Which pairs of triangles appear to be congruent? Check all that apply.
A. Triangles 1 and 4
O B. Triangles 1 and 3
C. Triangles 2 and 3
D. Triangles 2 and 4
E. Triangles 3 and 4
O
F. Triangles 1 and 2
SUBMIT
Answers
Answer:
Step-by-step explanation:
C,D and E
Pairs of triangles appear to be congruent are :
Triangles [tex]2[/tex] and [tex]3[/tex]Triangles [tex]2[/tex] and [tex]4[/tex] Triangles [tex]3[/tex] and [tex]4[/tex]What are congruent triangles?" Congruent triangles are defined as the pairs of triangles with same measurement."
According to the question,
Given pairs of triangles,
A. Triangles [tex]1[/tex] and [tex]4[/tex] :
After observing triangles [tex]1[/tex] and [tex]4[/tex] it appears that triangle [tex]1[/tex] is smaller than triangle [tex]4[/tex] .
Option A is not the correct answer.
B. Triangles [tex]1[/tex] and [tex]3[/tex] :
After observing triangles [tex]1[/tex] and [tex]3[/tex] it appears that triangle [tex]1[/tex] is smaller than triangle [tex]3[/tex] .
Option B is not the correct answer.
C. Triangles [tex]2[/tex] and [tex]3[/tex] :
After observing triangles [tex]2[/tex] and [tex]3[/tex] it appears that triangle [tex]2[/tex] is congruent to triangle [tex]3[/tex] .
Option C is the correct answer.
D. Triangles [tex]2[/tex] and [tex]4[/tex] :
After observing triangles [tex]2[/tex] and [tex]4[/tex] it appears that triangle [tex]2[/tex] is congruent to triangle [tex]4[/tex] .
Option D is the correct answer.
E. Triangles [tex]3[/tex] and [tex]4[/tex] :
After observing triangles [tex]3[/tex] and [tex]4[/tex] it appears that triangle [tex]3[/tex] is congruent to triangle [tex]4[/tex] .
Option E is the correct answer.
F. Triangles [tex]1[/tex] and [tex]2[/tex] :
After observing triangles [tex]1[/tex] and [tex]2[/tex] it appears that triangle [tex]1[/tex] is smaller than triangle [tex]2[/tex] .
Option F is not the correct answer.
Hence, Option(C), (D), and (E) are correct answer.
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Related Questions
If 2x+1=5, then r=2.
Identify the inverse of the conditional statement.
If x=2, then 2x+1=5.
If 2x+15, then x =2.
If 2x +1+5, then x#2.
If x#2, then 2x+1+5.
Answers
Answer:
if x=2 (r) then 2x+1=5
Step-by-step explanation:
Considering an "if and if only" type of function then the answer is A. if x=2 then 2x+1=5
Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents. f of x equals 4 times one ninth to the x power f of x equals 4 times two sixths to the x power f of x equals 16 times one third to the x power f of x equals 16 times one ninth to the x power
Answers
Answer:
A
Step-by-step explanation:
Answer:
Option 1
Step-by-step explanation:
Given : Function f of x equals 4 times one third to the 2 times x power.
To find : Rewrite the function using properties of exponents ?
Solution :
Writing the function in numeric terms,
f of x equals 4 times one third to the 2 times x power
i.e. [tex]f(x)=4\times (\frac{1}{3})^{2x}[/tex]
Solve the expression,
[tex]f(x)=4\times (\frac{1}{3}^2)^{x}[/tex]
[tex]f(x)=4\times (\frac{1}{9})^{x}[/tex]
i.e. f of x equals 4 times one ninth to the x power.
Therefore, Option 1 is correct.
Find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope intercept form. (3,4) and y= -4/9x-3
Answers
Answer:
Step-by-step explanation:
To find the slope of a line perpendicular to y = (-4/9)x - 3, take the negative reciprocal of this slope -4/9. The slope of the new line is thus 9/4.
Now we have this data to work with: m = 9/4, y = 4 and x = 3. Subbing this info into y = mx + b, to obtain the value of b, we get:
4 = (9/4)(3) + b, or
4 = 3/4 + b. Thus, b = 3 1/4, or b = 13/4.
The desired equation is
y = (9/4)x + 13/4.
If your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day. Then, your target is to consume what percent of the calories you are consuming?
Answers
Answer:
32%
Step-by-step explanation:
We have been given that your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day.
First of all, we will find number of calories you should eat to lose weight by subtracting 1700 calories from 2500 calories.
[tex]2500-1700=800[/tex]
Now, we will find 800 is what percent of 2500.
[tex]\frac{800}{2500}\times 100=0.32\times100=32\%[/tex]
Therefore, your target should be consume 32% of the calories, you are consuming.
the second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.
Answers
Answer:
13 and 23
Step-by-step explanation:
create an equation to solve:
(2x-3) + x = 36
3x - 3 = 36 combine like terms
+3 +3 add 3 to both sides
3x = 39
3 3 divide both sides by 3
x = 13
13 is the first number
the 2nd number is 3 let than twice the first so we create and solve a new equation:
2x - 3 = ?
2(13) = ? substitute 13 from the
smaller number to solve
23 = the 2nd number
Jack birthday is in 6 weeks how many day is it until jacks birthday? Complete the explanation on how you could use a number line to solve. I would draw_equal jumps of _beginning at 0 on the number line. The jumps end at _
Answers
Answer:
42 days
Step-by-step explanation:
1 week equals 7 days
7 × 6 = 42
11 help cause I'm stuck
:3
11
Answers
let's say each restaurant has a container of soup which is the same size, let's say there is a total of "s" amount of soup in the container of each restaurant, so 5/4 of that much will just be (5/4)s and 7/4 of "s" is just (7/4)s.
well, one restaurant makes 20 servings from 5/4 of it and the other makes 25 from 7/4 of it,
[tex]\bf \cfrac{5}{4}s\div 20\implies \cfrac{5}{4}s\div \cfrac{20}{1}\implies \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{4}s\cdot \cfrac{1}{\underset{4}{~~\begin{matrix} 20 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{1}{16}}s \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{4}s\div 25\implies \cfrac{7}{4}s\div \cfrac{25}{1}\implies \cfrac{7}{4}s\cdot \cfrac{1}{25}\implies \boxed{\cfrac{7}{100}}s[/tex]
now, which one is larger? well, we can simply put both fractions with the same denominator by multiplying one by the other's denominator,
[tex]\bf \cfrac{1}{16}\cdot \cfrac{100}{100}\implies \boxed{\cfrac{100}{1600}}\qquad \qquad \qquad \stackrel{\textit{\Large larger}}{\cfrac{7}{100}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{112}{1600}}}[/tex]
consider the graph below. Which of the following coordinates belong in the box?
Answers
Answer:
Option b) (-26,-5)
Step-by-step explanation:
We are given the following information in the question.
The x-coordinate changes from -21 to-16. Thus its value increases 5 units.
The y -coordinate changes from -9 to -13. Thus, it decreases by a value of 4 units.
So to obtain the coordinates in the box:
x-coordinate
We decrease 5 units from -21 that is -21 - 5 = -26
y- coordinate
We add 4 units to -9 that is -9 + 4 = -5
So, the coordinates in the box is given as:
Option b) (-26,-5)
Essential Question How do the signs of
factors affect their product?
Answers
Answer:
If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.
Mathematical signs are very important to take note of when multiplying factors.
The product of an addition and subtraction sign results in a negative sign. This is important as it affects the signs of factors affecting their product. For instance; -3 (2 + 5)According to distributive law, the negative sign will affect the positive sign in the bracket to have -3(2) -3(5) = -6 - 15
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How many times larger is 400 than 4
Answers
Answer:
It's 100x bigger.
Step-by-step explanation:
I divided 400 by 4 and got 100.
To check the work, you multiply 100 by 4.
The number 400 is 100 times greater than 4 when we divide the number 400 by 4.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts. The fraction is defined as the representation of one number with respect to the other number. or one number is how many times the other number.
Given numbers are 400 and 4. To calculate the times divide the number 400 by 4. The division will be done as below:-
Divison = 400 / 4
Division = 100
Therefore, the number 400 is 100 times greater than 4.
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Round 19,837 to the nearest hundred.
Answers
The answer is 19,800
If you need a better explanation just as in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
Answer:
19,837 rounded to the nearest hundred is 19,800
Step-by-step explanation:
so we know that 4 and under we keep the number the same, so the 3 in the tens place means that we keep the 8 ind the hundreds place the same and so that leads us to our answer, 19,800
Hope I helped :)
Estimate of sum 1.5 and 6.8
Answers
Work:
Sum = Addition
So, 1.5+6.8=__
We know that 1+6= 7
And .5+.8= 1.3 (5+8=13 so 1.3)
And 1.3+7=8.3
Answer is 8.3
Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 per week for food,clothing, and movie tickets. How many weeks can Keith withdraw money from his account?
Answers
Answer:
20 weeks.
Step-by-step explanation:
So, he has $500 in savings and he's taking out $25 each week. That would be $25 x ?. Which is the same as 500 divided by 25 which equals 20. I hope this helps!
Keith can withdraw $25 each week from his $500 savings account for 20 weeks.
Keith starts with $500 in his savings account and withdraws $25 every week. To determine how many weeks he can continue these withdrawals, we need to divide his initial amount by the weekly withdrawal amount.
Let's perform the calculation step by step:
Initial amount in the savings account: $500Weekly withdrawal amount: $25Number of weeks Keith can withdraw money = $500 / $25Perform the division: $500 ÷ $25 = 20 weeksSo, Keith can withdraw money from his account for 20 weeks.
Solve the equation for y. yp+yn=x
Answers
This is tricky because it has a lot of variables, but we just have to treat this problem normally.
[tex]yp+yn=x[/tex]
separate y from p + n (feel free to check that you can do this by multiplying y out again and seeing that we have the same thing as before)
[tex]y(p+n)=x[/tex]
divide p + n on both sides
[tex]y = \frac{x}{p+n}[/tex]
Answer:
[tex]y = \frac{x}{p+n}[/tex]
To solve the equation yp + yn = x for y, factor out y to get y(p + n) = x, then divide both sides by (p + n) to isolate y, resulting in y = x / (p + n).
To solve the equation yp + yn = x for y, you need to factor y out of the left side of the equation.
This gives you y(p + n) = x.
To isolate y, you then divide both sides of the equation by (p + n), assuming p + n
eq 0, to get y = x / (p + n).
I am thinking of a number.Multply my number 5 and add 13
Answers
Hey!
-----------------------------------------------
[tex]\boxed{ \bf 5n~+~13}[/tex]
-----------------------------------------------
Solution:
Number = n
Multiply a number and five: 5n
Add thirteen: + 13
End Result: 5n + 3
-----------------------------------------------
Hope This Helped! Good Luck!
Which expression is equal to [tex]2\sqrt{-27}[/tex] ?
−6i3√
63i−−√
6i3√
−63√
Answers
Answer:
6i3√ or 6i√3
Step-by-step explanation:
it takes away the - it is a trick question
Using root properties and complex numbers, it is found that the equivalent expression is:
[tex]6i\sqrt{3}[/tex]
----------------------------------
The most widely used definition in complex numbers is:
[tex]i^2 = -1 \rightarrow \sqrt{-1} = i[/tex]
The expression is:
[tex]2\sqrt{-27} = 2\sqrt{3 \times -9} = 2\sqrt{3 \times 9 \times -1}[/tex]
Applying the property:
[tex]2\sqrt{3 \times 9 \times -1} = 2\sqrt{3}\sqrt{9}\sqrt{-1} = 6i\sqrt{3}[/tex]
[tex]6i\sqrt{3}[/tex] is the equivalent expression.
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you are designing a room for a house and are drawing a floor plan. The room is actually 18 feet wide. On your floor plan, you draw the room as 6 inches wide. what is the scale factor for the floor plan
Answers
Answer:
1:3
Step-by-step explanation:
18 / 6 = 3
Answer:
3 feet per inch
Step-by-step explanation:
trust me bro
Jessica and Riley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping
paper or holiday wrapping paper. Jessica solf 5 rolls of plain and 13 rolls of holiday wrapping paper for a total
$272. Ryan solf 11 rolls of plain and 16 rolls of holiday wrapping paper for a total $359. What is the cost of one
roll of plain wrapping paper and one roll of holiday wrapping paper?
Answers
Answer:
Cost of one roll of plain wrapping: [tex]\$5[/tex]
Cost of one roll of holiday wrapping paper: [tex]\$19[/tex]
Step-by-step explanation:
Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.
Based on the information given, we can set up this system of equations:
[tex]\left \{ {{5p+13h=272} \atop {11p+16h=359}} \right.[/tex]
In order to solve it, we can use the Substitution method. The steps are:
1. Solve for "p" from the first equation:
[tex]5p+13h=272\\\\5p=272-13h\\\\p=\frac{272-13h}{5}[/tex]
2. Substitute the above into the second equation and solve for "h":
[tex]11(\frac{272-13h}{5})+16h=359\\\\598.4-28.6h+16h=359\\\\-12.6h=359-598.4\\\\h=\frac{-239.4}{-12.6}\\\\h=19[/tex]
3. Substitute the value of "h" into [tex]p=\frac{272-13h}{5}[/tex]:
[tex]p=\frac{272-13(19)}{5}\\\\p=5[/tex]
in this diagram below, the 2 line segments are congruent. Find the value of x
Answers
Answer:
Step-by-step explanation:
because the two line segments are the same length-->
12+10-x=18
x=22-18=4
The question aims to determine the value of x for two congruent line segments, typically involving algebraic and geometric methods; however, no specific solution can be provided without the diagram.
Explanation:The question involves finding the value of x when given two congruent line segments in a diagram. This typically requires the use of algebraic methods or the application of geometric theorems to establish relationships between the lengths represented in the diagram and solve for x.
Without the specific diagram, we cannot provide the direct steps to solve for x.
However, the context suggests the use of equations to calculate lengths. Common strategies include setting equations equal to each other when line segments are congruent and simplifying to find x.
The mention of bisectors and lines intersecting at right angles can also imply the use of properties related to parallel and perpendicular lines or the Pythagorean theorem.
Remember, when equations have two solutions for x, it's necessary to consider which solution is consistent with the geometric context of the problem.
George has a mass of 65kg. What would George weigh on the Moon? (The gravitational field strength on the Moon is 1.6N/kg.)
Answers
George would weigh
65 kg × 1.6N /kg = 104 Newtons
That's compared to around 650 Newtons on earth.
Answer: Weight of George on Moon =104 N
Step-by-step explanation:
Given : George has a mass of 65 kg.
The gravitational field strength on the Moon is 1.6N/kg.
Then, the weight of George on Moon = George's Mass x Gravitational field strength
=[tex]65\times1.6=104\text{ Newtons}[/tex]
Hence, the weight of George on Moon =104 N
find the product and show your work 34,879 x 10 =
Answers
Answer:
34,879 × 10 = 348,790
Step-by-step explanation:
The answer is 348,790 because 34,879 multipled by 10 is 348,790 as shown in the picture above ^^
Answer:
348790
Step-by-step explanation:
According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 348790 [three forty-eight thousand, eight hundred seventy-nine].
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Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only need to fence three sides. There is one long side parallel to the house, and two shorter sides. He needs 130 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.
Answers
Answer:
The length and width of the pool area is:
Length = 60 feet. Width = 35 feet.Step-by-step explanation:
Since the 130-foot fence should enclose only three parts of the pool (two wide and one long), equations are performed to express the information provided.
First an equation that says the total feet in the fence:
X + 2Y = 130 (where X is the length and Y is the width) X = 2Y-10 (since the length is 10 feet less than twice the width)With these equations, we proceed to replace the second equation in the first one and solve for Y:
X + 2Y = 130 2Y -10 + 2Y = 130 4Y - 10 = 130 4Y = 130 + 10 Y = 140/4 Y = 35 feetSince we already know that the width corresponds to 35 feet, we use the second equation to find the value of X:
X = 2Y-10 X = 2 (35) -10 X = 70 - 10 X = 60With which it is identified that the length is 60 feet.
To find the dimensions of the pool area, we can set up an equation using the given information. Solving the equation, we find that the width of the pool area is 35 feet and the length is 60 feet. Therefore, the dimensions of the pool area to be enclosed are 35 feet by 60 feet.
Explanation:To find the dimensions of the pool area, we will set up an equation based on the given information. Let's say the width of the pool area is 'w'. According to the problem, the length of the long side is 10 feet less than twice the width, so the length can be represented as 2w - 10. Since Mario needs to fence three sides, we can calculate the total length of the fence as follows:
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The slope of the line below is -1/7. Write a point slope equation of the line using the coordinates of the labeled point
Answers
Answer:
○ D. y - 3 = -⅐(x - 3)
Step-by-step explanation:
According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs.
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Equation of line is [tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]
Formula for finding Equation of line?[tex]y - y_{1} = m ( x - x_{1} )[/tex]
where [tex](x_{1},y_{1})[/tex] are coordinates and m is slope.
How to solve?
Given:- Coordinate (3,3) and slope [tex]\frac{-1}{7}[/tex]
Equation of line:
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
given : [tex]x_{1} = 3 , y_{1} = 3 , m = -\frac{1}{7}[/tex]
substituting values, Equation of line is:
y - 3 = [tex]-\frac{1}{7}[/tex] ( x - 3)
[tex]y = - \frac{x}{7} + \frac{3}{7} + 3[/tex]
[tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]
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3. A scientist starts an experiment with 5 bacteria. The number triples every 30
minutes. How many bacteria are in the culture after 2 hours and 30 minutes?
Answers
Answer:
1215 bacteria
Step-by-step explanation:
5 x 3 = 15 (after 30 minutes)
15 x 3 = 45 (after 60 minutes)
45 x 3 = 135 (after 90 minutes)
135 x 3 = 405 (after 120 minutes)
405 x 3 = 1215 (after 150 minutes)
Kim's age is twice that of her sister when you add Kim's age to her sisters age to get 24 how old is each sister
Answers
Kim is 16 and her sis is 8 because 8+8 equals 16 and 8+16 equals 24
i need the answer on number 8
Answers
Answer:
van: 18
bus: 59
Step-by-step explanation:
x: students per van
y: students per bus
Highschool A:
x + 6y = 372 / *(-2)
Highschool B:
4x + 12y = 780
-2x - 12y = - 744
2x = 36
x = 18
Replace x in 1 equation
18 + 6y = 372
y = 59
is -8 a solution to the equation 3x=16-5x
Answers
Answer: YEP
Step-by-step explanation: -8 makes it -24=16-40, which is -24
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What digit is in the tens place in the number 35,176?
Answers
Answer:7
Step-by-step explanation:
Ten Thousands Thousands Tens
3 5 7
Answer:
7
Step-by-step explanation:
The ones place always starts on the left then it works it way up.
ones, Tens, hundreds, thousands, ten thousands and it goes on in the same ones tens hundreds pattern
The polygon below is an irregular pentagon.
Answers
Answer:
○ D) Need more information
Step-by-step explanation:
We do not have have enough angle measures to know how to solve this, although each interior angle in a pentagon is 108°.
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A waitress sold 10 ribeye steak dinners and 45 grilled salmon dinners, totaling $591.99 on a particular day. Another day she sold 24 ribeye steak dinners and 15 grilled salmon dinners, totaling $583.39. How much did each type of dinner cost?
Answers
Answer:
The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00
Step-by-step explanation:
Let
x ----> the cost of a ribeye steak dinner
y ----> the cost of a grilled salmon dinner
we know that
10x+45y=591.99 -----> equation A
24x+15y=583.39 ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (18.68,9.00)
see the attached figure
therefore
The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00