Answer:
1. angle DEF
2. definition of congruent angles
3. the measure of angle GHI
Step-by-step explanation:
The statement are
Angle DEFDefinition of congruent anglesAngle GHIWhat is Congruence?Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.
Given:
∠ABC ≅ ∠DEF and
∠GHI ≅ ∠DEF
1. Angle ABC and angle DEF are congruent
2. By the definition of congruent angles, the measure of angle ABC is equal to the measure of angle DEF.
3. By the substitution property, the measure of angle ABC is equal to the measure of angle GHI.
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Tell whether −0.4848... is terminating or repeating.
Answer:
repeating.Step-by-step explanation:
0.4848....... as you can see, the 48 keeps repeating
Answer:
repeating
Step-by-step explanation:
- 0.48484848.. = - 0.(48) = repeating decimal (periodic)
Good luck !
Simplify 7(A - 6).
7A - 42
7A - 6
A - 6
Answer:
7A - 42
Step-by-step explanation:
7(A - 6)
Distribute
7A - 7*6
7A - 42
Based on the given information, choose the abbreviation of the postulate or theorem that supports the conclusion that ΔABC ΔSRT. If the conclusion cannot be drawn from the given information, then choose "not possible." Given: A = S, BC = RT, AB = RS. SSS SAS ASA not possible
Answer:
SAS
Step-by-step explanation:
Given
[tex]Triangles\ ABC\ \&\ SRT[/tex]
[tex]A = S\\ BC = RT\\ AB = RS.[/tex]
Required
Select from the given options, which answers the question
The given parameters show that:
There's an equal angle
i.e.
[tex]A = S[/tex] Angle (A)
And equal two sides
[tex]BC =RT[/tex] Side (S)
[tex]AB = RS[/tex] Side (S)
So, we can postulate that SAS exist
Hence: option (b) answers the question
Carl and Stephen and Brittney completed in a shot put competition .Stephen's toss was 4.08 feet farther than Brittney's. Carl's toss was 2.14 shorter then Stephen's
Answer:
R4ARAQuestion
Carl and Stephen and Brittney completed inQuestion
Carl and Stephen and Brittney completed in a shot put competition .Stephen's toss was 4.08 feet farther than Brittney's. Carl's toss was 2.14 shorter then Stephen's a shot put competition .Stephen's toss was 4.08 feet farther than Brittney's. Carl's toss was 2.14 shorter then Stephen's RARRARAGG
Step-by-step explanation:
h. Four businessman invested a sum of Rs.
250000 in the ratio of 3:5:7:10 to start
a new bushess
i) Find the sum invested by each of them
i At the end of the year, if they gained
Rs 50,000 divide the profit among them in the ratio of their shapes
.
Answer:
The answers are in solutions.
Step-by-step explanation:
Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.(i) The amount invested by each businessman is;
1^st businessman invested:
[tex]\frac{3}{25} * 250,000 =[/tex] Rs. 30,000
2^nd businessman invested:
[tex]\frac{5}{25} * 250,000[/tex] = Rs. 50,000
3^rd businessman invested:
[tex]\frac{7}{25} *250,000[/tex] = Rs. 70,000
4^th businessman invested:
[tex]\frac{10}{25} *250,000[/tex] = Rs. 100,000
If they gained Rs. 50,000(ii) The profit each one of them got is;
1^st businessman got:
[tex]\frac{3}{25} * 50,000[/tex] = Rs. 6,000
2^nd businessman got:
[tex]\frac{5}{25} *50,000[/tex] = Rs. 10,000
3^rd businessman got:
[tex]\frac{7}{25} *50,000[/tex] = Rs. 14,000
4^th businessman got:
[tex]\frac{10}{25} *50,000[/tex] = Rs. 20,000
Question 2
Find the slope of the line that passes through (-3,-1) and (2,1).
Answer: 2/5
Step-by-step explanation:
1--1 2 2
------- = ------ = -----
2--3 5 5
I'm 100% sure this time
A) During February, Kevin will water his ivy every third day and water his cactus every fifth day. On which date will Kevin first water both plants together? (Enter just the number, not the month)
B) During February, Kevin will water his ivy every third day and water his cactus every fifth day. After the first time he waters them together, will Kevin water both plants together again in February?
It’s ok if you answer one. Thank you
Answer:
A. 5th day B. Yes
Step-by-step explanation:
Ivy: 3,6,9,12,15
Cactus: 5,10,15,20,25
Right now that would be the 5th day. So yes, he will water them again in February.
If DM = 60, what is the value of r?
Answer:
it’s 11.
Step-by-step explanation:
The value of r if DM = 60 according to the question is; 11
According to the diagram given;
The line DM = DG + GM
where DG = 4r and GM = r + 5The line DM is therefore;
60 = 4r + r + 55r = 55r = 55/5r = 11.Read more;
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<B is a complement of <A and m<A = 65.2° find m<B
Answer:
Step-by-step explanation:
<B is a complement of <A
=> m<A + m<B = 180°
65.2° + m<B = 180°
m<B = 180° - 65.2° =114.8°
Answer:
24.8
Step-by-step explanation:
Complementary means they add u to 90°. So to find the measurement of ∠B you must subtract ∠A from 90°. ∠A = 65.2. 90 - 65.2 = ∠B. 90 - 65.2 = 24.80°
4y−7+2y=3(y−1)−1 answer for y
Answer:
y = 1
Step-by-step explanation:
4y−7+2y=3(y−1)−1
6y −7 = 3y - 3 - 1
6y −7 = 3y - 4
6y = 3y + 3
3y = 3
y = 1
a) 15
b) 75
c) 90
d) 105
Answer:
a
Step-by-step explanation:
you can add but not subtract and so you can go to your step
What is 42, 100, 000, 000 in scientific notation?
Answer:
4.21×10^10
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helps :)
The 42, 100, 000, 000 in scientific notation wll be 4.21×10^10
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
The value in terms of power of 10 is known, helps in easy comparison of quantities differing by a large value.
Given the term as 42, 100, 000, 000
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places, that move will be the exponent on the 10. If the decimal is being moved to the right, the exponent would be negative. If the decimal is being moved to the left, the exponent will be positive.
The term in scientific notation is; 4.21×10^10
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Maxwell used the diagram below to help determine 75% of 24. Which expression could Maxwell have used to find 75% of 24?
Answer:
you would divide 24 by 4. and you should get 6. multiply 6 by 3 and 18 is your anwser.
Step-by-step explanation:
Answer:
C (3/4)(24)
Step-by-step explanation:
Allison works in a department store selling
clothing. She makes a guaranteed salary of $350
per week, but is paid a commission on top of her
base salary equal to 15% of her total sales for the
week. How much would Allison make in a week in
which she made $300 in sales? How much would
Allison make in a week if she made xx dollars in
sales?
Answer:
a. $395
b. $(350 + 0.15x)
Step-by-step explanation:
Her income in a week can be written as;
$350 + 15% of sales
a. In the case of $300 sales in a week
Mathematically, that would be;
$350 + 15% of $300
$350 + (15/100 * 300)
$350 + $45 = $395
b. In the case of $x in sales
= $350 + 15% of x
= $350 + (15/100 * x)
= $350 + 0.15x
= $(350 + 0.15x)
Need help please! (Will mark as Brainliest)
Answer:
nun of thease
Step-by-step explanation:
HalP pLs and tY first person to answer get brainliests :}
Answer:
52
Step-by-step explanation:
which statement is false
Answer:
C
Step-by-step explanation:
measure BOA and measure COA are not congruent.
2(x - 4) = 2(-2x + 1)
Answer:
?
Step-by-step explanation:
Answer:
x=10/6
Step-by-step explanation:
2x-8=-4x+2
6x=10
--- ---
6 6
x=10/6
Which sequence shows the numbers in order from least to greatest?
A.
B.
C.
D.
Answer:
The answer is C
Step-by-step explanation:
-6 is the largest because it is an absolute value number so it turns into 6
-100 is the smallest because the bigger a negative number is the smaller it actually is.
Solve for m:
E = mc²
Pls help me :)
Answer:
m = E/c²
Step-by-step explanation:
Step 1: Write equation
E = mc²
Step 2: Divide both sides by c²
E/c² = m
Step 3: Write
m = E/c²
PLEASE HELP TIMED
In the figure shown, t || x and k || w and m∠3 = 20°. Choose the list which includes all of the other angles that measure 20°.
Answer:
D. 1, 5, 7, 9, 11, 14, 16
Step-by-step explanation:
Your welcome ;)
The angles whose measurement are same as that of ∠3 are -
∠1 , ∠5 , ∠7 , ∠9 , ∠11 , ∠14 , ∠16.
What area parallel lines?
Two or more lines that lie in the same plane, equidistant from each other and never intersect each other are known as parallel lines.
Given is a figure in which - t || x and k || w and m∠3 = 20°.
The angles whose measurement are same as that of ∠3 are -
∠3 = ∠1 (Vertically opposite angles)
∠3 = ∠5 (Alternate interior angles) ... [1]
∠5 = ∠7 (Vertically opposite angles)
∠3 = ∠7 ( from [1] )
∠4 = 180 - ∠3 (Straight angle)
∠4 = ∠10 (opposite angles of a parallelogram are equal)
∠10 = 180 - ∠9 (Straight angle)
We can write -
∠4 = ∠10
180 - ∠3 = 180 - ∠9
180 - 180 - ∠3 = - ∠9
∠3 = ∠9 .... [2]
∠9 = ∠11
∠3 = ∠11 ( from [2] ) .... [3]
∠11 = ∠14 (Alternate interior angles)
∠3 = ∠14 ( from [3] ) .... [4]
∠14 = ∠16 (Vertically opposite angles)
∠3 = ∠16 ( from [4] )
Therefore, the angles whose measurement are same as that of ∠3 are -
∠1 , ∠5 , ∠7 , ∠9 , ∠11 , ∠14 , ∠16
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[The given question is not complete. Refer to the image attached for complete question]
help me can you explain the answer for this question
Answer: Brand C because...
Step-by-step explanation:
Brand A= 0.23 for 1 ounce
Brand B=0.225for 1 ounce
Brand C= 0.21 for 1 ounce
Brand D= 0.25 for 1 ounce
What is the area of the triangle?
2/3x 5 = 7 please help me
Answer:
I think x=18
Step-by-step explanation:
How do i do this????
Blank 1=8
Blank 2=3
Blank 3=11
Answer:
triangle=8, diamond=3, star=11
Step-by-step explanation:
First you want to start with the equation that only has only shape/variable.
triangle ÷ 2 = 4
multiply both sides by 2 to find that triangle=8.
Now we can plug triangle in another equation.
2+diamond+diamond=triangle
2+diamond+diamond=8
subtract 2 from both sides
diamond+diamond=6
because we know diamond and diamond will be the same, we can divide 6 by 2 to find diamond=3.
Now we can go to the top equation
triangle + diamond + star = 22
8 + 3 + star = 22
11 + star = 22
star = 11
a plumber chargers a base fee of $55 for a service call plus $55 per hour for each hour worked during the service call. use your equation to calculate how much money it will cost if the plumber works 4 hours
Answer:
The plumber will charge $275
Step-by-step explanation:
Models
Models are used to explain and predict the behavior of real objects or systems and are used in a variety of scientific disciplines.
The situation described in the question asks us to build a mathematical model for the charges for the service of a plumber.
The base fee is often called the fixed fee, which charged even if there is no service time. The plumber charges a base fee of $55.
The variable fee is that who changes for each hour worked. The plumber charges $55 per hour, so the charge for t hours of service is 55t.
The total charges of the plumber are modeled as:
C(t)=55t+55
If the plumber works t=4 hours, the cost will be:
C(4)=55*4+55=$275
The plumber will charge $275
Which expression is equivalent to -3(x+ 4)?
A. x (-3+4)
B. x+4(-3)
C. -3x+1
D. -3x - 3(4)
Answer:
-3 ( x + 4) = -3x-3 (4) it's option D
A scuba diver is 5 1/2 feet below the surface of the water. She then dives 2 2/5 feet deeper. How far below the surface of the water is the scuba diver?
A. 7 9/10
B.-7 3/7
C. -7 9/20
D. -7 9/10
7. The length of a rectangle is two more than its width. The perimeter of the rectangle is 36 feet. What are the dimensions (length and width) of the rectangle?
*Show work*
Step-by-step explanation:
length = x + 2
width = x
x + x + (x+2) + (x+2) = 36 ft
4x + 4 = 36 ft
4x = 32 ft
x = 32 ÷ 4
x = 8 ft
dimensions = length x width
= (x+2) × x
= (8+2) × 8
= 10 ft × 8 ft
Given the function: f (x) = StartRoot 3 x + 6 EndRoot What is the inverse function of f(x)? f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2 f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ 0 f –1(x) = – 6x2 – 3, x ≥ –2 f –1(x) = – 3x2 – 6, x ≥ 0
Answer:
f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2
Step-by-step explanation:
answer is A on edge
The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].
Here,
A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]
We have to find the inverse of given function.
What is Inverse function?
An inverse function is a function that undoes the action of the another function.
Now,
A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]
To find inverse function,
Replace f(x) by y in the equation,
[tex]y = \sqrt{3x + 6}[/tex]
[tex]y^{2} = 3x + 6\\y^{2} -6 = 3x \\x = \frac{y^{2} - 6\\}{3}[/tex]
Replace every x by a y and solve for y, we get;
[tex]y = \frac{x^{2} - 6\\}{3}[/tex]
Replace y by [tex]f^{-1} (x)[/tex], we get,
[tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex]
Hence, The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].
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