The pair of triangles that is congruent by Side-Side-Side rule of congruency is option 4 .
Required:
The option with a pair of triangles that congruent by Side-Side-Side SSS rule of congruency.
Solution;
The given information in option [1] are;
A pair of congruent alternate interior angles, and a pair of angles in option [1] are congruent by Angle-Side-Angle rule of congruency.Option [2]
The information given in option [2] are two angles and an adjacent side, therefore;The length of the triangles in option [2] are congruent by Angle-Angle-Side rule of congruencyOption [3]
From the given parameters, the rule of congruency for option [3] is Side-Angle-Side congruencyOption [4]
The triangles have a common side that is shared.3 tic marks and 2 tic mark indicating that the corresponding sides are congruent are placed on the other two sides.Therefore, b of one triangle are congruent to the corresponding three sides of the other triangle, indicating that triangles are congruent by Side-Side-Side rule of congruency.
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Mr. Vitorello spends 35% of his salary on rent. He makes $2,500 each month. How much does he spend on rent each month?
Answer: He spends 875 a month on rent.
Step-by-step explanation:
35 x 2500 = 87500
87500 / 100 = 875
Hope this helps :)
Answer:
He spends $10,500
Step-by-step explanation:
Since salary is yearly we multiply 2500 by 12 and we get 30000
And 35% of 30000 is 10500
WILL GIVE BRAINLEST What expression can be used to determine the total cost of buying c pounds of cashews for $ 2.95 per pound and s pounds of sugar for $0.72 per pound? Choose the correct expression for determining the total cost.
2.95c -0.75s
3.67-(c+s)
2.95 + 0.72s
0.72 + 2.95s
Answer:
1pound of granola= $3.25
g pound of granola=g*3.25
=3.25g$
1 pound of flour = 0.74$
f pound of flour = f*0.74
= 0.74f$
The expression to determine the total cost of buying the above items= (3.25g+0.74f)
Step-by-step explanation:
I don't get this find all missing angles what does it mean how do I do it
First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.
Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.
For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.
Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.
Answer:
1= 51
2= 18
3= 123
4= 39
Step-by-step explanation:
First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.
What is 1 ten of 100
Answer:
It's 10
Step-by-step explanation:
Toby read a total of 12 books over 3 months. If Toby has read 16 books so far, how many
months has he been with his book club? Assume the relationship is directly proportional.
(Not so great at math)
Answer:
Step-by-step explanatioen:
Answer:
4 months
Step-by-step explanation:
5x+2(x+6)
A.7x+6
B.7x^2+12
C.7x+12
D.7x(x+6)
There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?
PLEASE HELP. I need the answer ASAP.
Answer:
Its D
Step-by-step explanation:
Laura has 160 pounds of green beans at her vegetable stand. If she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
A
18.75%
B
81.25%
C
23.07%
D
16%
Given:
Laura has 160 pounds of green beans at her vegetable stand.
She sells 10 pounds of green beans every hour.
To find:
The percent decrease in green beans after 3 hours.
Solution:
We have,
Beans sold in 1 hour = 10 pounds
So, Beans sold in 3 hours = 30 pounds
Decrease in green beans after 3 hours is 30 pounds.
Now,
[tex]\%\text{Decrease}=\dfrac{\text{Decrease in green beans after 3 hours }}{\text{Initial amount of green beans}}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{30}{160}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{300}{16}[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=18.75\%[/tex]
Therefore, the correct option is A.
can u pls help me with this question
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
We know that the artist can complete [tex]\frac{1}{4}[/tex] of a painting in 2 weeks. So, we just have to find half of [tex]\frac{1}{4}[/tex] to find how much of a painting the artist can do in a week, which is [tex]\frac{1}{8}[/tex] because half of [tex]\frac{1}{4}[/tex] is [tex]\frac{1}{8}[/tex].
Hope this helps! :)
Im not sure on this question can someone answer this?
Answer:
[19+7÷(2×6)+1]
19+7÷12+1
26÷13
2
Answer:
Step-by-step explanation:
(19+7)÷(2×6+1)
The average number of pounds of meat that a person consumes a year is 218.4 pounds. Assume that the standard deviation is 25 pounds and the distribution is approximately normal. If a sample of 40 individuals is selected, find the probabil
Answer:
The answer is "0.9217".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\mu = 218.4 \\\\ \sigma = 25\\\\\bar{x}= 224 \\\\ n = 40 \\\\[/tex]
[tex]z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\\[/tex]
[tex]= \frac{224 - 218.4}{\frac{25}{\sqrt{40}}} \\\\= 1.4167\\\\\to P( \bar{x}< 224) = P(z< 1.4167) = 0.9217[/tex]
Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings
Answer:
15/20 cups of cranberry juice
Step-by-step explanation:
3/5 cranberry juice makes 12
12/2=6
3/5= 0.3
6/2=3
0.3/2= 0.15
0.15 = 3/20
3/20 cranberry juice makes 3 servings.
add 3 and 12 to make 15 servings, add 3/5 and 3/20.
3/5= 12/20
12/20 + 3/20 = 15/20 cups of cranberry juice
A survey of 800 students yielded the following information: 519 were seniors, 430 were commuters, and 300 of the seniors were commuters. How many of the 800 surveyed students were seniors or were commuters?
Answer:
The number is [tex](S \ u \ C ) = 649[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 800
The number of seniors is S = 519
The number of commuters is C = 430
The number of of seniors that are commuters is [tex](S\ n \ C )= 300[/tex]
Generally the number of 800 surveyed students who were seniors or were commuters is mathematically evaluated as
[tex](S \ u \ C ) = S + C - ( S \ n \ C )[/tex]
=> [tex](S \ u \ C ) = 519 + 430 - 300[/tex]
=> [tex](S \ u \ C ) = 649[/tex]
Solve for x.
-x/3= 2
A.x = -6
B.x = 6
C.x = -1
Answer:
I thinK b dont blame me if wrong
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
The answer is negative 6.
Convert 75 kilograms to pounds.
pounds
Answer:
165.34 pounds OR 165 lb
Step-by-step explanation:
You deposit $600 in a account earning 5% interest compounded annually. How much will you have in the account in 15 years?
Answer:
$1050 in total including the interest.
Step-by-step explanation:
The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050
What is the independent variable of y=3.5x+2.8
Answer:its y and x = 6.3
Step-by-step explanation:
look
Carlos drove 200 miles in 5 hours. If he drove at a constant rate, how many miles did Carlos drive per hour?
Answer:
40
Step-by-step explanation:
200/5=x/1
Answer:
40
Step-by-step explanation:
200/5 = 40
nice dumb questions
alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?
Answer:
OK
Step-by-step explanation:
LOL SO WHAT I . DID
IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3
3 6/12 +4 1/2 tell me what it is
Answer:
8
Step-by-step explanation:
3 + 4 = 7
6/12 + 1/2 = 1
7+1 = 8
Which of the following ratios are equivalent to 34:21?
Answer:
https://brainly.com/question/19692618
Step-by-step explanation:
https://brainly.com/question/19692618https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618
Help please! I’ll give brainliest too!
Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:
y-intercept (b) = -5
✔️using two pairs from the table, (1, -1) and (2, 3):
[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4 [/tex]
Slope = 4
✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.
Thus:
y = 4x +(-5)
y = 4x - 5
I don’t get this please help me
Answer:#1: 1225
#2: 1149
Step-by-step explanation:
Hope this helps! :) ❤❤❤
Jason practiced making soccer goals and kept her track of the results. He missed 3 goals but made 9 in one practice session. What can Jason predict regarding goal made if his next practice session has 24 tries?
Solve this equation 5x -7 = -12
Answer:
The answer is x = -1
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
5x-7=-12
5x=-5
x=-1
A 10-foot by 12-foot wall has two windows that measure 3 feet by 5 feet each.
5 feet
5 feet
10 feet
3 feet
3 feet
12 feet
If the windows are not to be painted, what percent of the wall will be painted?
12 ft maybe? i dunno im sorry if this is wrong
1. Combine like terms in 2 + x + 3y + 4x + 2y + 5.
2. Combine like terms in 2x + 3xy + 4 + 5yx.
please due in 5 minutes please
Answer:
Detailed step by step solutions to your Combining like terms problems online with our math solver and calculator. Solved exercises of Combining like terms. Calculators Topics Solving Methods Go Premium. ... $-2+9y-4x-2y-3x$ 3. Combining like terms $9y$ and $-2y$ $-2+7y-4x-3x$ 4. Combining like terms $-4x$ and $-3x$ $-2+7y-7x$ Final Answer $-2 ...
Step-by-step explanation:
can u pls help me with this question
Answer:
I think is 2/9 but I may be wrong
Jalen had read 14 chapters out of the book .. if this is 56% of the chapters, how many chapters are in the book?
Answer:
25 Chapters
Step-by-step explanation:
We are given:
Number of Chapters read = 14
Percentage of Book finished = 56%
Number of Chapters in the Book:
Since 56% of 'x' chapters is 14:
[tex]x*\frac{56}{100}[/tex] = 14
[tex]x = \frac{14 * 100}{56}[/tex] [multiplying both sides by 100/56]
[tex]x = \frac{100}{4}[/tex] [since 14*4 = 56]
x = 25
Therefore, the book has 25 chapters
Answer:
The book has a total of 25 chapters.
Step-by-step explanation:
We are given that Jalen has read 14 chapters of his book. We are also given that 14 chapters is 56% of the entire book. We need to find how many chapters are in the book.If 14 is 56% of the book, we can set up a proportion that can find the total number of chapters in the book.
A proportion looks like:
[tex]\displaystyle \frac{a}{b} = \frac{c}{d}[/tex]Our first fraction will be the two values we are given: 14 chapters and 56% of the book.
[tex]\displaystyle \frac{14}{56}[/tex]Then, our second fraction will contain an unknown variable. We would need to complete this many chapters to complete the book, so 100% of the book would be read once a certain number of chapters are reached. Therefore, we don't know how many chapters are needed to complete the book, so this is our unknown variable. We can define this as x.
Therefore, our second fraction is:
[tex]\displaystyle \frac{x}{100}[/tex]Now, we can set these fractions equal to each other.
[tex]\displaystyle \frac{14}{56} = \frac{x}{100}[/tex]Then, we can cross multiply our fractions to create an equation. Following our sample proportion, we would get:
[tex]{ac = bd}[/tex]So, we can follow the same policy with our proportion.
[tex]\displaystyle (14)(100) = (56)(x)\\\\1400 = 56x\\\\56x = 1400\\\\\frac{56x}{56} = \frac{1400}{56}\\\\x = 25[/tex]
Therefore, 56% of the book is 14 chapters. With this information, we have determined that 100% of the book is 25 chapters.