Answers
Answer:
As ΔABC is an isosceles triangle:
⇒ BA = BC
(the dashes on the line segments indicate they are of equal measure)
⇒ ∠BAC = ∠BCA = 55°
⇒ ∠BCA = ∠BAD = 55°
Angles on a straight line sum to 180°
⇒ ∠ADE + ∠EDC = 180°
⇒ 98° + ∠EDC = 180°
⇒ ∠EDC = 82°
As BE intersects AC, the vertically opposite angles are equal:
⇒ ∠BDC = ∠ADE = 98°
⇒ ∠ADB = ∠EDC = 82°
Interior angles in a triangle sum to 180°
⇒ ∠BAD + ∠ADB + ∠ABD = 180°
⇒ 55° + 82° + ∠ABD= 180°
⇒ ∠ABD = 180° - 55° - 82°
⇒ ∠ABD = 43°
Answer:
∠ABD = 43°
Step-by-step explanation:
Let's solve !
⇒ ∠BAC = ∠BCA = 55° (Angles opposing equal sides)
⇒ ∠BDA = 180° - 98° (Linear pair)
⇒ ∠BDA = 82°
⇒ ∠BAC + ∠BDA + ∠ABD = 180° (Angle Sum Property)
⇒ ∠ABD + 82° + 55° = 180°
⇒ ∠ABD + 137° = 180°
⇒ ∠ABD = 43°
Related Questions
Gabby and Brea went shopping at Ciara's Clothing Goods. Gabby bought 2 shirts and 1 pair of shoes, and she spent $32. Brea bought 2 shirts and 3 pairs of shoes, and she spent $48. How much does it cost per shirt, and how much does each pair of shoes cost?
Answers
The cost of one pair of shoes is $8.
The cost of one shirt is $12.
What are the linear equation that represent the question?2a + b = 32 equation 1
2a + 3b = 48 equation 2
Where:
a = cost of 1 shirt b = cost of one pair of shoesWhat is the cost of one pair of shoes?Subtract equation 1 from equation 2
2b = 16
b = 16/2
b = $8
What is the cost of one shirt?
Substitute for b in equation 1
2a + 8 = 32
2a = 32 - 8
2a = 24
a = 24 / 2
a = $12
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1. Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)? To determine whether these two distinct lines are parallel, you simply need to calculate their slopes. What is the slope of AB←→?
I know for a fact that this one is 2.
2. Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)? To determine whether these two distinct lines are parallel, you simply need to calculate their slopes.
What is the slope of CD←→? Say your response as a fraction, such as 3/14.
^This one, I am not entirely sure what the slope would be. If someone could help me out, I would be more than happy to reward the person with the correct answer with 5 stars and Brainliest! Tysm, need this asap!
Answers
You are correct that the slope of line AB is 2. To find the slope of the line CD, we can apply the slope formula again (like I assume you did with AB).
[tex]m=\frac{15-7}{4-0}=\boxed{2}[/tex]
Therefore, since the slopes of lines AB and CD are equal, they are parallel
Quadrilateral abcd has vertices a(1,0) b(5,0) c (7,2) d(3,2). use slope to prove that abcd is a parallelogram.
Answers
[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]
[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]
As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.
In the diagram, Ray K QJKM is a straight angle.
Answers
The true statements about the diagram given are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
What is an Angle Bisector?An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.
The missing part of the question is in the image attached below.
In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).
Therefore, m∠JKL = m∠PKL = 45°
m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.
Therefore, the true statements are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
(see image attached below)
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7/8 - 6/7. what is the answer.???
Answers
Answer:
0.0178 is the answer
It takes Paula 9 minutes to run 1 mile. At this rate, how long will it take Paula to run 8 miles?
Answers
Answer:
72 mins or 1 hour 12 mins
Step-by-step explanation:
1 miles = 9 mins
8 miles = 9×8 mins
8 miles = 72 mins = 1 hour 12 mins
Hope this helped and brainliest please
A sum of 2500$ is invested in a saving account which pays interest at a rate of 7 per year compounded annually. if the amount is kept on deposit for 15 year's, what will the compound amount equal? how much interest will be earned during the 15 years?
Answers
Answer:
Step-by-step explanation:
2500( 7 years )
????? (15 years )
15*2500=37 500
elabora 50 ejemplos de adicion de numeros enteros con 5 terminos o mas
Answers
Some examples of additions with integers with 5 terms or more are:
20 + 1 + 1 + 2 + 1= 252 + 1 + 1 + 2 + 1= 720 + 2 + 1 + 2 + 1= 2620 + 1 + 1 + 3 + 1= 2620 + 1 + 1 + 4 + 1= 27200 + 1 + 1 + 2 + 1= 205What is an Integer?In mathematics, an integer is a whole number that is used to represent a value and is not a fraction.
Furthermore, we can make the addition of integers as they would increment based on the number they are being incremented with and this has been shown above.
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Solve the following quadratic function
by utilizing the square root method.
y = 64-16x²
X = = + [?]
Please help me
Answers
Answer:
x = ±2
Step-by-step explanation:
Given :
y = 64 - 16x²
=========================================================
Add 16x² to each side (take y = 0) :
⇒ 0 + 16x² = 64 - 16x² + 16x²
⇒ 16x² = 64
=========================================================
Divide both sides by 16 :
⇒ 1/16 × 16x² = 1/16 × 64
⇒ x² = 4
=========================================================
Taking square root on both sides :
⇒ √(x²) = √4
⇒ x = ±2
The difference between a number and its square is 42 find the number
Answers
Answer:
x = 7 or -6
Step-by-step explanation:
Let a number be x.
Its square = x²
x - x² = 42
-x² + x - 42 = 0
-(x² - x + 42) = 0
x² - x + 42 = 0
(x - 7)(x + 6) = 0
x - 7 = 0 or x + 6 = 0
x = 7 or x = -6
Multiply.
(3x+2)(2x−5)
6x^2+4x−3
6x^2−10
6x^2−11x−10
6x^2−13x−3
Answers
Answer: Heyaa! ^^
Your Answer when multiplied is.. 6x²−11x−10
Step-by-step explanation:
6x^2−11x−10Expand the polynomial using the FOIL method.- FOIL EXPLANATION -
A handy way to remember how to multiply two binomials.It stands for "First, Outer, Inner, Last"
- It is the sum of: -· multiplying the First terms,
· multiplying the Outer terms,
· multiplying the Inner terms, and
· multiplying the Last terms
Hopefully this helps you! ~
8/21 fraction to decimal
Answers
Answer:
Solution and how to convert 8 / 21 into a percentage
0.38 times 100 = 38.1. That's all there is to it!
Step-by-step explanation:
hope this helps
Solve the following equation for x.
(3/5)x - 15 = (6/5)x + 12
5
-5
-45
45
Answers
Answer:
x = -45
Step-by-step explanation:
(3/5)x - 15 = (6/5)x + 12
(6/5)x - (3/5)x = -15 - 12
(3/5)x = -27
0.6x = -27
x = (-27)/0.6
x = -45
1. University Bank pays 5% interest compounded quarterly on regular savings accounts and Rosemont
Savings Bank pays 5.5% compounded semiannually. Vasily and Oxana Cherchenko had $4,000 to invest
for 4 years. Based on the interest to be earned, which bank offers the better investment?
Answers
[tex]~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]A=4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4}\implies A=4000(1.0125)^{16}\implies \boxed{A\approx 4879.56} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4}\implies A=4000(1.0275)^8\implies \boxed{A\approx 4969.52}[/tex]
well, "better" meaning more amount per same 4000, clearly the latter will be better.
Answer:
Rosemont Savings Bank; interest is $969.52
Step-by-step explanation:
because i said so <3
1 1/5 of 3 kg please help
Answers
Answer:
1kg= 1000 g
3 kg=3000 g
so,
3000×11/5=6600 g=6kg 600 g
Answer:
6.6kg
Step-by-step explanation:
11/5 of 3kg mathematically means
11/5 × 3
= 33/5= 6.6kg
Find two integers whose sum is -5 andproduct is 4
Answers
Answer:
-1 and -4
Step-by-step explanation:
-1 + -4 = -5
-1 times -4 = 4
give brainiest please!
hope this helps ;)
what’s a problem with no solution
Answers
When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.
Answer: A problem with no solution is a problem with no applicable answer or the answer is not a real number or x ∉ R
A line passes through the point (-2, 1) and has a slope of 3. Write an equation in slope-intercept form for this line.
Answers
Answer:
y = 3x + 7
Step-by-step explanation:
apply the rule
[tex]y-y_{0} =m(x-x_{0} )[/tex]
where
[tex]x_{0}, y_{0}[/tex]
they are taken from the point (-2, 1), and "m" is the slope (3)
Then
[tex]y-1=3(x--2)[/tex]
[tex]y-1=3(x+2)[/tex]
[tex]y=3x+6+1[/tex]
[tex]y=3x+7[/tex]
Hope this helps
The volumes of two similar solids are 512 cm3 and 2,197 cm3. If the smaller solid has a surface area of 960 cm2, find the surface area of the larger solid.
Part I: Find the similarity ratio by taking the cube root of each volume. Show your work. (2 points)
Part II: Use your answer from Part I to find the ratio of the surface areas. Show your work. (2 points)
Part III: Set up a proportion and solve to find the surface area of the larger solid. (3 points)
Answers
The similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
Part 1:
Volume of larger solid = (512) cubic cm
Volume of small solid = 2197 cubic cm
Ratio of the volumes = 512/2197
Taking cube root:
Similarity ratio = 8/13
Part 2:
Similarity ratio by taking the cube root of each volume = 8/13
Taking the square of the above ratio:
= 64/169
Part 3:
64/169 = 960/SA(larger)
SA(larger) = 2535 square cm
Thus, the similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
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In a shop, two customers order
Customer 1 pays £3.90 for a tea and two coffees.
Customer 2 pays £4.20 for three teas and a coffee.
How much does one cup of tea cost?
Answers
The cost of a tea cup and a cup of coffee in the shop is £0.90 and £1.50 respectively.
How to write and solve equation?let
x = cost of teay = cost of coffeex + 2y = 3.90
3x + y = 4.20
Multiply (1) by 3 to eliminate x
3x + 6y = 11.70
3x + y = 4.20
5y = 7.50
y = 7.50/5
y = 1.50
Substitute y = 1.50 into (1)
x + 2y = 3.90
x + 2(1.50) = 3.90
x + 3 = 3.90
x = 3.90 - 3
x = 0.90
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Can anyone answer this please?? will mark brainliest!!
Answers
Answer:
hope you can understand
A (2,2)
31
B
(1,-2)
(4,-4) C
1. Reflect across y-axis
2. <1,3>
Complete the transformations
and then enter the final
coordinates of the figure.
A" ([?],
B" (
C" (
Hint: The x-value of A is 2. To
find the x-value of A", first invert
the number's sign (step 1), and
then add 1 (step 2).
Enter
Answers
Answer:
This is put together very weird, can you put the answers more clearly?
Step-by-step explanation:
?
The final coordinates after the transformations will be:
A" is (-1, 5),
B" is (0, 1),
C" is (-3, -1).
What's the transformation about?Reflect across the y-axis: For any point (x, y), the reflection across the y-axis is (-x, y).
Translation by vector <1, 3>: For any point (x, y), the new coordinates after translation are (x + 1, y + 3).
Let's apply these transformations step by step:
A (2, 2):
Reflect across y-axis: (-2, 2).
Translate by <1, 3>: (-2 + 1, 2 + 3) = (-1, 5).
So, A" is (-1, 5).
B (1, -2):
Reflect across y-axis: (-1, -2).
Translate by <1, 3>: (-1 + 1, -2 + 3) = (0, 1).
So, B" is (0, 1).
C (4, -4):
Reflect across y-axis: (-4, -4).
Translate by <1, 3>: (-4 + 1, -4 + 3) = (-3, -1).
So, C" is (-3, -1).
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what is the equation of the line that contains point (2, -6) and has a slope of -2
y= -2x + 10
y= -2x + 2
y= -2x - 2
y= -2x -10
Answers
Answer:
y=-2x+10
Step-by-step explanation:
i graphed it i graphed all of them
Answer:
y-2x-2
Step-by-step explanation:
The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.
We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. So, we can insert the given information into this formula to get [tex]y+6=-2(x-2)[/tex].
Next, we distribute the slope to the the parenthesis to get [tex]y+6=-2x+4[/tex]
Then, we subtract 6 from both sides to get [tex]y=-2x-2[/tex]
Since this equation is now in the form [tex]y=mx+b[/tex], the answer is [tex]y-2x-2[/tex]
Hope this helps! :)
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O
Answers
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
tense chart on A4 sheet
Answers
Answer:
hre is your tense chart
Step-by-step explanation:
mark me brainliest
here we go again... can someone explain how these problems work?
Answers
Answer:
x = 5 only
≡ On a graph, the point touches (5, 0), making x equal to 0.
≡ In other words, you must replace y with 0 to solve for x. There is no y term in this problem, so you must determine y by separating the coefficients into groups and determining each part.
help help help help help help help
Answers
(=^_^=)
HELP ASAP
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.
s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.
What is the first error he made in computing the standard deviation?
SOMEONE HELP ASAP
Answers
The mistake he made is that he Yuri divided by n instead of n -1.
What mistake did he make?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group.
In order to determine the standard deviation, take the following steps:
• Determine the mean of the observation: 14
Determine the difference between each value and the mean and then square the result: (12 - 14)² + (14 - 14)² + (9 - 14)² + (21 - 14)² = 78
Determine the mean of the sum of the squared differences and then find the square root of the mean: √78/(n - 1) = 5.1
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Answer:
Yuri divided by n instead of n -1.
Step-by-step explanation:
The answer above is correct.
Drag the tiles to the correct boxes to complete the pairs match each pair of rational numbers with their sum -2/a^b+2/ab^2
Answers
The pair of rational numbers with their sum are matched.
What is rational number?The numbers in the form of p/q is called the rational number.
1. -2/a²b +2/ab² = ( -2ab² +2a²b) / a³b³
= 2(a-b)/a²b²
2. 1/2ab -1/4a²b² =( 4a²b² -2ab) / 8a³b³
= 2ab -1 /4a²b²
3. 2/a²b³ -2/ab = (2ab -2a²b³) / a³b⁴
= 2( 1- ab²) /a²b³
4. 1/ab³ -1/a²b = a²b - ab³ / a³b⁴
= (a - b²) / a²b³
Thus, all the rational numbers are matched with their sum.
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If the measure of arc AB is 50 degrees, what is the measure of angle ADB
Answers
Answer:
25
Step-by-step explanation:
50/2=25