Answer:
123
Step-by-step explanation:
83-20 x 2
83 +40
=123
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.
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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Sandy needs to create a triangular structure for her science project. She has two
pieces of bamboo measuring 6.5 inches and 8.1 inches. How long must her third piece
of bamboo be in order to create a triangle?
A 14.4 inches
B 14.6 inches
C 1.4 inches
D 1.6 inches
Answer:
The third piece must be 14.4 inches
Step-by-step explanation:
We use the triangle inequality theorem to get the third side
using the theorem, it must be that the sum of the two will be greater than the length of the third side
Hence we have it that;
a + b > c
6.5 + 8.1 > c
14.6 > c
So what this mean is that the third length is less than 14.6
the reasonable answer out of the options is thus 14.4 inches
reason for this is that the last two options will also not follow the inequality theorem
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x-2y)
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
- Pacific Northwest
A rectangle has sides of 3 cm and 5 cm. A similar
rectangle is dilated by a scale factor of 2. Find its
dimensions.
06 cm by 10 cm
01.5 cm by 2.5 cm
O2 cm by 3 cm
O2 cm by 2.5 cm
Answer: 6cm by 10cm
Step-by-step explanation: Any scale factor greater than one will increase the size or area of the shape. since 2 is greater than one multiply to find the new dimensions
Stock prices fell 250 points one day and 60 points the next day. What is the average change in stock prices over the two days
Answer:
the average change in stock prices over the two days is -155
Step-by-step explanation:
The computation of the average change in stock price over the two days is shown below:
= (-One day points - second day points) ÷ number of days
= (-250 points - 60 points ) ÷ 2 days
= -310 points ÷ 2 days
= -155
Hence, the average change in stock prices over the two days is -155
We simply applied the above formula so that the average change could come
Solve the proportion: x/42 = 3/7
Answer: x=18
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 7.
The sum of two numbers is 58. If there difference is 28, find both numbers
Answer:
y = 15
x = 43
Step-by-step explanation:
this is giving us a system of equations because we know two things:
x + y = 58
x - y = 28
take the second equation and format it where you have simplified it for one variable:
x = 28 + y
(we did this by adding y to both sides)
now substitute this new value of x into the first equation:
28 + y + y = 58
simplify this to get 2y = 30
divide both sides by 2: y = 15
now substitute your new value of y into the second equation:
x = 28 + 15
x = 43
when f(n) =12, what is rhe value of n
Answer:
When f(n) = 12, what is the value of n? Answer: n=5
Step-by-step explanation:
Solve the system by substitution
2x + y = -14
y = -2x + 14
Answer:
Step-by-step explanation:
d
HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
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 *
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
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.
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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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
Answer:
I think its 3p not sure but u can try that
Find the value of "c". 4c + 18 = 74 *
[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.
Read the paragraph. When young people are encouraged to take risks, they build confidence in their own decision-making skills and capabilities. Consider Winston, a ninth grader willing to try out for a varsity sport or a competitive performance band. He risks failure and personal embarrassment, but he learns the tryout process. He may also learn his personal strengths and shortcomings. Whether he is met with success or not, the risk-taking experience fosters self-reflection and growth. What central idea is explicitly stated in the paragraph? Young students should compete in varsity athletics. Students learn about themselves by taking risks. Students benefit from high-level competition. Young students are nervous during tryouts.
Answer:
B
Step-by-step explanation:
Based on the definition of a central Idea, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.
What is the central Idea in the paragraph?The central Idea of a paragraph is the main theme or topic which the reader is expected to learn or remember.
According to the paragraph, when young people are encouraged to take risks, it helps them build self-confidence.
Even though the results of taking such risks may not be successful, the young person gets to know more about his strengths and weaknesses.
Therefore, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.
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In ΔDEF, e = 49 cm, d = 73 cm and ∠D=52°. Find all possible values of ∠E, to the nearest degree.
Answer: 32
Step-by-step explanation:
5w + 4 =-16 help me plz
Answer:
w = -4Explanation:
5w + 4 = -16
Subtract 4 From Both Sides5w + 4 - 4 = -16 - 4
Simplify5w = -20
Divide Both Sides By 55w / 5 = -20 / 5
Simplifyw = -4Is (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.
find y when x=4, if y=7 when x=14
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.
I'm having trouble with this problem
Answer:
the first and third should be the correct answer I hope this helps
1. When graphing a system of equations with no solution, the slopes of the two lines will be
9514 1404 393
Answer:
the same
Step-by-step explanation:
A system of linear equations with no solution graphs as parallel lines. The slopes of the lines are the same.
A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? Be sure to round your answer to the nearest hundredth.
Answer: 17.82
Step-by-step explanation:
1.15 x 15.50 = 17.825
17.825 rounded to the nearest hundreth is 17.82
Bob took a total of 30 quizzes over the course of 5 weeks. After attending 8 weeks of school this quarter, how many quizzes will Bob have taken in total. Solve using unit rates
Answer:
Step-by-step explanation:
total= 5/8
Answer:
48 quizzes
Step-by-step explanation:
1. divide 30 by 5 to see how many quizzes he took each week
30/5 = 6
Bob took 6 quizzes each week
2. multiply 8 weeks by 6 quizzes per week
8 x 6 = 48
48 quizzes
:))))
how do you put this into a decimal equivalent
8 4/9=
Answer:
8.44444444444
Step-by-step explanation:
hope this helped
Answer:
8.44!!
Step-by-step explanation:
hope this helps!!
Love: Deku <3
increase 40 pounds by 70%
Increase total = original amount x (1 + increase rate)
40 x (1 + 0.70)
40 x 1.7 = 68
The answer is 68
68 is the answer hope it help's
NEED HELP NOW PLEASE!!!! D;
A student answered 72 problems on a test correctly and received a grade 83%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)
Answer:
There were 86 problems on the test.
Step-by-step explanation:
72/87 = y/100
You use cross multiplication to solve. When you do this, you get the answer 86.75 problems, but since you can't have .75 of a problem, the answer is 86.
A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn
Answer:
5.18%
Step-by-step explanation:
5.76 x 100 = 576
576 ÷ 100 = 5.184
5.184 = 5.18%
please help me !!! :))))
Answer:
12.4 in
Step-by-step explanation:
I whish i can help :)
Answer:
13.6
Step-by-step explanation:
We can use the pythagorean therom since we know the 2 side leanths and solve for the longest side of the triangle which is the rectangle cut diagonally
11^2+8^2=c^2
121+64=c^2
185=c^2
√185= √c^2
13.6=c
Hope that helps !
Please please help me I really need help please
Answer:
s = 25y + 85
Step-by-step explanation:
Answer:
s = 25y + 85Step-by-step explanation:
Initial number = 85Yearly added = 25Number of years = yTotal = sThe relationship is:
s = 25y + 85