Answers
they have equivalent sides and equivalent measurements
Triangles given in Options (b) and (c) are similar.
Theorems of similar triangles: If two angles of a pair of triangles are equal in measure, then the triangles will be similar by A-A property. If corresponding sides of two triangles are proportional, both the triangles will be similar.
From the picture attached,
a). In triangle ABC,
∠A + ∠B + ∠C = 180° [By triangle sum theorem]
60° + ∠B + 40° = 180°
∠B = 80°
Similarly, in ΔDEF,
∠D + ∠E + ∠F = 180°
60° + 85° + ∠F = 180°
∠F = 35°
Since, measure of angles of both the triangles are different in measures, triangles will not be similar.
b). In ΔABC,
∠A + ∠B + ∠C = 180°
45° + 50° + ∠B = 180°
∠B = 85°
In ΔDEF,
∠D + ∠E + ∠F = 180°
50° + 85° + ∠F = 180°
∠F = 45°
Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E
Since, measure of corresponding angles are equal, both the
triangles (ΔABC ~ ΔFED) will be similar.
c). Here, corresponding sides of both the triangles are proportional,
[tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]
[tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]
[tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]
Both the triangles ΔABC and ΔDEF will be similar.
Therefore, Option B and Option C are the correct options.
Learn more about the similarity of two triangles here,
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Related Questions
Himari is solving the equation 4(−12)=16 4 x -12 = 16 . Her first step is 4−12=16 4 x - 12 = 16 .
Answers
Answer:
Step-by-step explanation:
4(−12)=16
4 x -12 = 16
Himari's solution is incorect.
it should be like shown below.
4 - (−12 ) = 16
4 + 12 = 16
16 = 16
so it equates balance.
Find the domain and range of the following absolute value functions. fx)=|x-1|+2 I’ll mark brainliest to whoever answers first
Answers
Answer:
Domain is All Real x.
Range is f(x) ≥ 2.
Step-by-step explanation:
The vertical lines about the x - 1 means the Absolute value ( always positive).
|x - 1| will always be positive or 0 and it's graph is shaped like a V with the vertex at (1, 0)
The + 2 will move the graph up 2 units so the vertex becomes (1, 2).
Solve the quadratic equation.
x^2 = -8x - 7
A. {7, -1}
B. {-1, -7}
C. {8,1}
D. {7,1}
E. (-8, -1}
Answers
Answer:
B, (-1, -7)
Step-by-step explanation:
9000 divided by thirty six long division***
Answers
Answer:
250
Step-by-step explanation:
Sarah's birthday is in 3 weeks how many days away is Sarahs birthday explain.
Answers
Her birthday is in 21 days because there are 7 days in 1 week so you multiply the number of weeks by how many days in a week there is
Answer:
21 days
Step-by-step explanation:
There a 7 days in a week, and there a 3 weeks so you would just multiply 7*3 which equal 21. Hope this helped.
given g(x)=5x+2 what is the value of g(3)
Answers
Answer:
g(3) = 17
Step-by-step explanation:
Step 1: Define
g(x) = 5x + 2
g(3) = x = 3
Step 2: Substitute and Evaluate
g(3) = 5(3) + 2
g(3) = 15 + 2
g(3) = 17
Answer:
g(3) +17 !!!
Step-by-step explanation:
1/2z + 5 = 11 What is Z?
1/2 is a fraction.
Answers
Answer:
12
Step-by-step explanation:
Subtract 5 from both sides to get the equation
1/2z=6
Then, multiply both sides by two.
z=12
Z equals 12 because when you split it in half you will get 6 as the whole number. and 6 plus 5 = 11
1- Find the slope of the line: y = -4/3 X-1*
m= -1 m= -4 m= -4/3 m= 4 v
Answers
Slope-intercept form: y = mx + b
m = the slope
y = the y-intercept
In our problem,
y = -4/3x - 1
m = -4/3
The slope is -4/3
In 2011, the average daily temperature in Darrtown was 65°F. In 2012, the average daily temperature increased by 3% but then decreased by 4.5% in 2013.
What was the daily average temperature in Darrtown in 2013?
A. 62°F
B. 64°F
C. 68°F
D. 74°F
Answers
Answer:
c
Step-by-step explanation:
because 65+3%+4.5=69
Which expressions are perfect square trinomials? Select the three correct answers.
Answers
Answer:
w²-24w+144
y²+6y+9
x²+20x+100
Step-by-step explanation:
w²-24x+144 = (w-12)²y²+6y+9 = (y+3)²x²+20x+100 = (x+10)²Please help it would help out alot
Answers
Answer:
p = 2mr+q
Explanation:
You have to get p by itself. Multiply each side by r. Then add q to each side. You should get 2mr + q = p.
Let g(x)=16-x^2. Compute g(4)-g(-2) over 4-(-2). Interpret your answer in part a.
Answers
g(-2)=16-(-2)*2=20
4-(-2)=6
8-20/6=-2
Solve graphically the inequality 2x + y >= 2
Answers
Answer:
y>=2-2x
Step-by-step explanation:
hope this helps
A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan? A = lw 10.4 in. 13.9 in. 18 in. 24 in.
Answers
Answer:
Let width = w
length = 4w/3
Area = 432 = length*width = w*4w/3
4w^2/3 = 432
w^2 = 432*3/4 = 324
w = 18
so the width of the cake pan is 18 inches.
The width of the rectangular pan is 18 inches and this can be determined by using the formula of the area of the rectangle.
Given :
A rectangular pan has a length that is 4/3 the width.
The total area of the pan is 432 square inches.
The following steps can be used in order to determine the width of the cake pan:
Step 1 - The formula of the area of the rectangle can be used in order to determine the width of the cake pan.
Step 2 - The area of a rectangle is given below:
[tex]\rm A = LW[/tex]
where L is the length and W is the width of the rectangle.
Step 3 - According to the given data, the length is 4/3 the width.
Step 4 - Substitute the values of the known terms in the above expression.
[tex]\rm 432 = w\times \dfrac{4w}{3}[/tex]
Step 5 - Simplify the above expression.
[tex]\rm 432 = \dfrac{4w^2}{3}[/tex]
[tex]\rm w^2 = 324[/tex]
w = 18 inches
Therefore, the correct option is C).
For more information, refer to the link given below:
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6t+5>23 I need this inequality solved thanks :))
Answers
Answer: t>3
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: t>3
Interval Notation: (3,∞)
Step-by-step explanation:
Write the original inequality. 6t + 5 > 23
Subtract 5 from each side to undo addition. 6t > 18
Divide each side by 6 to undo multiplication. t > 3
So our answer is t > 3.
Find two consecutive even integers such that six times the first equals five times the second.
Answers
Answer:
4 and 6 are the two consecutive even integers
Step-by-step explanation:
Hi,
Let x represent the smaller of the two consecutive even integers, (x+2) the other
Write as we Read***
6x = 4(x+2)
solve for x
6x = 4x + 8
2x = 8
x = 4
checking our answer
6*4 = 4*6 = 24
Ben buys bottles of sports drinks from the store for $2 each and takes them to his school's football games. He sells
them to the crowd for $5 each.
How many bottles
does he need to sell to make a profit of $75?
Answers
Answer:
15
Step-by-step explanation
We divide the amount he's selling them for, by the amount of money he needs to make.
75 divided by 5 equals 15.
He needs to sell 15 sports drinks to make $75.
Answer:
25
Step-by-step explanation:
75:(5-2)=25
and to check it
2×25=50
25×5=125
profit = 125-50
profit=75
answer is 25
how to change a bianary number into decimal number
Answers
1. Positional Notation
2. Doubiling
3. An Online Converter
Step-by-step explanation:
Hey there!!!
We generally multiply using base 2 and keep power that starts from 0 and goes on increasing and add all them at last to convert binary to decimal.
For example:
011110
To convert into decimal follow the steps.
1st step: Multiply with base 2 and keep power from right side starting from 0.
[tex]0 \times {2}^{5} + 1 \times {2}^{4} + 1 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
2nd step: solve powers and multiply with binary numbers.
This implies;
= 0 + 16 + 8 + 4 + 2 +0
= 30.... is your answer.
Hope it helps....
If you drive 70 miles per hour, how many minutes does it take to drive 110 miles?
Answers
Answer:
127.6 mins
Step-by-step explanation:
70m per 1hr
1 mile per 1.16 min
110 mile × 1.16 min per mile
127.6 minutes
Is 0.625 greater than 0.75
Answers
Answer:
no
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST How do you evaluate cube roots and square roots?
Answers
Answer:
Step-by-step explanation:
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. And know that the square root of 2 is irrational.
Hope this helps! ^^
HELP ASAP!! Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of equality, which number should she subtract from both sides of the equation? a. –4 b. –3 c. 3 d. 4
Answers
Answer:
C, 3
Step-by-step explanation:
you add 3 then divide by 4
5) through: (-3, 3), slope = 0
Answers
Answer:
3
Step-by-step explanation:
We know that -3 is on the x axis and 3 is on the y axis.
and the y axis usually determines if you are going to have a positive slope or negative since it would either rise or decrease. In this cause (-3, 3) shows that 3 is going to be our slope.
Answer:
y=3
Step-by-step explanation:
In a normal equation, y=mx+b, m=slope. If slope=0 in this equation, then it is safe to say that the equation is y=b. Since the Y coordinate is 3, then we can safely assume that the equation is equal to y=3
5^x + 5^x+1 = 150
Find x
Answers
Answer:
This might help u...
Which set of ordered pairs represents a function?
O {(-4,9), (-4,7), (1, -5), (7, -8)}
{(-5, -5), (-9,1), (8,-6), (-9,-4)}
{(-6, -6), (-2,-2), (7,-6),(-5,0)}
{(-7, -9), (-7, -7), (3,-7), (5,-5)}
Submit Answer
Answers
Answer: {(-6, -6), (-2,-2), (7,-6),(-5,0)}
Step-by-step explanation:
To find the ordered pairs that represent a function, we want to find one that doesn't have multiple outputs for one input.
{(-6, -6), (-2,-2), (7,-6),(-5,0)} is the correct answer because all the x are different, and have only one output.
Aaliyah bought 23 chicken wings for $39.10. If Aaliyah spent $32.30, how many chicken wings did she buy?
Answers
Answer:
She bought 19 chicken wings
Step-by-step explanation:
first, find how much 1 chicken wings cost
$39.1 / 23= $1.70 (1 chicken wings cost = $1.70)
32.30/ 1.70 = 19
She bought 19 chicken wings
Hope it helps
If my answer helps you, please give me a brainliest! thanks.
If Aaliyah spent $32.30, she brought 19 chicken wings.
What is division in mathematics?One of the four fundamental operations in mathematics is division, along with addition, subtraction, and multiplication. The splitting of a large group into smaller groups so that each group contains an equal number of items is a straightforward definition of division. It is a mathematical process used for equitable grouping and distribution.
Aaliyah bought 23 chicken wings for $39.10.
Hence, as the price of each chicken wings is same, the price of each chicken wings will be= $39.10÷23 = $ 1.70
She spent $32.30 in buying chicken wings.
So, The number of chicken wings, she got = $32.30/$1.70 = 19.
Hence, if Aaliyah spent $32.30, she brought 19 chicken wings.
Learn more about divisible here:
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Help me please thank you
Answers
The table represents the equation y = 2 – 4x The x-values are the The y-values are the The missing value in the table for x = –1 is y =
Answers
Answer:
1.) inputs
2.) output
3.) 6
Step-by-step explanation:
Hopefully this helps you ;)
pls mark brainlest :)
The missing value for x=-1 is y=6
How will you solve the equation?By substituting the known values in the equation gives the unknown value.
Given equation is y=2-4x
To find y when x=-1
Substitute x=-1 in given equation,
we get y=2-4(-1)
y=6
Hence, the value of y when x=-1 is 6
Learn more about solving equation here:
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If a rectangle is 5 units wide and x units high what is its perimeter?
Answers
Answer:
10 +2x
Step-by-step explanation:
Put the given values into the perimeter formula and simplify.
P = 2(L+W)
P = 2(5 + x)
P = 10 +2x . . . . the perimeter of the rectangle in units
What is the equation of the line that passes through (0, 3) and (7,0)?
Answers
Answer:
Step-by-step explanation:
(0 - 3)/(7 - 0)= -3/7
y - 0 = -3/7(x - 7)
y = -3/7x + 3