an equilateral triangle.
180/3 = 60. total sum of all angles in a triangle will be 180 so divide that by total angles (3)
Angle B = 60 degrees
The value of x is 6.92 units.
The measure of angle B is 60 degree.
What is Pythagoras theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
Given:
Since the triangle is equilateral all sides will be 8 units long.
and, CD or DB = 1/2 (CB)
= 4 units long.
Now, In ΔACD using Pythagoras theorem
4² + x² = 8²
16 + x² = 64
x² = 48
x = 6.92 unit.
and, We know all three angles of Equilateral triangle are Equal in measure.
So, 180/3 = 60.
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Any Suggestions on what to do here? I already restarted my PC twice, cleared my browsing data, and rebooted the wifi network....
Oh yea and whats 5 to the square root of 625
Answer:
Use a factor tree. For example, 625 = 5 x 125 = 5 x 5 x 25 = 5 x 5 x 5 x 5. Because there are 4 fives, and we are looking for the square root, (5 x 5) (5 x 5) = 625. Therefore the square root of 625 is 25.
Find the slope of the line that passes through (2,-55) and (1,-22)
Answer:
y = -33x + 11.
Step-by-step explanation:
Find the missing side length 12 cm 1,200 cm 20 cm ____ cm
Answer:
Missing side length is 5 cm.Step-by-step explanation:
Multiply 20 by 12:
20 * 12 = 240.Multiply 240 by 5:
240 * 5 = 1200.Multiply the lengths:
20 * 12= 240 * 5= 1200.Answer:
The missing side is 5 cm
Step-by-step explanation:
Step 1: Determine the missing side
[tex]V=l*w*h[/tex]
[tex]1200\ cm^3 = 20\ cm * w * 12\ cm[/tex]
[tex]\frac{1200\ cm^3}{20\ cm * 12\ cm} = w[/tex]
[tex]\frac{1200\ cm^3}{240\ cm^2} = w[/tex]
[tex]5\ cm = w[/tex]
Answer: The missing side is 5 cm
what is this x + y = 7 and x − y = −3
Answer:
x = 2, y = 5
Step-by-step explanation:
Answer:
math equation
Step-by-step explanation:
AREA OF TRIANGLE BASE=7 and 4
Answer:
area: 14
Step-by-step explanation:
The following table shows the length and width of a rectangle: Length Width Rectangle A 3x 5 2x − 3 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? 10x 4; the answer is a polynomial 2x 4; the answer is a polynomial 10x 4; the answer may or may not be a polynomial 2x 4; the answer may or may not be a polynomial.
Expression giving the result of the perimeter of rectangle A and demonstrating the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial
What is the closure property of a polynomial for addition operation?Closure property keeps the result in the same set.
If two polynomials [tex]f(x)[/tex] and [tex]g(x)[/tex] are there.
Then, [tex]f(x) + g(x) = h(x)[/tex]
where [tex]h(x)[/tex] is also a polynomial.
The result of the addition of two polynomials is also a polynomial. This property of polynomial for addition operation is called closure property of a polynomial for addition operation
For the given case, we have:
Length of the rectangle = [tex]3x + 5[/tex]Width of the rectangle = [tex]2x -3[/tex]Perimeter of a rectangle with width W and length L = 2(L + W)
And using that formula, the perimeter of the considered rectangle is evaluated as:
[tex]P = 2(3x + 5 + 2x - 3)\\P = 2((3+2)x + 2) = 2(5x + 2)\\\\P = 10x + 4[/tex]
Thus, expression giving the result of the perimeter of rectangle A and demonstrating the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial
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Choose the correct range for each set of values. Set 1: 48, 47, 34, 37, 11, 39 Range = Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43 Range = Set 3: 85, 98, 31, 96, 49, 77, 82 Range = Set 4: 112, 114, 116, 175, 115, 134, 117 Range =.
Range is one of the important description of a data set. The range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63How to find the range of a set of data values?Range = Maximum value of the data set - Minimum value of the data set.
For the given sets, we get their range as:
Set 1: 48, 47, 34, 37, 11, 39Maximum value = 48, minimum value = 11
Range of the data set = Maximum value - minimum value = 48-11 = 37
Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43Maximum value = 49, minimum value = 40
Range of the data set = Maximum value - minimum value = 49 - 40 = 9
Set 3: 85, 98, 31, 96, 49, 77, 82Maximum value = 96, minimum value = 31
Range of the data set = Maximum value - minimum value = 96-31=65
Set 4: 112, 114, 116, 175, 115, 134, 117Maximum value = 175, minimum value = 112
Range of the data set = Maximum value - minimum value = 175-112 = 63
Thus, the range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63Learn more about range here:
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Please help me with this! Thank you! Click on the photo for better view!
Answer:
In order: -5, 3, 5
Step-by-step explanation:
-5g + 15h - 25
-5 ( g - 3h + 5 )
Hopefully this helps!
Brainliest please?
angle A and angle B are supplementary angles. Find m angle A and m angle B.
m angle A=(x+11) m angle B=(x-15)
Please help need answer fast
[tex] \rm \: p = \frac{favourable \: outcome}{total \: outcome} [/tex]
Total outcome = 12+5+8+1+4 = 30Favourable outcome = 12[tex] \rm \: p = \frac{12}{30} [/tex]
[tex] \rm \: p = \frac{2}{5} [/tex]
[tex] \rm \: p = 0.4[/tex]
[tex] \tt \: p = \frac{0.4}{100} [/tex]
[tex] \tt \: p = 40\%[/tex]
5
How can you classify quadrilaterals? Explain using properties of sides and angles.
(Be sure to write at least 5 complete sentences)
Answer:
A quadrilateral is a polygon with four sides. A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. A rhombus is a parallelogram with four congruent sides. A trapezoid is a quadrilateral with exactly one pair of parallel sides. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. And A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below.
Step-by-step explanation:
I hope this helps, I also couldn't find a answer :D
I need help with this question really quick!!!
Answer:
Np buddy its B. Hope u get a good grade
Simplify the expressions
1. x - 2 + 3x + 8
2. 2(-1.5x + 3) + (5x - 2)
3. (x + 3) - (2x - 1)
4. (4 - x) - 2 (-5x + 3)
5. (-4x + 3) + (9x - 5)
6. 3 (-3x - 4) - (3x + 5)
7. (-8x + 4) - (7x - 7)
8. 1/2 (x - 6) + 1/4 (x + 12)
9. (-2x - 3) - (2x - 10)
10. (-4x - 2) + 1/2 (12x - 22)
11. 2 (4.4 - 2x) + 4 (-x + 3)
12. (-2x + 5) - (-3x + 11)
Answer:
1) 2(2x+3)
2) 2x+4
3) - X + 4
4) 9x - 2
5) 5x−2
6) - 12x - 17
7) - 15x + 11
8) 3x/4
9) - 4x + 7
10) 4x-26/2
11) - 8x + 20.8
12) x - 6
Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially?
PLS HELP YOU WILL GET BRAINLY!!!
Step-by-step explanation:
let x represent the no of pancakes,
she baked 1.5 times pancakes more than waffles,
so from this, no of pancakes = 1.5x,
then she baked more 45 waffles,
no of waffles = (x +45)
so you had 1.5x pancakes and the children ate 12 out of them. the no of pancakes has then been reduced by 12.
thus, no of pancakes = ( 1.5x -12 )
now they see that they have 17 more waffles that pancakes left. this means that :
no of waffles - no of pancakes = 17
(x+45) - (1.5x - 12) = 17
x - 1.5x + 45 + 12 = 17
x = -50 / -0.5
x = 100
hence, there were 100 waffles initially.
hope you understand this,
-s.
Question within image.
1)a parallelogram is a quadrilateral with opposite sides being parallel so the lines AB must equal CD or otherwise it wouldn't be a parallelogram
2)for a quadrilateral to be proven to be a parallelogram the consecutive angles has to be supplementary which means they add up to 180 or for example you could slice the parallelogram in half down the middle you could piece the two consecutive angles together to make 180 degrees
Please help! 15 Points.
1. Write the general term and pattern rule for the following pattern:
9, 6, 3, 0, -3
Then: Find the 15th, 25th, and 100th term values.
2. Write the general term and pattern rule for the following patterns: -7, -17, -27, -37, -47
Then: Find the 15th, 25th, and 100th term values.
x=y-4, 2x-y=5. Please help me
By putting x = y-4 in the equation 2x-y = 5, we get;
=) 2(y-4) -y = 5
=) 2y - 8 - y = 5
=) 2y - y = 5 + 8
=) y = 13
Now, we got the value y = 13, so by putting it in the equation x = y-4, we get;
=) x = 13 - 4
=) x = 9
Therefore, x = 9 and y = 13
Answer:
the answer is (x,y) = (9,13)
Step-by-step explanation
Which figure represents an undefined term?
Answer:
I think the answer is D
Step-by-step explanation:
The last figure is representing an undefined term "line".
What is Ray?A ray is a segment of a line where one point is fixed and the other has no defined end. It denotes that a ray has one terminating end and an indefinitely long other end.
The first illustration depicts a ray with an end point at X, which is a phrase that is described as "a ray is a line with one end point."
The second graphic depicts a line segment with endpoints at X and Y. This phrase is described as "A line segment is a line with 2 end points."
The joint of two rays in the third illustration creates an angle, which is once again a defined phrase.
The final illustration depicts a line that is not defined and has no endpoints.
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Choose the expression that represents a quadratic expression. 6x4 − 5x3 3x2 −7x − 8 5x3 3x2 −7x − 8 2x2 3x − 1 3x − 1.
Answer:
2x^2+3x-13x-1
Step-by-step explanation:
Quadratic expressions are polynomial expressions in which the highest power of the variable is 2.
Looking at option A, the highest power of the variable in the polynomial is 4. Therefore, it is not a quadratic expression.
Looking at option B, the highest power of the variable in the polynomial is 3. Therefore, it is not a quadratic expression.
Looking at option C, the highest power of the variable in the polynomial is 2. Therefore, it is a quadratic expression.
Looking at option D, the highest power of the variable in the polynomial is 1. Therefore, it is not a quadratic expression.
Answer:
c
Step-by-step explanation:
its c bc i got it right on test
AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was constructed so that EF = BC. Since ADEF is a right triangle, DE+ EF? = DF? by the We are given that AB + BC2 = AC? Since DE = AB and EF = BC, DE2 + EF2 = AC? by the Also, DF2 = AC2 by the Taking the square root of both sides of the equation gives DF = AC. So, AC is congruent to DF by the definition of congruence. Applying the AABC - ADEF. By CPCTC, ZB _ZE. Therefore ZB is a right angle and AABC is a right triangle.
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Congruent shapeTwo shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
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pythagorean theorem, division, substatution, SAS
Step-by-step explanation:
edmentum
Find the measure of x and y
Answer: maybe about 45 or 75 i dont know
Step-by-step explanation:
HURRY PLS
Part 1:
Prove that the two triangles above are similar. Provide a proof using any method (two-column, flow-chart, or paragraph). For whichever method you choose, include the statements that lead you to the necessary conclusion, as well as corresponding reasons for each statement.
Part 2:
Find the measures of AC and AB all necessary calculations.
The condition of two congruent angles in each triangle, can be used to
show that the two triangles are similar.
Response:
Part 1: The two triangles are similar by AA similarity postulatePart 2: AC = 22.5 inches, AB = 30 inchesWhich condition of similarity makes the two triangles similar?Part 1:
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠D ≅ ∠A [tex]{}[/tex] 1. Given
2. ∠DCE ≅ ∠ACB [tex]{}[/tex] 2. Vertical angle theorem
3. ΔCDE ~ ΔCAB [tex]{}[/tex] 3. AA similarity postulate
Angle-Angle, AA, similarity postulate states that if two angles in one
triangle are congruent to two angles in a second triangles, then the two
triangles are similar.
Part 2:
From part 1, we have;
ΔCDE is similar to ΔCAB (ΔCDE ~ ΔCAB)
The ratio of corresponding sides of similar triangles are equal, which
gives;
[tex]\dfrac{\overline{CD}}{\overline{AC}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]
Which gives;
[tex]\dfrac{12}{\overline{AC}} = \mathbf{\dfrac{8}{15}}[/tex]
[tex]\overline{AC}} = \dfrac{15}{8} \times 12 = \mathbf{22.5}[/tex]
AC = 22.5 inchesSimilarly, we have;
[tex]\dfrac{\overline{DE}}{\overline{AB}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]
Which gives;
[tex]\dfrac{16}{\overline{AB}} = \dfrac{8}{15}[/tex]
[tex]{\overline{AB}} = \dfrac{15}{8} \times 16 = \mathbf{30}[/tex]
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a 65 foot ladder is leaning against a wall. Its lower end is 25 feet away from the wall. How much farther away will it be if upper end is moved down 8 feet?
Answer:
14
Step-by-step explanation:
65^2=25^2 + h^2 =52
Then, 65^2 =(25 + x) ^2 +52^2=>x=14
A standard DVD has a surface area of 134 cm2 depending on formatting it holds either 4.7 or 8.5 gigabytes find the data density in both cases
Step-by-step explanation:
Data density = Data capacity / surface areaUse the formula to find the answer:
1.
4.7 /134 = 0.0351 Gb/cm²2.
8.5/134 = 0.0634 Gb/cm²Note. the numbers above are rounded
HELP Given f(x) = 4x2 – 3x – 6, what is the value of f(-1)?
A. -7
B. 2
C. -5
D. 1
Answer:
D) 1
Step-by-step explanation:
Given f(x) = 4x² - 3x - 6
f(-1)=4(-1)² -3 (-1) -6
f(-1)= 4+3-6
f(-1)= 1
Hope it helps! :)
help me help me can u help me
i need to understand ratio plz help
Order the numbers from least to greatest.
53.77
54
53.61
53.6
Answer:
53.6, 53.61, 53.77, 54
Step-by-step explanation:
That's the right order
a path is made of red and blue tiles a fifth of the tiles are red what is the ratio in simplest forms??
Answer:
The answer is 4:1
Step-by-step explanation:
Hope this helps!
Find the value of x.
Answer:
x = 53
Step-by-step explanation:
The sum of the exterior angles of a convex polygon is always 360°.
x +x +59 +48 +50 +39 +58 = 360
2x +254 = 360 . . . . simplify
x +127 = 180 . . . . . . divide by 2
x = 53 . . . . . . . . . . . subtract 127