Step-by-step explanation:
5x
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Iro drives 50 miles/hour for 0.6 hours. Kalini drives 65
miles/hour for 0.5 hours.
Who drove farther, and how far did that person drive?
Answer:
iro 50*.6 gives us 30 miles
andkalini drives 65 for .5 65*.5= 32.5 miles
so kalini drove further
Given: x - 5 > -2.
Choose the solution set.
{x | x R, x > 3}
{x | x R, x > -3}
{x | x R, x > -7}
{x | x R, x > 7}
Answer:
{x | x R, x > 3}
Step-by-step explanation:
x - 5 > -2
Add 5 to each side
x - 5+5 > -2+5
x> 3
Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!
The proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
The given figure showing ΔABE ≅ ΔDCE is in the image attached below.
We know that:
E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.
E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.
∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.
This means that ΔAEB and ΔDEC have:
two pairs of congruent sides - AE ≅ ED and BE ≅ EC
one pair of congruent included side - ∠AEB ≅ ∠CED
Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.
If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.
Therefore, AB∥CD by the CPCTC Theorem.
Thus, the proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
Learn more about the CPCTC Theorem on:
https://brainly.com/question/14706064
20 points solve (x-3)(x^2+3x+9)=37
Answer:
the answer is x = 4.
1. use the quadratic formula.
2. use a coordinate plane to check your answer.
hope this helps.
Answer:
x = 4
Step-by-step explanation:
(x - 3)(x² + 3x + 9) = 37 ← distribute left side
x³ + 3x² + 9x - 3x² - 9x - 27 = 37 , simplify left side by collecting like terms
x³ - 27 = 37 ( add 27 to both sides )
x³ = 64 ( take cube root of both sides )
x = [tex]\sqrt[3]{64}[/tex] = 4
Use cross multiplication to solve this equation. Steps must be shown pls. (Get T alone and on the other side of the equation.)
t/4 = 1/5
Answer:
T = 4/5
Step-by-step explanation:
t/4 = 1/5
x4 x4
t = 4/5
Hope this works.
Answer:
4/5
Step-by-step explanation:
t/4 = 1/5
5t = 4
t = 4/5
yeah-ya.... right?
solve pls brainliest
. A rectangular trunk has a volume of 28,600 cubic inches. The trunk is 50 inches long by 22 inches wide. What is the trunk’s height
Simplify the following surd expressions
a) 9V3 -4V3 + V5 + 2V5
b) 10V2 + 4V7 - 6V2
a.9v3-4v3+v5+2v5
=5v3+v3+2v5
=5v3+3v5
b.10v2+4v2+6v2
=4v2+4v7
answer this asap
1)There are 30 students in a class. 18 are girls. Express the number of girls as a percentage of the
class.
2)What is the probability of choosing the color blue from the colors of the rainbow?
Answer:
1) 18/30×100%=60%
Hope this helps!!!
Answer:
See below
Step-by-step explanation:
Hi there!
Question 1
There are 30 students in total and 18 are girls, making 18/30 of the class girls. To express this as a percent, divide, then multiply by 100:
18/30 = 0.6
0.6 × 100 = 60%
Therefore, 60% of the class is girls.
Question 2
There are 7 colours in the rainbow, making blue 1/7 of the colours of the rainbow.
Therefore, the probability of choosing blue from the colours of the rainbow is 1/7.
I hope this helps!
".
Measure these angles.
a)
b)
A baseball diamond is a square with 90 foot sides. If the catcher is standing on home plate, what is the approximate distance to throw out a player headed to second base?
help!!
============================================================
Explanation:
Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]
It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.
HELP ME PLEASE AAAAAAAAAAA
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.
-2r+11=13 2r=2 r= I need help
Answer:
-2r = 2 - Subtract 11 from both sides
r = -1
is this correct? if not what is the correct answer?
6 soaps comparing to the other 5 = 30 different comparisons:
30 x 2,000 = 60,000
Answer: H. $60,000
giving brainliest to the correct answer
does pineapple belong on pizza
yes or no
if both say yes or no, no ones getting brainliest
yes it does belong on pizza
the value of /14-15/ is
f(x)=x^4−4x^3−22x^2+4x+21
Select each correct answer.
−3
−1
0
1
3
7
Answer:
-1
1
7
-3
Step-by-step explanation:
Pleaseeee Helpppp
Point M is located at 1.2 x 10-6. Plot Point M on the number line below
Which rational expression does not have any excluded values?
x+2/2x^2
2x+4/3x+3
6x-5/x^2-7
x+2/-x^2-5
Answer:
D.
Step-by-step explanation:
An excluded value often comes from a zero in the denominator.
Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.
A.
2x^2 = 0
x = 0
excluded value
B.
3x + 3 = 0
3x = -3
x = -1
excluded value
C.
x² - 7 = 0
x² = 7
x = √7 or x = -√7
excluded values
D.
-x² - 5 = 0
x² = -5
x = √(-5) or x = -√(-5)
There is no real solution for x.
no excluded values
Answer: D
solve pls brainliest
7/40 written as a decimal is 0.175
The answer is 0.175 So easy
13, 22,31,... what is the 31st term?
Answer:
thirty-first ordinal. being or denoting a numerical order in a series.
Step-by-step explanation:
What is the greatest common factor (GCF) of 14 and 21?
Answer:
7
Step-by-step explanation: u get 14 by multiplying 2 and 7 and u get 21 by multiplying 7 times 3
[tex]14 = 7 \times 2 \\\\21 = 3 \times 7\\\\GCF = 7[/tex]
Describe the first step you would take in solving 12 = 7 - 3x + 5x. Explain.
Answer:
the first step would be to combine the x's
Step-by-step explanation:
1.) combine x (12=7+2x)
2.) subtract 7 from both sides of the equation (5=2x)
3.) divide by 2 to allow x to be by its self (5/2=x)
Please help will mark brainliest
Answer:
u cant be marked
Step-by-step explanation:
u cant be marked
What is the point slope and slope intercept of this graph below
Answer:
Line is y = -3x + 3
Slope = -3
y-intercept = 3
Step-by-step explanation:
Slope is the movement up or down, and left or right. Y-intercept is the point in which the line crosses the y-axis. In slope-intercept form (y=mx+b), m represents the slope, while b represents the y-intercept.
So since the line crosses the y-axis at positive 3, that will be the y-intercept. Now if we go from that very same point, and do rise/run, we'd move downwards 3 units and to the right 1 unit, to get our slope of -3/1 (it's written as just -3 though).
So now we plug it in: y = -3x + 3
Hope this helps you :)
6. What is the percent of increase from 10 to
12?
A. 20%
B. 25%
C. 30%
D. 33
33%
Answer:
A. 20%
Step-by-step explanation:
% Increase = 12−10/10x100
= 2/10x100
= 20%
Mark me as brilliant
Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50 +50.85N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (In dollars) saved using this plan is given by the function B=65.95N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.
Answer:
N=0.019666a-0.983284 or
A = 50.85n + 50
Step-by-step explanation:
Let's solve for n.
a = 50 + 50.85n
Step 1: Flip the equation.
50.85n + 50 = a
Step 2: Add -50 to both sides.
50.85n+50+-50=a+-50
50.85n n = a - 50
Step 3: Divide both sides by 50.85.
50.85n
50.85
=
a-50
50.85
n=0.019666a-0.983284
Let's solve for a.
a = 50 + 50.85n
If i can get 6 poland spring water 3-liter for $6. How much would it be if i get 3 poland water?
Explain
Answer:
$3
if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.
PLEASE HELPP!! What is the slope and Y intercept of this equation?
Answer:
The slope is 10
The y - intercept is 20
Step-by-step explanation:
The equations are written as:
y = ?x + ?
The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10
The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept
Lori decied to save up for a trip.She put $1120 of her saving into a bank account. If she earns 2% interest how much will have alotgether after
help pls
Answer:
$1,344 is her total.
Step-by-step explanation:
0.2 x 1120 = 240 + 1120