Solution of Problem 1:
2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10Solution of Problem 2:
82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2Therefore:
Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2Hoped this helped.
[tex]BrainiacUser1357[/tex]
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
(image)
Which statement best describes a flaw in the student's proof?
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
The statement that best describes a flaw in the students' proof is;
Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
From the given image, we can see that;
AB ≅ DC
Let us analyze each given option;
A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.
They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.
B) In ΔABD and ΔBDC, we see that;
AB = DC. Also, by theorem of alternate interior angles, we can tell that;
∠ABD = ∠BDC
Similarly, ∠BDA = ∠DBC from alternate interior angles.
Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.
C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.
D) Corresponding angles lie on the same side of the transversal. In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.
Read more about congruency at; https://brainly.com/question/7727792
If 5 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline 5, what is the value of x? â€"3 â€"2 2 3.
The value of x is 3.
Given that,
If [tex]5 + 20 \times 2^{2-3x}[/tex],
And Baseline = [tex]10 \times 2^{-2x}+5[/tex]
We have to find,
The value of x?
According to the question,
To determine the value of x in the equation following all the steps given below.
Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]
Step1; Subtract 5 from both sides,[tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]
Step2; Divided by 10 on both sides,[tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]
Step3; Rewrite the term into their power form and add the powers,[tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]
Step4; The base is the same on both sides, we equate exponents,[tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]
Hence, The required value of x is 3.
For more details about the Exponent refer to the link given below.
https://brainly.com/question/25959524
5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?
Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.
On the first block, the proportion of families that is gone is:
= Number of families gone / Total number of families on block
= 5 / 12
If there are 60 families on a block, the number gone would be:
= Proportion of families gone x Total number of families
= 5/12 x 60
= 25 families
In conclusion, 25 families would be gone
Find out more on proportions at https://brainly.com/question/11570843.
Please help with this question. I dont want another detention
Step-by-step explanation:
Total Students = 450 (Everything within the sample/rectangle)
Choir = 110
Band = 240
Both = 60 (Where both circles overlap)
110+240+60 = 410 (Total students in Choir or Band or Both)
410 ÷ 450 = 0.91111111
Therefore the probability that a student chosen at random is in the choir, band or both out of the sample is 91%
A_________is a common multiple of two or more denominators
Answer:
(LCM)
Step-by-step explanation:
Least common multiple = LCM
HOPE THIS HELPS :)
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer: C) Today's soup will taste the same
====================================================
Explanation:
The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.
Divide both parts of the ratio by 12 to end up with 0.75:1
9/12 = 0.7512/12 = 1The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.
--------------
Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8
6/8 = 0.758/8 = 1The ratio 6:8 is the same as 0.75:1
---------------
We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.
Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.
Tamara wants to rent a jet-ski. Tamara's deal is to pay $60 to rent the jet-ski, plus $12.50 per hour. If
Tamara has $135 how many hours can Tamara use the jet-ski?
Answer:
6 hours.
Step-by-step explanation:
deal: 135-(60+12.5h)=y
let h= # of hrs
135-60=75.
75/12.5=6 hours.
please help me asap
ty :)
Answer:
y = -1/7x + 1
Step-by-step explanation:
Subtract 3x both sides
21y = 21 - 3x
Divide by 21 both sides
y = 1 - 1/7x
y = -1/7x + 1
Find the area of the shape shown below.
Answer:
14 sq units
Step-by-step explanation:
square - 4
triangle - 4
secong triangle - 6
4+4+6 = 14 sq units
Answer:
A = 10 sq. units
Step-by-step explanation:
Area of a trapezium is the average of the bases times the height.
Base 1 is 8 units
Base 2 is two units
Average is (8 + 2)/2 = 5 units
A = 5(2) = 10 sq. units
A,D And E Thats The Answers
Answer:
wait what? hmmm hmmmmmm
What is the greatest multiple of 99 that is less than 0?
Answer: -99
Step-by-step explanation:
This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
René Descartes was the person who created analytic geometry and the Cartesian coordinate system
What is the domain of the function y = In (-2+3/2)?
Answer:
Domain is undefined
what is the difference between a population distribution and a sampling distribution
The difference between a population distribution and sampling a distribution
Definition: The Population Distribution is a form of probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.
Defintion: The Sampling Distribution is a form of probability of a random sample out of a group of frequency which is made up of the sample of which the population has been picked out of, making it a partial research study
What's the answer to this?
What is 38x+40+120x=34x-7(20-19x)
Answer:
3
8
+
4
0
+
1
2
0
=
3
4
−
7
(
2
0
−
1
9
)
{\color{#c92786}{38x}}+40+{\color{#c92786}{120x}}=34x-7(20-19x)
1
5
8
+
4
0
=
3
4
−
7
(
2
0
9
)
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
[tex]38x+40+120x=34x-7(20-19x)\\\rule{180}{0.5}\\\text{Simplifying the left:}\\\\38x+120x+40\\\\158x + 40\\\\\text{Simplifying the right:}\\\\34x-7(20-19x)\\\\34x - 140 + 133x\\\\34x + 133x - 140\\\\167x - 140\\\rule{180}{0.5}\\158x + 40 = 167x - 140\\\\158x + 40 - 40 = 167x - 140 - 40\\\\158x = 167x - 180\\\\158x - 167x = 167x - 167x - 180\\\\-9x = -180\\\\\frac{-9x}{-180}\\\\\boxed{x = 20}[/tex]
Hope this helps.
Find the value of x
6.1 - angles of polygons
Answer:
x = 46°
Step-by-step explanation:
The sum of interior angles = (n-2) × 180°
= (5-2) × 180°
= 540°
2x+3x+3x-4+3x+x-8 = 540°
12x = 552°
x = 46°
a farm is sold for $457000, which gives a profit of 19%. Find the profit
The answer sheet says it is $73,000
Answer: its 73,000
Step-by-step explanation: the answer sheet has the answers...
Which of the following best describes the slope of the line below?
O A. Negative
O B. Zero
O C. Positive
• D. Undefined
Answer:
B.zero
#carryonlearning
Answer:
D
Step-by-step explanation:
A vertical line parallel to the y- axis has an undefined slope
PLEASE HELP MEE i dont really understand this
4(p+1.25)=7 2/5
Answer:
p=0.6
Step-by-step explanation:
x+y=3
workout the value of 2x-2y
Answer:
-2
Step-by-step explanation:
x= 1
y= 2
2 times x(1)=2
2 times y(2)=4
2-4= -2
D
E
B
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5. Find the measure of angle BAC. Hint: What is the sum of the measures of the
vertex angles of the nine congruent isosceles triangles? (1 point)
HELP PLEASE!!!!!
The measure of angle BAC is 20 degrees
How to determine the measure of BAC?The angle on a straight line is 180 degrees.
There are 9 equal sections on the straight line.
This means that the measure of each section is:
Each section = 180/9
Evaluate
Each section = 20
So, we have:
BAC = 20 degrees
Hence, the measure of angle BAC is 20 degrees
Read more about congruent angles at:
https://brainly.com/question/1675117
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Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1. 15. How much will the fabric cost? [1 ft = 0. 305m] $9. 20 $2. 12 $2. 81 $30. 16.
Answer: C = 6.5l
Cost is $6.50 per yard.
Step-by-step explanation:
2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.
Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81
Joy wants 8 feet of fabric. First convert this to meters which would be:
= 8 feet x 0.305 meter per feet
= 2.44 meters
The cost of this fabric would therefore be:
= Cost per meter x Number of meters
= 1.15 x 2.44
= $2.806
= $2.81
In conclusion, the cost of the fabric would be $2.81.
Find out more at https://brainly.com/question/4220997.
What is 100 plus 300??????
Answer:
The answer is 400
Step-by-step explanation:
...........
Answer:
the answer is 400 darlin
Step-by-step explanation:
Help please I’ll give Brainly please answer both I’ll give 5 stars and lines
Answer:
I really cant see the picture that well or, i would help.
Step-by-step explanation:
It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
For a;
[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]
For b;
[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]
If my calculations are incorrect, then sorry ;/
- ❤ 7272033Alt ❤
How do I solve for x?
Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.
So,
16 = x + 36
16 - 36 = x
-20 = x
______
Hope it helps ⚜
Select the correct answer.
Simplify the following expression.
Calculate the volume of the cylinder:
10 cm
6 cm
Answer:
60
Step-by-step explanation:
10 ×6
that is the simple answer to your question
What the vertex of y=4(x-3)^2+3
Answer:
(3,3)
Step-by-step explanation:
we rewrite in vertex form and use this form to find the vertex (h,k)