Answer:
48 units
Step-by-step explanation:
The length of line segment DB is 48 units
What are parallelograms?Parallelograms are shapes with opposite parallel sides
Start by calculating the measure of t using:
AE = CE --- the diagonals
So, we have
3t - 14 = t + 2
Collect like terms
3t - t = 14 + 2
Evaluate
t = 8
The length of segment DB is calculated as;
DB = 2 * DE
So, we have:
DB = 2 * (2t + 8)
Substitute 8 for t
DB = 2 * (2* 8 + 8)
Evaluate
DB = 48
Hence, the length of line segment DB is 48 units
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I need help please!!
Answer:
∠ CAD = 83°
Step-by-step explanation:
In a parallelogram. opposite angles are congruent.
∠ CAB = ∠ ACD = 57° ( Alternate angles )
The sum of the 4 interior angles = 360°
and
∠ ABC + ∠ CDA = 40° + 40° = 80°
Thus
∠ BCD + ∠ CAD = 360° - 80° = 280°, then
∠ DAB = 140° ( congruent opposite angles )
Thus
∠ CAD = 140° - ∠ CAB = 140° - 57° = 83°
Find the digits in space given with the following numbers so that the number is divisible by 11.
a) 2__583
b) 37__45
Answer:
A
Step-by-step explanation:
I am not sure but I think A
Answer:
a) 22583
b) 37345
Step-by-step explanation:
Divisibility by 11
Rule: A number passes the test for 11 if the difference of the sums of alternating digits is divisible by 11.
For example, the number 14982 is divisible by 11. Sum the digits
1+9+2=12
4+8=12
Subtract them: 12-12=0. Since 0 is divisible by 11, then the number also is.
The number 745102 is not divisible by 11:
7+5+0=12
4+1+2=7
12-7=5. 5 is not divisible by 11.
a) 2_583. Let's call X to the unknown digit 2X583
2+5+3=10
X+8 should be 10 or 21, so 10-10=0 or 21-10=11 are divisible by 11, but X cannot be greater than 9, thus
X+8=10 => X=2. The number is 22583
b) 37X45
4+7=11
3+X+5 should be 11 or 21. Again, X must be less than 10, thus
3+X+5=11 => X=3. The number is 37345
I need help pls !!!!
Answer:
The answer is 49 pi cm2
Step-by-step explanation:
pi x 14^2
----------------
4
=153.93804
Answer:
The area of your circle is ≈ 15.6cm²
Step-by-step explanation:
A = Area
C = Circumference
Attached
Using the following formulas;
A=πr²
C=2πr
Directions - Label the diagram with the following values, then solve for x.
A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)
Answer:
113.97 degrees
Step-by-step explanation:
use the cosine rule for finding an angle
cosA = b^2 + c^2 - a^2
2bc
In the given triangle angle A is greatest than any other angle.
What is the triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given sides of triangle, a=2cm,b=8cm,c=9cm
cosine law
Cos A = [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144
Cos B = [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36
Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex] = -13/52
A = Cos⁻¹ (141 /144 )
B = Cos⁻¹ (21/ 36 )
C = Cos⁻¹ (-13/52 )
Thus Angle A < Angle B < Angle C.
Therefore, Angle A is the greatest in the triangle.
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For what duration of a second does the human eye perceive an image after looking away?
A.
one-twelfth
B.
one-fourteenth
C.
one-sixteenth
D.
one-tenth
E.
one-thirteenth
Answer:
B. One-fourteenth
Step-by-step explanation:
The afterimage may remain for 28 seconds or longer. The apparent size of the afterimage depends not only on the size of the image on your retina but also on how far away you perceive the image to be. When you look at your hand, you see the negative afterimage on your hand.
If Jacob has 12 gallons of soda for a Christmas party, how many pints of soda does he have?
Hector left his house at (−6, 13) on a map of Coleville and walked to the zoo at (−6, 2). From there he walked east to his friend’s house. He walked a total distance of 25 blocks. If each unit on the map represents one block, what are the coordinates of Hector’s friend’s house?
:( this is hard....
What is the next term of the arithmetic sequence? -3,0,3,6,9,−3,0,3,6,9,minus, 3, comma, 0, comma, 3, comma, 6, comma, 9, comma
Answer:
12
Step-by-step explanation:
Given the arithmetic sequence :
-3,0,3,6,9
Using the relation :
Tn = a + (n- 1) d
d = common difference = t2 - t1 = 0 - (-3) = 3
The next term = 6th term ; n = 6
a = first term
T6 = - 3 + (6 - 1)3
T6 = - 3 + (5)3
T6 = - 3 + 15
T6 = 12
Which 3 relationships are true in the construction below?
Answer:
The correct options are;
Line CD is the perpendicular bisector of line AB
Line segment AB is perpendicular to line CD
Line segment AE is congruent to line segment BE
Step-by-step explanation:
From the construction, we have that the radius of circle A is equal to the radius of circle A as the circumference of circle A passes through the center of circle A
Therefore, the construction is the bisection of line segment AB by the construction of the perpendicular bisector CD, from which we have line segment AE is congruent to line segment BE and line segment AB is perpendicular to line CD
Can you guys help me with these questions?
Answer:
13. 23 boat rides; 22 are full, and the first one has 301 passengers.
12. $11,067.50
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how much tape would the teacher need to hang up 10 student projects?
The teacher would need 40 centimeters of tape to hang 10 student projects.
Step-by-step explanation:
Given,
Tape used to hang projects = 36 centimeters
Number of projects hanged = 9
We will find unit rate;
9 projects = 36 centimeters
1 project = \frac{36}{9}\ centimeters
9
36
centimeters
1 project = 4 centimeters
Therefore,
Tape needed to hang 10 projects = 4*10 = 40 centimeters
The teacher would need 40 centimeters of tape to hang 10 student projects.
Keywords: unit rate, multiplication
Solve the problems. 1 Determine if each equation is true Choose True or False for each equation. a. 4.25 X 10^6 425,000 b. 6.38 X 10^9=638,000,000,000 True False True False True False True False 5.11 X 10^-2=511 d. 2.79 x 10^-4 = 0.000279
I'll mark brainlyest
Answer:
a. False
b. False
c. False
d. True
Step-by-step explanation:
a. 4.25 x 10⁶ = 425,000 (false) should be 4,250,000
b. 6.38 x 10⁹ = 638,000,000,000 (false) should be 6,380,000,000
c. 5.11 x 10⁻² = 511 (false) should be 0.0511
d. 2.79 x 10⁻⁴ = 0.000279 (true)
Answer:
True
False
False
True
Step-by-step explanation:
Which statement below is not true about plant cells.
1.a plant cell has a larger vacuole than a animal cell
2.a plant cell has a cell wall while an animal cell does not
3.a plant cell has chloroplasts which contain chlorophyll and carry out photosynthesis
4.the nucleus in a plant contains DNA while the nucleus in an animal cell does not.
Please and thank you
Answer:
4
Step-by-step explanation:
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =
Answer:
Step-by-step explanation:
given: (2,1) & (5-8)
first find the slope,
m= (Y2-Y1) / (X2-X1)
m=(-8-1)/(5-2)
m=(-9)/(3)
m=-3
we have y=-3x+b
use any point to sub in x and y
1=-3(2)+b
1+6=b
b=7 therefore, y=-3x+7 is the equation
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1 ), then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
All items produced in a factory are checked for defects. Of the 300 items checked, 3% were found to be defective. How many of the items are defective?
Answer:
3%×300,=900
900÷100=9
Step-by-step explanation:
answer is 9
Answer:
291
Step-by-step explanation:
no prob
Given: m∠AEB = 45°
∠AEC is a right angle.
Prove: Ray E B bisects ∠AEC.
3 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Proof:
We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying the ______________
gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since Ray E B divides ∠AEC into two congruent angles, it is the angle bisector.
Select a sentence to fill in the blank.
Segment addition property
angle addition postulate
reflective property
transitive property
Answer:
Answer is B. angle addition postulate
Step-by-step explanation:
-UvU-
Given mn, find the value of x.
The value of the angle x in the given set of parallel lines is 62°.
Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,
We need to find the value of x,
Here, we can use the property of corresponding angles to find the value of x.
Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.
In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.
Since the corresponding angles are equal, we can set up the equation:
180° - x = 118°
x = 62°
Hence the value of x is 62°.
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Find the values of the variables. 9th/10th grade level (see picture)
Answer:
1.) x = 30
2.) y = 15
Step-by-step explanation:
(3x - 40)° and (2x - 10)° are vertical angles, so they will always be the same
1.) 30
3x - 40 = 2x - 10
3x - 2x = 40 - 10
x = 30
2.) 15
(6y - 10)° + (6y + 10)° = 180°
6y + 6y + 10 - 10 = 180
12y = 180
12y/12 = 180/12
y = 15
Answer:
stop telling people to do your homework on canvas!
Step-by-step explanation:
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
What is the total number of students in Ms. Cunningham’s class?
Answer:
30 students
Step-by-step explanation:
18 divided by 3 is 6
6 x 2 = 12
12 + 18 = 30
Answer:
30 i just took the test 28m ago and it said it was right
Step-by-step explanation:
What is the area of this parallelogram?
Answer:
A= 28
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Are the triangles congruent? and why?
Answer:
Yes the triangles are congruent
Step-by-step explanation:
since
AB=CD
AD=CB
and BD= BD (common sides)
Therefore
the two triangles are congruent
Plsss help me and I’ll give brainliest
Answer:
Bonnie is correct
Step-by-step explanation:
Ok so bonnie said to buy five shirts so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.
Answer:
Susan is correct
Step-by-step explanation:
220-450+9
Will mark brainliest
Answer:
220_450×9 =-221Step-by-step explanation:
I hope l helped you .Please follow me. ❤❤Find measures of complementary, supplementary, vertical, and adjacent angles VZ
The measure of an angle is nine times the measure of its supplementary angle. What is the
measure of each angle
Answer:
The measure of the angle is 150°, the measure of its supplementary is 30°
Step-by-step explanation:
The given parameters are;
The measure of the given angle = 5 × The measure of its supplementary angle
Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;
x = 5 × y...(1)
x + y = 180°...(2)
By substituting the value of x = 5 × y, from the first equation into the second equation, we have;
x + y = 180°
x + y = 5 × y + y = 5·y + y = 6·y = 180°
y = 180°/6 = 30°
y = 30°
x = 5 × y = 5 × 30° = 150°
x = 150°
The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.
Tell whether the ratios form a proportion.
2:45, 34:310
Find the x-intercept: 5y-2x=17
x-intercept:
(−17/2, 0)
y-intercept:
(0, 17/5)
A solution to a linear inequality is shown below. The solution steps may not all be correct.
Solve: 4(x - 2) <6(x+3)
Step 1: 4x – 8 < 6x + 18
Step 2: -2x – 8< 18
Step 3: -2x < 26
Step 4: x>-13
Which steps in the solution follow correctly from the
previous step? Select all that are correct
(Select all that apply.)
Step 1
Step 2
Step 3
Step 4
Answer:
Step 3
Step-by-step explanation:
4x - 8 < 6x + 18
4x - 6x < 18 + 8
- 2x < 26
The steps in the solution that follows correctly from the previous steps are:
Step 1
Step 2
Step 3
Step 4
All the options are correct.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4(x - 2) < 6(x+3)
Removing the parenthesis.
Step 1:
4x - 8 < 6x + 18
Subtracting -6x on both sides.
4x - 8 - 6x < 6x + 18 - 6x
Step 2:
-2x - 8 < 18
Add 8 on both sides.
-2x < 18 + 8
Step 3:
-2x < 26
Divide both sides by 2.
-x < 13
Multiply - on both sides.
The sign will change.
Step 4:
x > -13
We see that,
All the steps are given correctly.
Thus,
The steps in the solution that follows correctly from the previous steps are:
Step 1
Step 2
Step 3
Step 4
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Mateo’s aunt bought a share of Netflix stock many years ago.
The value of the stock increased by `80\%`.
Its value is now `\$270`.
What was the value of the Netflix stock when Mateo’s aunt bought it?
Answer:
150
Step-by-step explanation:
80+100=180
270/180=1.5
15*100=150
Answer:
150
Step-by-step explanation:
In the isosceles trapezoid, m∠S=68∘ .
What is m∠Q ?
9514 1404 393
Answer:
112°
Step-by-step explanation:
Same-side angles of a trapezoid are supplementary.
m∠P = 180° - m∠S = 180° -68° = 112°
The angles of an isosceles trapezoid match their symmetrical counterparts.
m∠Q = m∠P
m∠Q = 112°