Answer:
3 because it just is and that's just why because it is the answer is 3
How do you A
number divided by
Answer:
that is a example of division problem if u have any other questions about division just ask I will help u the best I can
Step-by-step explanation:
7.4
Practice A
In Exercises 1-5, the diagonals of rhombus ABCD intersect at E. Given that
mZEAD - 67', CE - 5, and DE 12, find the indicated measure.
1. MZAED
5
2. MZADE
E
12
3. MZBAE
67
44E
5. BE
In Exercises 6 and 7, find the lengths of the diagonals of rectangle JKLM.
6. JL = 3r + 4
7. JL = 2x - 6
KM = 4x - 1
KM
*+1
In Exercises 8 and 9, decide whether quadrilateral WXYZ is a rectangle, a
rhombus, or a square. Give all names that apply. Explain your reasoning.
8. W(3, 1), X(3,-2), Y(-5, -2), 2(-5, 1) 9. W(4, 1), X (1,4), Y(-2, 1), Z(1, -2)
Р
o
R
a
10. Use the figure to write a two-column proof.
Given: PSUR is a rectangle.
PQ E TU
Prove: OS = RT
S
U
11. In the figure, all sides are congruent and all angles are right angles.
B
a. Determine whether the quadrilateral is a rectangle.
Explain your reasoning.
b. Determine whether the quadrilateral is a rhombus.
Explain your reasoning
c. Determine whether the quadrilateral is a square.
Explain your reasoning.
d. Find m2AEB.
D
e. Find mZEAD.
The properties of the quadrilaterals gives the equivalent relations used
to find the lengths and the angles.
Response:
1. m∠AED = 90°
2. m∠ADE = 23°
3. m∠BAE = 67°
4. AE = 5
5. BE = 12
6. 19
7. 22
8. WXYZ is a rectangle
9. WXYZ is a square
10. [tex]\overline{QS} \cong \overline{RT}[/tex] by Corresponding Parts of Congruent Triangles Congruent, CPCTC
11. a. The diagonals are perpendicular and the given figure is not a rectangle
b. The given figure is not a rhombus
c. The figure is a square.
d. ∠AEB = 90°
e. m∠EAD = 45°
Which properties of a quadrilateral can be used to find the required dimensions?1. The diagonals of a rhombus bisect each other at right angles
Therefore;
m∠AED = 90° (by definition of right angles)
2. m∠EAD and m∠ADE are complementary angles
Which gives;
m∠EAD + m∠ADE = 90°
m∠ADE = 90° - m∠EAD
Therefore;
m∠ADE = 90° - 67° = 23°
3. The diagonals of a rhombus bisect the angles, therefore;
m∠BAE = m∠EAD = 67°
4. The diagonals bisect each other, therefore;
AE = CE = 5
5. BE = DE = 12
6. JL = 3·x + 4
KM = 4·x - 1
Which gives;
3·x + 4 = 4·x - 1
4·x - 3·x = 4 + 1 = 5
x = 5
KM = JL = 3 × 5 + 4 = 19
The lengths of the diagonals of rectangle JKLM is 197. JL = 2·x - 6
[tex]KM = \mathbf{\dfrac{3}{2} \cdot x+ 1}[/tex]
Which gives;
[tex]\frac{3}{2} \cdot x+ 1 = 2\cdot x - 6[/tex]
[tex]2\cdot x -\frac{3}{2} \cdot x = 6 + 1 = 7[/tex]
[tex]\dfrac{1}{2} \cdot x = 7[/tex]
x = 2 × 7 = 14
JL = 2 × 14 - 6 = 22
The lengths of the diagonals of rectangle JKLM are 228. W(3, 1), X(3, -2), Y(-5, -2), Z(-5, 1)
WX = 1 - (-2) = 3
YZ = 1 - (-2) = 3
XY = 3 - (-5) = 8
WZ = 3 - 5 = 8
Slope of WX = (1 - (-2)) ÷ (3 - 3) = ∞
Slope of YZ = (1 - (-2)) ÷ (-5 - (-5)) = ∞
Slope of XY = (-2- (-2)) ÷ (3- (-5)) = 0
Slope of WZ = (1- 1) ÷ (3- (-5)) = 0
Therefore;
WX and YZ are perpendicular to XY and WZ
The properties of WXYZ are the properties of a quadrilateral having perpendicular sides.
Given that the sides are not equal, the figure is a rectangle9. W(4, 1), X(1, 4), Y(-2, 1), Z(1, -2)
WX = √((4 - 1)² + (1 - 4)²) = 3·√2
YZ = √((1 - (-2))² + (-2 - 1)²) = 3·√2
XY = √((1 - (-2))² + (4 - 1)²) = 3·√2
WZ = √((1 - (-2))² + (4 - 1)²) = 3·√2
Slope of WX = (4 - 1) ÷ (1 - 4) = -1
Slope of YZ = (-2 - 1) ÷ (1 - (-2)) = -1
Slope of XY = (1 - 4) ÷ ((-2) - 1) = 1
Slope of WZ = (-2 - 1) ÷ (1 - 4) = 1
Therefore;
The lengths of the sides are equal and the sides are perpendicular to each other
Therefore;
WXYZ is a square10. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
PSUR is a rectangle [tex]{}[/tex] Given
[tex]\overline{PR} = \overline{SU}[/tex] [tex]{}[/tex] Opposite sides of a rectangle
[tex]\overline{PQ} \cong \overline{TU}[/tex] [tex]{}[/tex] Given
[tex]\overline{PQ} = \overline{TU}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{PR} = \overline{RQ} + \overline{PQ}[/tex] [tex]{}[/tex] Segment addition postulate
[tex]\overline{SU} = \overline{ST} + \overline{TU}[/tex] [tex]{}[/tex] Segment addition postulate
[tex]\overline{RQ} = \overline{ST}[/tex] [tex]{}[/tex] Addition property of equality
ΔPQS ≅ ΔTUR [tex]{}[/tex] ASA rule of congruency
[tex]\overline{QS} \cong \overline{RT}[/tex] [tex]{}[/tex] CPCTC
11. The properties of a rectangle are;
The interior angles are 90°
The diagonals are not perpendicular to each other
In the given figure, the four triangles formed by the diagonals are congruent, therefore;
The angles at the vertex point of the four tringles are equal to each other and therefore, equal to 90°
Therefore;
The diagonals are perpendicular and the given figure is not a rectangleb. The lengths of the diagonals, are equal, therefore;
The given figure is not a rhombuse. The properties of the figure, which includes;
All sides are equal
The interior angles are 90°
The diagonals are equal and bisect each other at 90° indicate that the figure is a squared. The diagonals of a square are angle bisectors of the interior angles
Therefore;
m∠ABE = m∠CBE
m∠ABE + m∠CBE = 90° by definition of complementary angles
Therefore;
m∠ABE = 90° ÷ 2 = 45°
Similarly;
m∠ABE = m∠BAE = 45°
m∠AEB = 180° - (m∠ABE + m∠BAE)
m∠AEB = 180° - (45° + 45°) = 90°e. m∠EAD = m∠BAE = 45° (angles formed by the diagonal AC)
Learn more about quadrilaterals here:
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please answer thisss
Find the area of the square
Find the area of the circle
Subtract the area of the circle from the area of the square.
area of square = 10 x 10 = 100 sq. Cm
Area of circle = pi x r ^2 = 3.14 x 5^2 = 78.5 sq. Cm
area of shard region = 100 - 78.5 = 21.5 cm^2
Jasmine gets paid to do chores around her house.
• She earns $3.00 every 20 minutes that she cleans the gutters.
• She earns $3.60 every 20 minutes that she mows the lawn.
• It took her 40 minutes to clean the gutters and 2 hours to mow the lawn.
How much money did Jasmine earn?
O $27.60
O $26.40
O $13.20
O $6.60
Answer:
Jasmine earned $27.60
Step-by-step explanation:
3x2 = 6$
(Cleaning gutters)
3.60 x 6 = 21.6
(mowing the lawn)
21.6 + 6 = 27.6 = 27.60
Quadrilateral PQSR is similar to quadrilateral FGHI and QSGH=53.
What is the ratio of the area of PQSR to the area of FGHI?
85
253
259
53
Answer:
25/9 is the answer
the ratio of the area of PQSR to the area of FGHI is 25/9. The correct answer is:
25/9
To find the ratio of the area of quadrilateral PQSR to the area of quadrilateral FGHI, we can use the property that the ratio of the areas of two similar figures is the square of the ratio of their corresponding side lengths.
Given that quadrilateral PQSR is similar to quadrilateral FGHI, we know that the ratio of corresponding side lengths is QSGH = 5/3.
Now, let's find the ratio of the areas:
Ratio of areas = (QSGH)² = (5/3)² = 25/9
So, the ratio of the area of PQSR to the area of FGHI is 25/9. The correct answer is:
25/9
Learn more about quadrilateral here
https://brainly.com/question/21326938
#SPJ2
A roll of wire is cut into 12 pieces. EACH piece is 3/4 meter long. What is the total length of the wire on the roll?????
Answer:
9m
Step-by-step explanation:
3/4 = 0.75
each piece = 0.75
0.75x12=9
Answer:
9 meters.
Step-by-step explanation:
Because there are 12 pieces that were cut.
If each were 3/4 meters then what is 3/4 x 12= 9 meters and that were the length
Have a great afternoon Hope this helps:)
Two consecutive angles of a parallelogram measure 3x+42 and 9x-18. What are the measures of the angles?
The angles are 81 degrees and 99 degrees
============================================================
Explanation:
Consecutive angles, aka adjacent angles, of a parallelogram always add to 180 degrees. They are considered supplementary.
(angle A)+(angle B) = 180
(3x+42)+(9x-18) = 180
(3x+9x)+(42-18) = 180
12x+24 = 180
12x = 180-24
12x = 156
x = 156/12
x = 13
We can then find the measure of each angle
angle A = 3x+42 = 3*13+42 = 81angle B = 9x-18 = 9*13-18 = 99Then notice that A+B = 81+99 = 180 to confirm the answers.
If C = t - 5 and B = t^2 + 2, find an expression that equals 2C + 2B in standard
form.
Answer:
t² + t - 3 = 0
Step-by-step explanation:
C = t - 5
B = t² - 2
2C + 2B
= 2(t - 5) + 2(t² + 2)
= 2t - 10 + 2t² + 4
= 2t² + 2t - 6
=> t² + t - 3 = 0
What is the IQR for the data set? {31, 30, 40, 35, 48, 44, 25} Drag and drop the correct answer into the box.
A.13
B.14
C.15
D.23
Answer:
B
Step-by-step explanation:
IQR is the higher qurtile subtracted by the lower qurtile so higher is 40 and lower is 20 so 14
Hope this helps have a great day:)
ARE THESE Equivalent? 6:7 & 24:28 HELP WILL GIVE BRAINLIST IF CORRECT AND GOOD ANSWER
Technically any two numbers in a ratio that are divisible by the other ratio numbers make them equivalent.
For instance,
[tex]3:6[/tex]
[tex]6:12[/tex]
[tex]Equivalent.[/tex]
Because...
[tex]\frac{3 * 2 = 6}{6 * 2 = 12}[/tex]
Or...
[tex]\frac{3}{6} = \frac{6}{12}[/tex]
The equation above represents, "Divide 3 by 6 and divide 6 by 12". From both equations to here, you now know what to multiply the numbers by to get your answer.
From here, multiply 3 by 2, and, 6 by 2, to get the equivalent ratio, 6:12.
Therefore, 6:7 and 24:28 are equal as 6:7 and 24:28 are, too.
aA sales tax of 6% of the cost of a car was added to the purchase price of Birr 60,000. What is the total cost of the
car including sales tax?
Answer:
$63,600
Step-by-step explanation:
60,000 x 0.06 = 3600
60,000 + 3,600 = 63,600
What is 65,754.59 rounded to the nearest tenth
Answer:
65,7754.6
Step-by-step explanation:
because the tenths place is the place just right of the decimal and any number that is bigger than 4 makes the number to the left round up 5 becomes 6.
Answer:
65,754.6
Step-by-step explanation:
when there is a number greater than 5 after a number you must round just add 1 to the number you have to round
for example if you have to round 1.06 to the tenths it will just be
1.1
What value of x makes the equation true?
-3x + 10 = 5x - 6
You want to purchase a cat tracker. Tracker A detects your cat within a
radius of 4. 102 feet of your home. Tracker B detects your cat within a
radius of 104 feet of your home. Which tracker has a greater radius? *
о
Tracker A
Tracker B
Tracker B has a greater radius and would be able to cover more area.
What is an EquationAn equation is an expression that is used to show the relationship between two or more numbers and variables.
Tracker A has a radius of 4.102 feet, hence:
Area covered = π * 4.102² = 52.86 ft²
Tracker B has a radius of 104 feet, hence:
Area covered = π * 104² = 33979.5 ft²
Tracker B has a greater radius and would be able to cover more area.
Find out more on Equation at: https://brainly.com/question/13763238
72:64=x:16 solve for x
This is in ratio btw
72:64::x:16
72/64 = x/16
72*16 = x*64
x= 72*16/64
x= 18
Hence the answer is 18.
Correct me, if I am wrong :)
Have a great day!
Thanks!
Divide -6.2x10^-4 by 9.75x10^6. Express your answer in scientific notation. Round the coefficient to two decimal places.
Answer:
[tex]-6.36 \times 10^{-11}[/tex]
Step-by-step explanation:
[tex]\dfrac{-6.2\times10^{-4}}{9.75\times10^6}[/tex]
[tex]\implies \dfrac{-6.2}{9.75}\times \dfrac{10^{-4}}{10^6}[/tex]
[tex]\implies \dfrac{-6.2}{9.75}=-6.36\times10^{-1}[/tex]
Apply exponent rule: [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\implies \dfrac{10^{-4}}{10^6}=10^{(-4-6)}=10^{-10}[/tex]
[tex]\implies \dfrac{-6.2}{9.75}\times \dfrac{10^{-4}}{10^6}=-6.36 \times 10^{-1} \times 10^{-10}[/tex]
Apply exponent rule: [tex]a^b \times a^c=a^{(b+c)}[/tex]
[tex]\implies -6.36 \times 10^{-1} \times 10^{-10}=-6.36 \times 10^{(-1-10)}[/tex]
[tex]\implies -6.36 \times 10^{-11}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{-6.2\times 10^{-4}}{9.75\times 10^6}[/tex]
[tex]\\ \rm\hookrightarrow 0.636\times 10^{-4-6}[/tex]
[tex]\\ \rm\hookrightarrow 0.636\times 10^{-10}[/tex]
[tex]\\ \rm\hookrightarrow 6.4\times 10^{-11}[/tex]
Harry has 18 chocolates. Of the 18 chocolates, 4 of them are white chocolate. The rest are milk chocolate. Which fraction is equivalent to the fraction of chocolates that are milk chocolates?
Answer:
14/18
Since 4 out of the 18 chocolates are white, the rest will be 14 milk chocolates
and in total there are 18 chocolates
HELPPP!! I NEED AN ANSWER NOW
5(4x + 2) ÷ 7y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
3x + 1 over 4 y2
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit. (4 points)
Answer:
[tex]2 + 2[/tex]
Step-by-step explanation:
Do this and it come answer
Which one doesn't Belong? and why
Answer:
The graph in the lower left corner does not belong.
Step-by-step explanation:
It does not belong because the other praghs have already intercected or are going to eventually like the upper right corner one.
Have a great day!
Please rate!
David watered 5 plants. Every plant got 8/9 gallons of water. How much water did he use in all? Write your answer in simplest form.
-9.1-3.7x=9x+9.2 rounded to the nearest tenth
Answer:
See below.
Step-by-step explanation:
-3.7x-9.1=9x+9.2
+9.1 +9.1
-3.7x=9x+18.3
-9x -9x
-12.7x=18.3
/-12.7 /-12.7
x=-1.44, or -1.4
-hope it helps
please help me
this is urgent
Answer:
18 cm²
Step-by-step explanation:
The given triangle is a right angled triangle.
By tilting the triangle & placing the 90° to the base side, we can see that,
Base (b) = 6 cm
Height (h) = 66cm
=》Area of the triangle
= ½bh
= ½ × 6 × 6
= ½ × 36
= 18 cm²
■ Refer to the image.
Hope it helps ⚜
leg (a)= 6
leg (b)= 6
to find:the area of the triangle.
solution:[tex]area = \frac{ab}{2} [/tex]
[tex]a = \frac{6 \times 6}{2} [/tex]
[tex]a = 18 \: {cm}^{2} [/tex]
hence, the area of the triangle is 18 square centimeters.
what is 4.87 x 7.23 (show ur work)
Answer:
the answer is 35.2101 explained in image .
Pls help easy i thinkk
Answer:
1 1/2 miles
Step-by-step explanation:
if running 1 lap around a track is 1/2 miles then all we have to do is add it up
so we know that 1/2 miles is one lap
so if he runs two laps we would have run 1 mile
now that we know that he would have ran 1 mile in 2 laps then all we have to do it just add 1 more 1/2 mile in which would give u the answer of 1 1/2 miles or 1.5 miles
Answer: Vance has ran 2.5 miles. In other words 2 and a half miles
Step-by-step explanation:
What property does Line A use?
A. distributive property
B. commutative property
C. addition property of equality
D. division property of equality
E. subtraction property of equality
F. multiplication property of equality
Also what step could be used to solve the equations? The steps are 3x/3 -20= 10/3 3 · 3x-20=10 · 3 3x-20+20=10-20 or 3x-20+20=10+20
Answer:
B. Commutative property
Step-by-step explanation:
In commutative property, changing the order of the operands will not change the result.
5 + 2 = 7 &
2 + 5 = 7
is this correct pls help
Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder = [tex]\pi r^2h[/tex] (where r is the radius and h is the height)
Radius = [tex]\dfrac12[/tex] diameter ⇒ [tex]r=\dfrac72=3.5[/tex]
⇒ volume of round cake pan = [tex]\pi \times 3.5^2 \times 2=24.5\pi[/tex]
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism = [tex]wlh[/tex] (where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
answer the screenshot correctly for a thanks, 5 stars, brainliest, and 5 points!!:)
Answer:
the answer has to be ac+ad+bc+bd
Step-by-step explanation:
Keisha drove 100 mile in 2 hours. at this rate how far will she drive in 6 hours?
Answer:
300 miles
Step-by-step explanation:
Since 2 hours multiplied by 3 equals 6 hours, you need to multiply 100 miles by 3. The answer is 300 miles
Answer:
If Keisha drives about 100 miles in 2 hours, then Keisha will drive [tex]\boxed{\bf\:300}[/tex] miles in 6 hours.
Step-by-step explanation:
Given,
Miles driven by Keisha in 2 hours = 100 milesThen,
Miles driven by Keisha in 1 hour:
= Miles driven in 2 hours / 2
= 100/2
= 50 miles
If she goes at this rate,
Miles driven by Keisha in 6 hours:
= Miles driven in 1 hour × 6
= 50 × 6
= 300 miles
[tex]\rule{150}{2}[/tex]
What are the measures of Angles a, b, and c? Show your work and explain your answers.
A bag contains: • 5 red marbles •6 blue marbles •3 green marbles •4 black marbles • 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
