Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
Answers
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA
Hope it helps you....
Please mark as brainlliest
Related Questions
Evaluate
[2- |-2/3 -2(-1/5)|] (-13)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answers
Answer: the answer - 2/15
Step-by-step explanation: i took the test
The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
What is an expression?Numbers, symbols and operators grouped together that show the value of something.
Given that an expression [2- |-2/3 -2(-1/5)|] ÷ (-13)
[2- |-2/3 -2(-1/5)|] ÷ (-13)
= [2 - 4/15]/ (-13)
= 26/15*1/(-13)
= -2/15
Hence, The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
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Prove: The square of an even number is even
Answers
Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?
They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.
Answers
Answer:
C.They have the same y-intercept.
Step-by-step explanation:
Edge 2021
The conclusion about the two functions is (c) they have the same y-intercept.
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
[tex]f(x) = (x + 4)^2[/tex]
Set x = 0, to calculate the y-intercept
[tex]f(0) = (0 + 4)^2[/tex]
Evaluate
[tex]f(0) = 16[/tex]
From the complete question, the graph crosses the y-axis at y = 16
This means that both functions have the same y-intercept
Hence, the true statement about the functions is (c) they have the same y-intercept.
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The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. What are the lengths of the other sides of this triangle?
Answers
Thr length of one of the sides of a triangle is equal to 1m, the mesurement of adjacent....... 45, 30 is lengths of the both side triangle.
THANK YOU
Solve for the missing side length
Answers
Answer:
x = 10Step-by-step explanation:
Similar right triangles (angle marked congruent).
Same proportion of corresponding sides:
x/15 = 14/21x/15 = 2/3x = 15*2/3x = 10Write the equation of the line in slope intercept form
Slope =−1/5 Y-Intercept =−3
Answers
Answer:
y = mx + c ......( general form)
y = -1/5X - 3
4 people are going to a dinner party. Each person at the party will eat pound of pasta. If you can only buy whole pounds of pasta, how many pounds should you buy?
Answers
Answer:
4 pounds 1 pound for each person
HELP ASAP
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
A
20
B
30
C
18
D
16
Answers
Answer:
C 18
Hope this helps
50 points + brainliest answer questions 7 and 8 with work and all
Answers
Answer:
7) m∠BHE = 146°
8) m∠BAC = 25°
Step-by-step explanation:
Question 7:Given that, [tex]\displaystyle\mathsf{\overline{CD}\:||\:\overline{EF}}[/tex], and that [tex]\displaystyle\mathsf{\overline{AB}}[/tex] is a transveral.
We are also provided with the following measures of the angles: m∠DGH = 2x, and m∠FHB = 5x - 51.
∠DGH and ∠FHB are also corresponding angles, as they have corresponding positions on the same side of the transversal, [tex]\displaystyle\mathsf{\overline{AB}}[/tex]. These two angles also have the same measure.
Solve for x:In order to find the measure of ∠BHE, we could set up an equality statement on ∠DGH and ∠FHB to solve for the value of x.
m∠DGH = m∠FHB
2x = 5x - 51
Add 51 and subtract 2x from both sides of the equation:
2x -2x + 51 = 5x - 2x - 51 + 51
51 = 3x
Divide both sides by 3:
[tex]\displaystyle\mathsf{\frac{51}{3}\:=\:\frac{3x}{3}}[/tex]
x = 17
⇒ m∠DGH = 2x = 2(17) = 34°,
⇒ m∠FHB = 5x - 51 = 5(17) - 51 = 34°.
Since ∠FHB and ∠BHE are supplements (whose sum add up to 180°), we could determine the measure of ∠BHE as follows:
m∠BHE + m∠FHB = 180°
m∠BHE + 34° = 180°
m∠BHE + 34°- 34° = 180°- 34°
m∠BHE = 146°.
Therefore, the measure of ∠BHE is 146°.
Question 8:Given that ΔABC with [tex]\displaystyle\mathsf{\overline{AC}}[/tex] extended to D, and that m∠ABC = 63° and m∠BCD = 92°:
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. In other words: ∠BCD = ∠BAC + ∠ABC.
Before we could apply the Exterior Angle Theorem, we must first find m∠BAC. Since ∠BCD and ∠BCA are supplements:
m∠BCD + m∠BCA = 180°
92° + m∠BCA = 180°
92° - 92°+ m∠BCA = 180° - 92°
m∠BCA = 88°
Solve for m∠BAC:Now that we have the measure for ∠BCA, we can find m∠BAC by applying the Triangle Sum Theorem where it states that the sum of the interior angles of a triangle is equal to 180°.
m∠BCD + m∠ABC + m∠BAC = 180°
92° + 63° + m∠BAC = 180°
125° + m∠BAC = 180°
155° - 155° + m∠BAC = 180° - 155°
m∠BAC = 25°
Therefore, the measure of ∠BAC is 25°.
Jorge bikes to school each day. If he can travel 33 miles in 11 hours, how fast does he travel in one
hour?
Write a symbolic expression using division that represents this problem.
Calculated Answer:
miles per hour
Answers
33 miles divided by 11 hours will give you the mile per hour traveled.
Answer: 3 miles per hr
Please help! Grade 7 math
Answers
Answer:
[tex]-\frac{5}{8}\\-9.2%\\\\-0.001[/tex]
-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%
Step-by-step explanation:
[tex]-\frac{3}{4}=-75[/tex]% 4.6%
Let's do the process of elimination to find our answers
[tex]-\frac{5}{8}=-62.5[/tex]% this would be in between because - 62.5% would be after -75%
[tex]\frac{5}{100}=5[/tex]% this fraction equals to a positive percentage which would be after 4 so not this one
[tex]-0.001 = -0.1[/tex]% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one
[tex]-0.75= -75[/tex]% we already have the percentage so not this one
33% this number would come after 4.6% so not this one
-9.2% this would be between them because its -9 and it will be after -75% and -62.5%
Function or non functional???
Answers
Answer:
The relation is a function.
Step-by-step explanation:
In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:
A relation is a function for which none of the ordered pairs have the same first component and different second components.
In the given relation:
The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.The given relation represents a function since none of the first components have the same corresponding second components. In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.
Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.
A hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.
Answers
Answer:
if its asking for final depth it is 48 fert below sea level
Step-by-step explanation:
43 + 17= 60
12 - 60 = 48
What is the main difference between multiplying decimals and whole numbers? If one factor has 2 decimal places and another factor has 1 decimal place, how many decimal places will the product of these two factors have?
the product of these two factors have?
Answers
Answer:
Both type of numbers have a decimal point but the decimal numbers can contain digits other than 0 so you have to worry for these numbers when you're multiplying and the placement of the decimal point in the answer.A way think about it is sum the total numbers after the decimal point, this work because the numbers can be represented as fractions (explanation below) so If one factor has 2 decimal places and another factor has 1 decimal place the answer have 3 decimal places.Step-by-step explanation:
A whole can be represented as 2.000 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.
So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.
Example:
Suppose the next two numbers 12.88 and 3.1 both have different amounts of number after the decimal point, but with the simplification we can see that the final answer contain 3 decimal places.
But, why this work? Well remember that a decimal can be represented as a fraction of this way
[tex]\frac{1288}{100} \quad \text{and} \quad \frac{31}{10}[/tex]
So if you does the product of these fractions you get the next value:
[tex]\frac{39928}{1000} = 39.928[/tex]
Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method take more time, so is more simply say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.
The table below shows the earnings, in thousands of dollars, for three different commissioned employees.
Employee #1
$2,000 + 3% on all sales
Employee #2
7% on all sales
Employee #3
5% on the first $40,000 + 8% on anything over $40,000
December
4.4
5.6
5.2
January
3.5
3.85
3.6
February
4.7
4.9
4.4
Which employee did not have the same dollar amount in sales for the month of February as the other two employees?
a.
Employee #1.
b.
Employee #2
c.
Employee #3
d.
They each had the same dollar amount in sales.
Answers
The employee who did not have the same dollar amount in sales for the month of February as the other two employees is (a) Employee 1.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Earnings of three employees in the month of February are :
Employee 1 = 4.7 = $4700
Employee 2 = 4.9 = $4900
Employee 3 = 4.4 = $4400
Earnings of employee 1 = $2,000 + 3% on all sales
Let the amount of all sales be x.
2000 + (3% x ) = 4700
2000 + 0.03x = 4700
0.03x = 2700
x = 90,000
Earnings of employee 2 = 7% on all sales
Let the amount of all sales be x.
0.07x = 4900
x = $70,000
Earnings of employee 3 = 5% on the first $40,000 + 8% on anything over $40,000
Let the amount of sales be 40,000 + x.
(0.05 × 40,000) + (0.08 x) = 4400
2000 + 0.08x = 4400
0.08x = 2400
x = $30,000
Amount of sales = $40,000 + $30,000 = $70,000
Hence employee 1 did not have the same amount as the other 2 in February.
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Mark has 6 more quarters than dimes in his pocket. In total, he has $3.60. Find the number of quarters and
dimes Mark has. All work must be shown.
Answers
Answer:
Mark has 12 quarters and 6 dimes.
Step-by-step explanation:
Emily sells her books through Amazon. She makes a profit of $3 per book sale, however, she needs to pay $6 to Amazon Pay in fees for using their app. How many books would she need to sell to make a profit of at least $120 per day?
Answers
Answer:
Step-by-step explanation:
ASSUMING the usage fees are daily fees
120 = 3x - 6
126 = 3x
x = 42 books
Find x using the pictures below please. Will mark branliest for first reply.
Answers
Step-by-step explanation:
a) We are going g to use the definition of tangent to find x:
[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]
[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]
b) To solve this problem, we are going to use the definition of cosine:
[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]
[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]
12. Suppose a computer manufacturer has the total cost function C(x) = 65x +3500 and the total revenue function
R(x) = 365x, where x represents the number of computers produced and sold. What is the profit on 326 items?
a. $86,500
b. $101,300
c. $94,300
d. $1,238,800
$143.680
Answers
Cost is 65x + 3500 where x is = 326.
65(326) + 3500
21,190 + 3500 = $24,690 is the cost.
Revenue is 365x where x is 326.
365(326) = $118,990
Now we subtract the two:
118,990 - 24,690 = $94,300
This means that the answer is C) $94,300.
I hope this helps! :)
help with khan academy
Answers
B is the value which is greater than zero.
A is the value which is less than zero.
B is -2/7.
A is -4/7.
C is 0.
What is the inequality graphed below?
Answers
Answer:
y>=5/3x+5
Step-by-step explanation:
line is y=5/3x+5
shading is above the line
line is shaded
y>=5/3x+5
Find 3 ordered pairs for each equation
Y= 5x+1
Y=10 - x
Y= 2x
Answers
2. (0,10) , (1,9) , (2,8)
3. (0,0) , (1,2) , (2,4)
hope this helps.
2. Solve for x: 2(x - 5) = x + 3(x + 2)
Answers
Answer:
x=-8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!
Which equation repersentes a
linear function?
Answers
Answer:
The formula y = mx + b is said to be a linear function
Step-by-step explanation:
Answer:
D. is a linear function
Step-by-step explanation:
A. rational function
B. quadratic function
C. cube root function
Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
Answers
Answer:
2969 cm³
Step-by-step explanation:
Volume of cylinder is
V=πr²h
=π*7.5²*16.8
=2968.8
=2969 cm³
Evaluate the expression for y=1.4, y=5, y=6.4
y ÷ 4
the expression y ÷ 4 is equal to ____ for y = 1.4.
Answers
Answer:
I think it is y=5...........
For every 3 boys in the class, there are 4 girls. How many boys are in the class if there 24 girls in all?
Answers
ratio 2.5 meters to 60 centimeters can be written jn the form 1:n
Answers
Answer:
1:24/100
Step-by-step explanation:
you divide both side
What’s the common ratio of the geometric sequence?
-4,-8,-16
Answers
Hello! :)
A geometric sequence is a sequence where you use multiplication or division to get to the next term.
-4, -8, -16...
Here, we multiply every number by 2. So the common ratio is 2.
Hope it helps, and let me know if you have any queries.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
Answer:
The answer is 2.
Step-by-step explanation:
To get the common ratio, simply dividing each number in the sequence from the number preceding it.
-4, -8, -16
-16 ÷ -8 = 2
- 8 ÷ -4 = 2
A motor that’s rated at 1/8 horsepower is used to drive a pump. How much horsepower will be applied to the pump if the motor delivers only 2/7 of its rated horsepower?
A. 23/56
B. 1/28
C. 2/15
D.7/16
Answers
Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.
From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.
Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:
= 2/7 × 1/8.
= 2/56
= 1/28
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