Answer:
1 third
Step-by-step explanation:
Have a blessed day!
Proving the Single Opposite Side Pair Theorem Given: AD=BC and AD BC prove:ABCD is a parallelogram
Answer:
8 parts
Step-by-step explanation:
1. AD≅BC Given
2. AD║BC Given
3. ∠DAC and ∠BCA Def. of alt.
are alt. interior angles interior angle
4. ∠DAC ≅ ∠BCA alternate interior angle theorem
5. AC ≅ AC reflexive property
6. ΔDAC ≅ ΔBCA SAS
7. AB ≅ CD CPCTC
8. ABCD is a parallelogram parallelogram side theorem
The proof of ABCD is a parallelogram is given in the solution.
What is a parallelogram?In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
The proof is as follows :-
AD≅BC (Given)
AD║BC (Given)
∠DAC and ∠BCA (alternate angles)
∠DAC ≅ ∠BCA (alternate angle)
AC ≅ AC (common)
ΔDAC ≅ ΔBCA (SAS rule)
AB ≅ CD (CPCT)
Hence,
ABCD is a parallelogram (by the definition of parallelogram)
Hence, proved.
Learn more about parallelogram, click;
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Find the 13th term of the geometric sequence 4, -16, 64, ...
Answer:
67108864
Step-by-step explanation:
Simply multiply by -4 until its the 13th number.
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
Answer:
21.9°
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
We solve this above question using the Sine rule
a/sin A = b/sin B
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.
Hence:
HI/∠J = JH/∠H
= 8/sin 90° = 1.9/sin ∠H
Cross Multiply
∠H = arc sin(sin 1.9 × 90/8)
∠H = 21.9°
Multiply.
9i (5-2i)=
Answer:
The answer is 45i + 18
since i *i=-1
write the equation of the line that passes through the given point and has the given slope.
(4,2) slope=3
vera está usando su teléfono. Su batería está a 2/5 de capacidad, y esta baja 1/9 cada hora. ¿Cuántas horas durará la batería?
Answer:
3.6 hours
Step-by-step explanation:
The computation of the number of hours will the battery last is given below:
Given that
The capacity of her battery is 2 by 5
And, it declines 1 by 9 for every hour
So,
[tex]= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}[/tex]
= 3.6 hours
Stella had 30 minutes to do a three-problem quiz. She spent 9 7/10
minutes on question A and 5 2/5 minutes on question B. How much time did she have left for question C?
Answer: 14 9/10 mins left
Step-by-step explanation: 9 7/10 + 5 2/5 five and two fifths=5 4/10 9+5=14
7/10+4/10=1 1/10 1 1/10+14=15 1/10 30-15 1/10=14 minutes and 54 seconds
i am confused please help
Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A = [tex]\frac{(6-2)\times 180}{6}[/tex]
A = 120°
Similarly, interior angle of the regular pentagon,
B = [tex]\frac{(5-2)\times 180}{5}[/tex]
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D = [tex]\frac{(8-2)\times 180}{8}[/tex]
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
Can someone help. “At the market you can buy 5 bags of apples for $23.60. At the orchard you can get 7 bags of apples for $32.76. Which is the better deal?”
Answer:
7 for $32.76
Step-by-step explanation:
23.60/5 is $4.72
32.76/7 is $4.68
Answer: $4.72
Step-by-step explanation:
To solve this problem we need to find the unit price of a bag of apples(one bag)
Thus, simply do 23.60/5 to get 4.72 and 32.76/7 to get 4.68. Because 4.68 < 4.72, the orchard is a better deal.
Hope it helps <3 :D
a • a • a • a
Please answer!!!
Answer:
A to the 4th power
Step-by-step explanation:
Answer:
Where the question?
Step-by-step explanation:
Kylie bought 10 chicken wings for $15. What was the cost of the wings in wings per dollar?
Answer: $2.50
Step-by-step explanation:
1.5$ per wing
I like chicken wings
Complete this statement using >,<, or =
- 12
-41
Answer:
>
Step-by-step explanation:
-12 is closer to 0 than -41 would be therefore -12>-41.
Answer:
>
Step-by-step explanation:
Looking at a number line, -41 is farther from 0 than -12.
See the image below.
The farther left a number is on a number line, the smaller it is.
The farther right a number is on the number line, the larger is it.
So:
-12 > -41
The choir group is going to a concert and will use 8 vans. There are 23 boys and 25 girls. How many students will fit in each van?
Answer:
6
Step-by-step explanation:
23+25=48
48÷8=6
Evaluate the expression 2 x (3 + 1) + 2.
Answer:8x+2
Step-by-step explanation:
Someone help please
I'm asking this question again! Please answer correctly, nonsense will be reported!
PLEASE HELP!!
Solve the inequality:
2x – 3 < x + 2 < 3x + 5
Show your work.
Answer:
2x-3<x+2<3x+5
2x-3<x+2 or 2x-x<2+3 or x<5
x+2=3x+5 or x-3x<5-2 or 2x<3
Step-by-step explanation:
plz brainless
Please help me ASAP , thank you
Find RSQ and TSQ I will Brainliest
Answer:
Hey there!
15x-43+8x+18=90
23x-25=90
23x=115
x=5
RSQ=15(5)-43, or 32
TSQ=8x+18, or 58
Let me know if this helps :)
Step-by-step explanation:
Write the slope-intercept form of the equation of the line.
slope = -10, y-intercept = 5
Write the slope-intercept form of the equation of the line.
through: (-5,-1), slope = 2/5
Write the slope-intercept form of the equation of the line.
through: (5,0) and (-5,2)
Write the slope-intercept form of the equation of the line.
through: (-5,0), parallel to y = -x + 2
1
Write the slope-intercept form of the equation of the line.
through: (4,1), perpendicular to y = -2x + 5
Answer:
y = -10x + 5 and y = 2/5x + 1
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
for your first problem, just plug in the m and b values to complete the equation.
1.) y = mx + b ⇒ y = -10x + 5
plug in -10 for x (slope) and 5 for b (y-intercept)
and for the second problem...
since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)
1.) plug in -1 for y
y = mx + b ⇒ -1 = mx + b
2.) plug in 2/5 for m
-1 = mx + b ⇒ -1 = 2/5x + b
3.) plug in -5 for x
-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b
now it's time to solve for b! start by multiplying 2/5 and -5.
-1 = 2/5(-5) + b ⇒ -1 = -2 + b
add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.
and you're left with 1 = b! :)
therefore, y = 2/5x + 1
i hope this helps! have a great day <3
A building is 456 feet tall and 95 feet wide. If a scale model of the building is 12 inches tall, what
is the width of the scale drawing?
A.
3.1
B.
2.8
C.
2.5
D.
2.1
B
Ob
D
C С
od
4
Answer:
I think the answer is C
Step-by-step explanation:
456÷12= 38
95÷38= 2.447 (about 2.5)
Simplify 3f-2f+f I need a answer for that please
Answer:
2f
Step-by-step explanation:
3f-2f+f | Given
1f + f | Subtract 3f and 2f
2f | Add 1f and 1f.
how do i solve this??
Answer: DNE, no solution
Step-by-step explanation:
You cant take the even root of a negative number without introducing the imaginary number 'i'
I have 2 lines in this graph I need to know which line has a slope of one and which has a slope of 2
Answer:
what graph
Step-by-step explanation:
HELP PLEASE!! I'm giving brainliest to the person who gives me a full correct answer! you'll get 50 points for answering and when i give you brainliest it will give you the other 50 automatically!!!! thank you so much
----------------------------------
1)
Fact :: Reason
∠DCE = 90° :: sin ∠EDC = sin 30° = 1/2 = 8/16 = CE/DE
∠ACB = 90° :: ∠DCE and ∠ACB are vertical angles
∠ABC = 60° :: 180 - ∠CAB - ∠ACB = 60°
∠CED = 60° :: 180 - ∠EDC - ∠DCE = 60°
△CDE ⁓ △ABC :: Same angles (AAA)
2)
Let's solve for AB
sin 30° = 1/2
sin 30° = BC/AB = 15/AB
1/2 = 15/AB ⇒ AB = 30
AB = 30 in
Let's solve for AC (using another way)
AC/12 = 15/8
AC = 12 * 15 / 8 = 22.5
AC = 22.5 in
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Hope I could help you! If there was anything you didn't understand, don't be afraid to ask in the comments below!
Have a good day! (●'◡'●)
PLEASE HELP I HAVE 3 MINUTES TO TURN THISS IN HELPPPP!!!!! You bought 10 Frisbees for $11.90. What was the cost per Frisbee?
Answer:
each frisbee costs $1.19
Answer:
It should be $1.19 I hope this helps
Step-by-step explanation:
Carlos walked to school on 14 of the 20 school days in February. Which value is equivalent to the fraction of the school days in February that Carlos walked to school?
Find the value of n that makes equation true.
5n =20
n + 5 = 10
2n = 3
n + 5 = 13
Answer:
5(4) = 20
5 + 5 = 10
2(1.5) = 3
8 + 5 = 13
Step-by-step explanation:
Which set of letters puts the mixed numbers in order from greatest to least?
Answer:
D
PLZ MARK AS BRAINLIEST
what is the sum
-5.7+ (-4.2)=
please answer
Answer:
-5.7-4.2=-9.9 is answer
Use the equation below to find the axis of symmetry in the given problem