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Related Questions
Need help with these two questions
31.
Given: AB || DC , AD || BC
Prove: ΔABC ≅ ΔCDA
Statements Reasons
1. AB || DC 1. Given
2. ∠BAC ≅ ∠DCA 2.
3. AD || BC 3. Given
4. ∠ACB ≅ ∠CAD 4.
5. AC ≅ AC 5.
6. ΔABC ≅ ΔCDA 6.
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Answer:
i dont know if this is right but i put
31)
2. alternate angles
4. alternate angles
5. reflexive property
6. ASA
32)
1. DEC, EDC, DC
2. AAS
3. def. of congruent triangles
4. ACE
5. def. of isosceles triangle
If AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that AB || DC and AD || BC
We need to prove that ΔABC ≅ ΔCDA.
Which means ΔABC is similar to ΔCDA.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
1. AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
Hence, AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
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At 4:00 AM, the temperature is – 12 ·F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?
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Answer:
-18
Step-by-step explanation:
Answer:
6 degrees F
Step-by-step explanation:Since it was at 12 and it was 4 am.Going down 3 degrees by the hour and it six do 12-3-3.
Gloria and her 3 friends will share a pizza equally.
Which fraction shows the portion of the pizza
each person will receive?
A. 1/4
B.1/3
C.3/8
D.3/4
Answers
its A cause each person gets one slice of pizza and u have to include Gloria.
hope it helped
A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn
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Answer:
5.18%
Step-by-step explanation:
5.76 x 100 = 576
576 ÷ 100 = 5.184
5.184 = 5.18%
I'm having trouble with this problem
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Answer:
the first and third should be the correct answer I hope this helps
A box contains 1 3/4 cups ponds of pancake mix. Jada used 7/8. What fraction of the pancake mix in the bow did she use?
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1 3/4 - 7/8= 7/8
Carl is having a party. He has bought 24 brownies and is making 6 more batches of brownies. The inequality below can be used to determine how many brownies, b, must be in each batch so that all 138 guests get at least 1 brownie. Determine which of the given values, if any, make the inequality true: b=10, b=15, b=20 *
Answers
Answer:
b = 20
Step-by-step explanation:
The computation is shown below
Given that
24+ 6b > 138
where
b = 10
b = 15
b = 20
So if we take b = 10
= 24 + 6(10)
= 24 + 60
= 84
B = 15
= 24 + 6(15)
= 24 + 90
= 114
B = 20
= 24 + 6 (20)
= 24 + 120
= 144
So if we take b = 20 the inequality would be true
in the trepezium,a=7cm,b=10.4cm and h=6.7cm.work out the area of the trepezium.
Answers
Answer:
58.29
Step-by-step explanation:
1/2 × (7+10.4) × 6.7
= 58.29
A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? Be sure to round your answer to the nearest hundredth.
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Answer: 17.82
Step-by-step explanation:
1.15 x 15.50 = 17.825
17.825 rounded to the nearest hundreth is 17.82
A school track is shown. 1000 m 74 m The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What is the distance, in meters, around the entire track? Use the a button on your calculator and express your answer to the nearest hundredth. The distance is meters.
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Answer:
You have Rs 2,400 in your account and the interest rate is 5%. After how many years
would you earn Rs 240 as interest.
Step-by-step explanation:
Distance around entire school track = 2232.48 meters
What is perimeter?In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.
Given,
Straight length of the track = 1000 meters on each side
total straight length = 2 × 1000 = 2000 meters
Curves are semicircles on each side having diameter of 74 meters
which makes a complete circle
Perimeter of circle = π × diameter
= π × 74 = 232.477856 meters
Total distance in meters = 2000 + 232.477856
= 2232.477856
Hence, 2232.48 meters is the total distance around the entire track.
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what is 41,250 written in scientific notation
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Why is 41,250 written as 4.125 x 104 in scientific notation?
Sara was making a cookies and she needs ½ cup of Chocolate chips and 2/3 cup of sugar. She accidently put in 1 cup of sugar. How many cups chocolate chips does she need now?
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Answer:
3/4 cups of Chocolate chips is needed
Step-by-step explanation:
Sara was making a cookies and she needs ½ cup of Chocolate chips and 2/3 cup of sugar. She accidently put in 1 cup of sugar. How many cups chocolate chips does she need now?
From the above question:
2/3 cup of sugar = ½ cup of Chocolate chips
1 cup of sugar = x
Cross Multiply
2/3 cup of sugar × x = ½ cup of Chocolate chips × 1 cup of sugar
x = ½ cup of Chocolate chips × 1 cup of sugar/ 2/3 cup of sugar
x = 1/2 ÷ 2/3
x = 1/2 × 3/2
x = 3/4 cups of Chocolate chips
Therefore, for 1 cup of sugar , 3/4 cups of Chocolate chips is needed
Could anyone help me on this question?
Answers
Answer:
it A ;)
Step-by-step explanation:
In ΔDEF, e = 49 cm, d = 73 cm and ∠D=52°. Find all possible values of ∠E, to the nearest degree.
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Answer: 32
Step-by-step explanation:
how do you put this into a decimal equivalent
8 4/9=
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Answer:
8.44444444444
Step-by-step explanation:
hope this helped
Answer:
8.44!!
Step-by-step explanation:
hope this helps!!
Love: Deku <3
Find the value of "c". 4c + 18 = 74 *
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[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
If (2x + 4) - (x + 3) = 15, then x =
Answers
Answer:
x=14
Step-by-step explanation:
which expression has value of 15 when = 12?
[tex] \frac{18}{p} \: \: \: \: \: \: \: \: [/tex]
or
3p
or
18-p
or
p+3
someone please help me im failing math
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Answer:
I think its 3p not sure but u can try that
Solve the system by substitution
2x + y = -14
y = -2x + 14
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Answer:
Step-by-step explanation:
d
At 4:00 AM, the temperature is 12 F. If the temperature drops 3 F per hour, what will the temperature be at 6:00 AM?
Answers
Answer:
6F
Step-by-step explanation:
it is 6 f because at 4:00 a.m. it is 12 f and it drops 3 per hour and I know that 4:00 a.m. to 6:00 a.m. is 2 hours and 2 times 3 is 6 and 6 minus 12 is 6
Determine whether the paired values represent a proportional relationship.
(-2,-4).(-1, - 2).(1, 2).(2, 4)
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Answer:
(-1,-2) is the correct one but they all are the same
the quadratic function f(x)=x^2-8x-4.
Answers
Answer:
f(x)=(x-4)^2-20
Step-by-step explanation:
hope this helps!
Please help me with this geometry problem, tysm
Answers
9514 1404 393
Answer:
x = 6∠NBS = 68°Step-by-step explanation:
The sum of the two adjacent angles is equal to the angle that includes both.
∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem
(12x -4) +42 = (17x +8)
30 = 5x . . . . . . . . . . . . . . subtract 12x+8
6 = x . . . . . . . . divide by 5
__
Then the measure of ∠NBS is ...
∠NBS = 12x -4 = 12·6 -4
∠NBS = 68 . . . . degrees
Solve the proportion: x/42 = 3/7
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Answer: x=18
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 7.
Is (1, 4) a solution to this system of equations? 3x + y = 7
3x + 3y = 15
A. N o, (1, 4) is not a solution.
B. Yes, (1, 4) is a solution.
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Jeremy stores DVDs on a bookshelf in his living room. If the bookshelf has 6 shelves, and a maximum of 33 DVDs can fit on each
shelf, what is the maximum number of DVDs Jeremy could store on the bookshelf?
OA. 298
ОВ.
198
OC.
178
OD. 208
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compare between x=ab+1 and y=a+b
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Answer:
[tex]y = a + b \\ a = y - b = = = > (i) \\ x = ab + 1 \\ x = (y - b)b + 1 \\ x = yb - {b}^{2} + 1 \\ yb = x + {b}^{2} - 1 \\ y = \frac{1}{b} (x + {b}^{2} - 1)[/tex]
Answer:
ab=x-1
a=y-b
x-1=(y-b)b
X-1/y-b=b
find y when x=4, if y=7 when x=14
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Answer: y = 2 when x = 4
i looked for a correlation in the given problem, and i realized that "y" will equal half of whatever "x" equals. so when x = 4, y = 2.
The relationship “3 students out of 5 students" is an example of
Answers
Answer:
3/5
Step-by-step explanation:
It is an example of 3/5ths of a students
The relationship “3 students out of 5 students” is an example of a Fraction.
What is a fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given a statement, 3 students out of 5 students;
This can be written as 3/5 which describes a fraction.
Hence, The given relationship is an example of fraction.
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Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x-2y)
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Answer:
[A] x² + 2x
[B] 2x² - 5x
[C] 6x² + 8x
[D] 6x² - 12xy
Explanation:
x(x + 2)Apply Distributive Law: a(b + c) = ab + ac
x(x + 2) = xx + x · 2
Simplify:
x² + 2x
x(2x - 5)Apply Distributive Law: a(b - c) = ab - ac
x(2x - 5) = x · 2x - x · 5
Simplify:
2x² - 5x
2x(3x + 4)Apply Distributive Law: a(b + c) = ab + ac
2x(3x + 4) = 2x · 3x + 2x · 4
Simplify:
6x² + 8x
6x(x - 2y)Apply Distributive Law: a(b - c) = ab - ac
6x(x - 2y) = 6xx - 6x · 2y
SImplify:
6x² - 12xy
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