Answer:
3. Given: R is the midpoint of both PT and QS and TSR. ∆ are right triangles. Prove: PQR. ∆. ~ TSR. ∆. 5. Given: AB = CB = 9 cm.
Step-by-step explanation:
Δ PQR ≅ Δ TSR by AAS congruency rule.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are congruent to each other.
The given information are QR = SR and ∠ QPR = ∠ STR
The proof is as follows :-
Statement Reasons
QR = RS Given
∠ QPR = ∠ STR Given
∠ PRQ = ∠ TRS Vertically opposite angles
Δ PQR ≅ Δ TSR AAS congruency rule
AAS congruency rule :-
Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
Hence, the triangles are congruent by AAS congruency rule.
For more references on congruency, click;
https://brainly.com/question/30105362
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Write the word sentence as an inequality.
A number is less than or equal to 5.
Answer:
x ≤ 5
Step-by-step explanation:
This one is pretty easy
530.2 grams divided by 3 then take away 47.36
Answer:
Should be 129,37333333
Answer:
Step-by-step explanation:first you divide 530.2/3=176.73, then you subtract 47.36=129.37
Question 7 of 25 Which of the binomials below is a factor of this trinomial? x - 6x-16 O A. X-1 O B. X-8 OC. X-16 O D. x-2
Answer:
(x-8) is the factor.
Step-by-step explanation:
The given trinomial is [tex]x^{2}-6x-16[/tex].
We need to find the factor of this trinomial.
[tex]x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)[/tex]
The factors of [tex]x^{2}-6x-16[/tex] is (x-2) and (x-8).
So, the factor of [tex]x^{2}-6x-16[/tex] is (x-8). Hence, the correct option is (B).
The table below shows the number of teachers with different hair colors at a school.
Answer:
whats the drop down answers
Step-by-step explanation:
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply A. 18
B. -7
C. 0
D. -25
Answer:
c
Step-by-step explanation:
the graph has no side value, therefore the answer is 0
Translate Q(3,-8) using (x,y)—>(x-6, y + 2)
A-1 Deli sells jugs of iced tea that they have marked up 150% above their wholesale cost of $0.80 per jug. They also charge sales tax of 9%. What is the total cost of a jug of iced tea from A-1 Deli?
$1.27
$1.31
$2.00
$2.18
Answer:
$2.18
Tell me if I'm wrong :) Hope this help too!
Step-by-step explanation:
Answer:
Option 4: $2.18
Step-by-step explanation:
Lets first analyse our given information. We know that:
- Original Cost Per Jug: $0.80
- Mark Up cost: 150%
- Sales Tax: 9%
What is 708 Times 8 pls hurry
Hey! any help is appreciated!!
I WILL GIVE 15 POINTS
Find the value of x
A. 48
B. 74
C. 66
D. 56
Step-by-step explanation:
48 us the correct answer
Answer:
48
Step-by-step explanation:
Solve for x.
1. x=3
2. x=10
3. x=80
4. x=140
Answer:
x=3
Step-by-step explanation:
arrow KPQ=30+x, arrow KRQ=360-30x-50=310-50
angle P= (310-30x)÷2
310-30x=2×110
x=3
Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?
A. M<1+ M<2 +M<3 + m<4 = 360
B. The sum of the measures of angles of a triangle is 180°
C. The measure of all right is 90°
D. Because <1 and <2 are each supplementary to <3, they are therefore congruent
Answer:
D. Because <1 and <2 are each supplementary to <3, they are therefore congruentStep-by-step explanation:
A. m<1 + m<2 + m<3 + m<4 = 360
Incorrect in terms of the proofB. The sum of the measures of angles of a triangle is 180°
Not relevantC. The measure of all right is 90°
Not relevantD. Because <1 and <2 are each supplementary to <3, they are therefore congruent
Correcthow much is 5 quarters and 8 dimes?
Answer:
205
Step-by-step explanation:
Answer: 2.05 dollars
=================================================
Work Shown:
1 quarter = 25 cents
5 quarters = 125 cents .... multiply both sides by 5
1 dime = 10 cents
8 dimes = 80 cents .... multiply both sides by 8
(5 quarters) + (8 dimes) = (125 cents) + (80 cents) = 205 cents
205 cents = 205/100 = 2.05 dollars
-------------------------
Another way to approach the problem is to compute
5*25 + 8*10 = 205
that's the total number of cents
What is 20% of 14.98
Answer:
2.996
Step-by-step explanation:
14.98 * 0.20 = 2.996
Hope this helps!
Evaluate the function below for X=3:
2x^3 - x^2 - 4x + 9
A. 9
B. 42
C. 60
D. 204
Answer:
42
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2x³ - x² - 4x + 9
x = 3
Step 2: Evaluate
Substitute in x: 2(3)³ - 3² - 4(3) + 9Exponents: 2(27) - 9 - 12 + 9Multiply: 54 - 9 - 12 + 9Subtract: 45 - 12 + 9Subtract: 33 + 9Add: 42please help me!!!!!!!!!!
Should be D. F(X) = 1 over x+1
Answer:
D)F(x)=1/x+1
Step-by-step explanation:
Where
Domain x≠ -1
Vertical intercept (0,1)
I am 100% sure you can go with it
in a small bag there are 3 skittles and 7 m&ms . in a large bag there are 60 skittles and some proportionate amount of m&ms how many pieces of total candy are in the large bag? ANSWER ASAP PLEASE
Answer:
There will be 200 pieces of candy in the big bag.
Please please please help
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275. Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points) Part B: Write the equation obtained in Part A using function notation. (2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
:)
Step-by-step explanation:
Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
But if you are writing the equation in standard form it would be
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.
Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
A car can cover a distance of 522 km on 36 litres of diesel . How can far can it travel with 14 litres of diesel?
[tex] \frac{14}{36} \times 522 \\ = 203km \\ \\ [/tex]
Point A has coordinates (6,4) and point B has coordinates (2,7) write AB as column vector. Plz plz plz
Answer:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
Step-by-step explanation:
Column Vector
Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.
It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).
The vector directed from A to B is found by subtracting its corresponding coordinates:
[tex]\overrightarrow{AB }=<2-6,7-4>[/tex]
[tex]\overrightarrow{AB }=<-4,3>[/tex]
Now we express the vector as a one-column matrix as follows:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
What is the quotient of 2/3 / 2/9
Answer:
3
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] / [tex]\frac{2}{9}[/tex] =
[tex]\frac{2}{3}[/tex] * [tex]\frac{9}{2}[/tex] =
3
Hope this helped! <3
Three times the sum of 2 and e.
a) 3e+2
b) 3(e-2)
c) 3(e+2)
d) 2e+3
Answer:
c) 3(e+2)is the right answer.
Answer:
3(e+2)
please mark me brainliest and follow me my friend.
f(x)= −x^2+10x−6
Find f(−5)
Answer:
f(-5) = -81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -x² + 10x - 6
f(-5) is x = -5
Step 2: Evaluate
Substitute: f(-5) = -(-5)² + 10(-5) - 6Exponents: f(-5) = -(25) + 10(-5) - 6Multiply: f(-5) = -25 - 50 - 6Subtract: f(-5) = -75 - 6Subtract: f(-5) = -81In a chemistry lab, acid and water are mixed in the ratio 1 : 5. A bottle contains 228 ml of the mixture. How much water were needed to make this amount of mixture?
Given that,
The ratio of acid and water is 1 : 5.
A bottle contains 228 ml of the mixture.
To find,
How much water were needed to make this amount of mixture.
Solution,
Let acid is x and water is 5x. ATQ,
x+5x = 228
6x = 228
x = 38
Acid = 38 mL
Water = 5x
= 5(38)
= 190 mL
Hence, 190 mL of water is needed.
Find the missing length of the right triangle.
a
21
35
Answer:
28
Step-by-step explanation:
Use the pythagorean theorem and solve for a:
a² + b² = c²
a² + 21² = 35²
a² + 441 = 1225
a² = 784
a = 28
So, the missing length is 28.
4/5 times 15 in simplest form
Answer:
12
Step-by-step explanation:
4/5 * 15
~Rewrite
4/5 * 15/1
~Multiply
60/5
~Simplify
12
Best of Luck!
The ratio 20 minutes to an hour can be written in the form1:n
Answer:
n = 3
Step-by-step explanation:
To go from 20 to 1, you must divide 20 by 20. So, to find n, you must divide 60 by 20
A triangle with vertices at (1,1), (1,-3), and (3,-3) is acute. In complete sentences, explain whether this statement is true or false, and explain why?
9514 1404 393
Answer:
False; the triangle is "right"
Step-by-step explanation:
The segments lying on lines x=1 and y=-3 make a right angle with each other. The triangle is a right triangle, not an acute triangle.
A credit card company charges a 3.5% transfer fee to transfer a balance to a new account. What would the transfer fee be for a balance transfer of $7,500?
Answer:
$262.5
Step-by-step explanation:
We are told that:
A credit card company charges a 3.5% transfer fee to transfer a balance to a new account.
The transfer fee be for a balance transfer of $7,500 is calculated as:
3.5% × $7500
= 3.5/100 × $7500
= $262.5
The transfer fee for a balance transfer of $7500 is $262.5
please help me out with this problem!
Answer:
-7 × 6
Step-by-step explanation:
-7×6 = -42
-7+6= -1
hope u can understand
plz help-
I don't wanna fail math-
again...