Answer:
Step-by-step explanation:
Corresponding parts of the congruent triangles are congruent [CPCTC]
By using this property of congruent triangles,
15). ΔABC ≅ ΔABR
BC ≅ BR [By CPCTC]
16). ΔJIH ≅ ΔJIW
∠HJI ≅ ∠WJI [By CPCTC]
17). ΔBDC ≅ ΔBDJ
∠CBD ≅ ∠JBD [By CPCTC]
Pls help me I will Brianlest
Answer:
$4400
Step-by-step explanation:
Total earnings = $1038
Base salary = $675
What part of the total earnings was from the commission?
$1038 - $675 = $363
She made $363 in commissions.
The commissions are 8.75% of the sales.
Let sales = x.
8.25% of x = $363
0.0825x = 363
Divide both sides by 0.0825
x = 4400
Answer: Her sales were $4400
Match each mixed number to it's improper fraction.
Answer:
9/2
5/3
13/4
3/2
Step-by-step explanation:
Tony bought 8 books about plants and 3
books about fish. He also bought 7
science magazines. Each book cost $6
and each magazine cost $5. How much
did Tony spend in all?
Answer:
Tony spent $101.
Step-by-step explanation:
11*6 = 66
7*5 = 35
66+35 = 101
A certain student has taken 124 credit hours so far in college. The student took the same number of credit hours in each fall semester and the same number of credit hours in each spring semester. The equation 15x + 16y 124 represents this situation, where x is the number of fall semesters and y is the number of spring semesters in which the student has taken classes. How many more credit hours did the student take in each spring semester than in each fall semester?
Answer:
Hi how are you doing today Jasmine
Write the decimal 0.00383 in words
Answer:
point zero zero three eight three
Answer: three thousandths
Step-by-step explanation:
hope this helped
Which best describes the figure that is represented by the following coordinates
A(—3,4) B (3, 4) C (3, —2) and D (—3 —2)
Answer: Rectangle
Reasoning: 4 straight sides, 2 pairs of sides of equal length.
How many fourths are there in 1 3/4?
Answer:
12 one fourths
Step-by-step explanation:
There 3 × 1 1 / 4 = 3 × 4 = 12 one fourths in 3 .
Answer:
7
Step-by-step explanation:
1 3/4 = (4+3)/4 = 7/4 = 7 fourths
For what value of the number k is the following function differentiable at x=2
f(x) = {2x + 1 if x<2
k x=2
3x-1 x>2}
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Find the value for x and y for the triangle. Show work.
Answer:x= 8/√3, y= 16/ √3
Step-by-step explanation:
See the picture below
Can anyone help me with this
Answer:
D. 8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
Step-by-step explanation:
(8x⁸ - 9x³ + 3x² + 9) + (4x⁷ + 6x³ - 2x)
Apply distributive property to eliminate parentheses
8x⁸ - 9x³ + 3x² + 9 + 4x⁷ + 6x³ - 2x
Collect like terms
8x⁸ + 4x⁷ - 9x³ + 6x³ + 3x² - 2x + 9
8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
Help! Anyone??
The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.
a. Find and interpret the slope.
b. Interpret the slope.
Step-by-step explanation:
not sure about this one sorry cant help ya but i do have a hint its B
I would appreciate if someone would help me
Answer:
x = 12
Step-by-step explanation:
We know that the integers are consecutive. This means that they can be written as:
x, x + 1, and x+2.
First Integer: x
Second Integer: x + 1
Third Integer: x + 2
It is also given that the sum of the first integer and twice the second is 80 minus three times the third.
Write as an equation:
First Integer + 2(Second Integer) = 80 - 3(Third Integer)
Substitute:
x + 2(x+1) = 80 - 3(x+2)
Multiply:
x + 2x + 2 = 80 - 3x - 6
Simplify:
3x + 2 = 74 - 3x
Add 3x to both sides of the equation:
6x + 2 = 74
Subtract 2 from both sides of the equation:
6x = 72
Divide both sides of the equation by 6:
x = 12
Let me know if you have any questions about my explanation!
Answer:
Smallest Integer = 12Step-by-step explanation:
According to question ,
• First Integer → x
• Second Integer → x + 1
• Third Integer → x + 2
Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,
→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )
→ x + 2x + 2 = 80 - 3x - 6
→ 3x + 2 = -3x + 74
→ 3x + 3x = 74 - 2
→ 6x = 72
→ x = 72/6
→ x = 12
Hence , value of x is 12 that means :
→ x = First Integer = 12
→ x + 1 = Second Integer = 13
→ x + 2 = Third Integer = 14
In all of these x is the smallest integer and hence 12 is the correct answer .
A graph showing a proportional relationship will...
In ΔNOP, o = 720 inches, ∠P=163° and ∠N=16°. Find the length of n, to the nearest 10th of an inch
Answer:
11371.4
Step-by-step explanation:
delta math
The length of n is 11373.1 inches
What is triangle?"It is a polygon having three sides, three vertices.""The sum of all angles of triangle is 180°"
For given example,
As we know for ΔNOP,
[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]
We know that the sum of all angle of triangle is 180°
For ΔNOP,
⇒ ∠N +∠O + P = 180°
⇒ 16° + ∠O + 163° = 180°
⇒ ∠O = 180 - 179
⇒ ∠O = 1°
The length of n is,
[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]
Therefore, the length of n is 11373. 3 inches
Learn more about triangle here:
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what is the value of the function y = 3/4x - 5 for x = -4
Answer:
y= 5.33333
Step-by-step explanation:
i think this is right DON'T MARK BRAILIST
Which of the following is equal to 4/7 - 4/7
. 0
. 1
. Undefined
. 1/7
Answer:
0 is the answer
Step-by-step explanation:
4-4=0
7-7=0
25x^3+5x^2+30x+6=0 solve
Answer:
x = -1/5, x = i sqrt(30)/5, x = -i sqrt(30)/5
Step-by-step explanation:
25x^3 + 5x^2 + 30x + 6 = 0
5x^2(5x + 1) + 6(5x + 1) = 0
(5x + 1)(5x^2 + 6) = 0
5x + 1 = 0
5x = -1
x = -1/5
5x^2 + 6 = 0
5x^2 = -6
x^2 = -6/5
x = +/- sqrt(-6/5)
x = +/- i * sqrt(30)/5
x = i sqrt(30)/5 or x = -i sqrt(30)/5
Identify the values of the variables. Give your answers in the simplest radical form.
Answer/Step-by-step explanation:
✔️Find k:
Reference angle = 60°
Hypotenuse = k
Opposite = 9
Therefore, using trigonometric ratio, we have:
[tex] sin(60) = \frac{9}{k} [/tex]
Multiply both sides by k
[tex] k*sin(60) = 9 [/tex]
Divide both sides by sin(60)
[tex] k = \frac{9}{sin(60)} [/tex]
[tex] k = \frac{9}{\frac{\sqrt{3}}{2}} [/tex]
[tex] k = 9*\frac{2}{\sqrt{3}} [/tex]
[tex] k = \frac{18}{\sqrt{3}} [/tex]
Rationalize
[tex] k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]
[tex] k = \frac{18\sqrt{3}}{3} [/tex]
[tex] k = 6\sqrt{3} [/tex]
✔️Find f:
Reference angle = 60°
Opposite = 9
Adjacent = f
Therefore, using trigonometric ratio, we have:
[tex] tan(60) = \frac{9}{f} [/tex]
Multiply both sides by f
[tex] f*tan(60) = 9 [/tex]
Divide both sides by tan(60)
[tex] f = \frac{9}{tan(60)} [/tex]
[tex] k = \frac{9}{\sqrt{3}} [/tex]
Rationalize
[tex] k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]
[tex] k = \frac{9\sqrt{3}}{3} [/tex]
[tex] k = 3\sqrt{3} [/tex]
Sarah bought 4 pens for $1.00. How many did she pay for each pen?
Answer:
Sarah paid 25 cents for each individual pen
Step-by-step explanation:
Answer:
she paid .25 cents for each
Step-by-step explanation:
1.00÷4=.25
What is the answer to 34/6?
Answer:
I don't Know if this is division or fraction
Step-by-step explanation:
But I divided
and my answer was 5r4
What is the area, in square meters, of the figure below?
image 38818c4f95f746c7ac661469284baba9
Answer:
ujjjhhhggokkkkbfdxfghhhhbb
Simplify the expression: 2(2 + g) =
Answer:
4 + 2g
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2(2 + g)
Step 2: Expand
Distribute 2: 2(2) + 2(g)Multiply: 4 + 2gIf 5 students play the flute and 7 students play the clarinet, what is the ratio of clarinet players to fluteplayers?
Answer:
5:7
hope it helps........
The triangle shown below has an area of 12 units squared.
Find x.
Answer:
4
Step-by-step explanation:
area of triangle= 1/2 x perpendicular height x base
What property does the following equation show? 5+7+9=7+5+9
Answer:
Commutative property of addition
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum.
A figure has been dilated from center 0 by a scale factor of = 7/6 . What scale factor would shrink the dilated figure back to the original size?
Answer:
6/7
Step-by-step explanation:
1 x 7/6 x 6/7 = 1
A scale factor of 6/7 would shrink the dilated figure back to its original size.
To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:
Reciprocal of 7/6 = (6/7)
So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.
To know more about scale factor
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Growing up, I never got enough of my favorite side dishes. I even conducted a - survey to prove to my family that they should make more mashed potatoes. In my survey, I found that the ratio of people who prefer mashed potatoes to sweet potato casserole was 7:2. I 18 people preferred sweet potato casserole, how many preferred mashed potatoes? .S
Answer:
63 people prefer mashed potatos
Step-by-step explanation:
18 divided by 2 is 9
7 multiplied by 9 is 63
:)
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove
Please help<3
Select the correct answer.
Which equation is equivalent to the given equation?
22 - 6x = 8
OA (1 – 3)2 = 14
OB. (1 – 3)2 = 17
Oc. (= – 6)2
OD. (1 – 6)2 = 20
= 44
Answer:
Step-by-step explanation:
B
find the nth term of this quadratic sequence
2, 8, 18, 32, 50,