Answer:
By the Substitution property, the measure of angle ABC is equal to GHI.
Step-by-step explanation:
According to the Question,
Since we have,
Angle ABC and angle DEF are congruent ⇒ ∠ABC = ∠DEF-------(1 ) Similarly,angle GHI and angle DEF are congruent ⇒ ∠GHI = ∠DEF------(2)On substituting the value of from equation (1) to equation (2)
We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI
Thus, By the Substitution property
The measure of angle ABC is equal to angle GHI.
The driving distance between Manchester and London is 195 miles. Farris wants to travel from Manchester to London on coach. The coach will leave Manchester at 3:30pm. Farris assumes the coach will travel at an average speed of 50mph. work out Farris's arrival time in London?
Answer:
7:24 pm
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (195 miles)/(50 miles/hour)
time = 3.9 hours
The trip will take 3.9 hours.
3 hours + 0.9 hours = 3 hours + 0.9 hours * 60 minutes/hour =
= 3 hours + 54 minutes
The trip will take 3 hours and 54 minutes.
3:30 pm + 3:54 = 6:84 pm = 7:24 pm
Answer: 7:24 pm
Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)
Answer:
[tex]3(2x+5)(x-3)[/tex]
Step-by-step explanation:
The given equation is:
[tex]6x^{2}-3x-45[/tex]
It can be solved by using middle term splitting.
So,
[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]
So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]
Evalute f (3) if(x) = -4x+5
Answer: f(3)=-7
Step-by-step explanation:
To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.
f(3)=-4(3)+5 [multiply]
f(3)=-12+5 [add]
f(3)=-7
Now, we know that f(3)=-7.
Find the value of the variable that results in congruent triangles.
A. 80
B. 10
C. 50
D. 30
Answer:
x = 10
Step-by-step explanation:
Mathematically, the sum of the interior angles of a triangle is 180
Thus, we have it that;
55 + 45 + (5x + 30) = 180
100 + 5x + 30 = 180
5x = 180-30-100
5x = 50
x = 50/5
x = 10
Find the inverse mapping of x 2x +1
if f(x)=xsquare find f inverse x
One packet of biscuits requires 2 15/16 and 1 7/8 cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be?
Answer:
Hey Mate! Here's your answer.
Step-by-step explanation:
One packet of biscuits requires 2½ cups of flour = \frac{5}{2}25
One packet of biscuits requires 1 \times \frac{2}{3}1×32
One packet of biscuits requires 1 \times \frac{2}{3}1×32cups of sugar. = \frac{5}{3}35
Total ingradiants for one packet of biscuits =
Total ingradiants for one packet of biscuits =( \frac{5}{2} + \frac{5}{3} ) = \frac{15 + 10}{6} = \frac{25}{6}(25+35)=615+10=625
Then, total quantity of both ingredients used in 10 such packets of biscuits =
Then, total quantity of both ingredients used in 10 such packets of biscuits =10 \times ( \frac{25}{6} ) = 5 \times ( \frac{25}{3} ) = \frac{125}{3} = 41 \times \frac{2}{3}10×(625)=5×(325)=3125=41×32
Hope it helped you!
3. Sarah bought 3 pounds of apples for $6. How much did each pound of apples cost?
Answer:
A
Step-by-step explanation:
6/3 = 2
Answer:
$2 each
Step-by-step explanation:
3 pounds of apples for $6
$6÷3 lbs= $2 each pound
if f(x)= 3^x+10x and g(x)= 2(x) = 2x - 4 find (f+g)(x)
Answer:
(f + g)(x) = 3^x + 12x -4
Step-by-step explanation:
Here, we want to get the value of (f + g)(x)
Mathematically, we have this as;
(f + g)(x) = f(x) + g(x)
= 3^x + 10x + 2x-4
= 3^x + 12x -4
If a 1 = −3 and a n = −2an − 1, what is the fifth term of the sequence?
Answer:
d
Step-by-step explanation:
o
Step-by-step explanation:
There's on;ly one way I know of that this can be done.You must start at a1 and work your way up to a5
a1 = -3n that's given
a2 =
I don’t know how to do this can someone help?
Answer:
Why your question is not visible
Your photo is black screen
Step-by-step explanation:
Please Mark me brainliest
The graph of g(x) = |x - h1 + k is shown on the
coordinate grid. What must be true about the signs of h
and k?
Answer:
Step-by-step explanation:
D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer.
Answer:
D.The sign of h must be negative and the signal of k must be positive EDGE 2021
Select the correct answer. . Which value of x makes this equation true? -12x - 2(x + 9) = 5(x + 4) ОА. 13/19 OB. -1/3 OC. -2 OD. 5
Answer:
B -1/3
Step-by-step explanation:
The value of x that makes this equation true is x = -2
Which value of x makes this equation true?We have the equation:
-12x - 2(x + 9) = 5(x + 4)
To solve it, we need to isolate x on one side of the equation:
-12x - 2x - 18 = 5x + 20
-12x - 2x - 5x = 20 + 18
-19x = 38
x = 38/-19 = -2
The value of x that makes this equation true is x = -2
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People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below. Pink lemonade: 156 males, 72 females Yellow lemonade: 104 males, 48 females The events "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6. P(female | pink lemonade ) = P(pink lemonade) = 0.3. P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6. P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
Answer:
[tex]P(pink) = P(pink |\ female) = 0.6[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}{} & {Male} & {Female} & {Pink} & {156} & {72} \ \\ {Yellow} & {104} & {48} \ \end{array}[/tex]
Required
Why [tex]prefers\ pink\ lemonade[/tex] and [tex]female[/tex] are independent
First, calculate [tex]P(pink |\ female)[/tex]
This is calculated as:
[tex]P(pink |\ female) = \frac{n(pink\ \&\ female)}{n(female)}[/tex]
[tex]P(pink |\ female) = \frac{72}{48+72}[/tex]
[tex]P(pink |\ female) = \frac{72}{120}[/tex]
[tex]P(pink |\ female) = 0.6[/tex]
Next, calculate [tex]P(pink)[/tex]
[tex]P(pink) = \frac{n(pink)}{n(Total)}[/tex]
[tex]P(pink) = \frac{156 + 72}{156 + 72 + 104 + 48}[/tex]
[tex]P(pink) = \frac{228}{380}[/tex]
[tex]P(pink) = 0.6[/tex]
So, we have:
[tex]P(pink) = P(pink |\ female) = 0.6[/tex]
Hence, they are independent
Answer:
P(pink lemonade | female) = P(pink lemonade) = 0.6.
Step-by-step explanation:
A
Which equations are true?
Choose All Answers That Apply (10 Points)
Answer:
B
Step-by-step explanation:
Two negatives is a positive, and you want your outcome to be a positive x, therefore b is the correct answer.
Answer:
second one
A negative multiplied by a negative is a positive.
- (-x) is multiplication.
Find x in the kite below
Answer:
x = 110
Step-by-step explanation:
comment if you want explanation
Answer:
Step-by-step explanation:
Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the equation?
Answer:
D. I or II only
Step-by-step explanation:
By a small online search, I've found that the equation is:
6x + 7 = 3x - 5
And the options are:
I. Combining the 6x and 3x terms
II. Combining the 7 and 5
III. Dividing both sides of the equation by 6
A. I only
B. II only
C. III only
D. I or II only
E. I or II or III
So, let's solve the equation in such a way that we can prevent the use of fractions:
6x + 7 = 3x - 5
We can use I and II, combining one in each side, so we get (so we use I and II at the same time)
6x - 3x = -5 - 7
solving these, we get:
(6 - 3)*x = -12
3*x = -12
and -12 is divisible by 3, so if we divide in both sides by 3, we get:
x = -12/3 = -4
x = -4
So we avoided working with fractions, and we used I and II.
Then the first step could be either I or II (the order does not matter)
Then the correct option is:
D. I or II only
The temperature is -3°C. As the day progresses, the temperature increases by 8°C, then drops by 6°C. Find the final temperature.
We know that the initial temperature is -3 then it rises to 8 and drops by 6 degrees then you just need to subtract six from 8 [tex]\displaystyle\ 8-6=2^\circ \\\\Answer: the\ secondary\ temperature \ will \ be equal \ to \ 2^\circ[/tex]
Help please????????
Answer:
C
Step-by-step explanation:
First isolate x So the equation would look like
x^2=y+11
then square root the whole thing to get
x= plus or minus the square root of y-11
solve the following simultaneous linear equations by the substitution method.
2p + 3q = 10
p - 2q = -2
Answer:
p = 2 and q = 2
Step-by-step explanation:
hope this helps please like and mark as brainliest
is (12, 4), (36, 12), (-6, -2), (21, 7) directly proportional?
Answer:
I think yes
Step-by-step explanation:
12/4=3
36/12=3
-6/-2=3
and so on
Ben uses a compass and a straightedige to bisect angle PQR, as shown below.
B
Wie statement beste wy Ben uses the cate with to draw Som there?
Answer:
The answer is <AQS = BQS when AS=BQ and AQ=BQ
Step-by-step explanation:
pada hari kantin sebanyak 800 naskah kupon telah dijual,harga senaskah kupon masing masing rm 30 dan rm 50 .jumlah wang diperoleh hasil daripada jualan kupon ialah rm30000.berapa naskah kupon rm30 dan rm50 yang telah dijual?
Answer:
Step-by-step explanation:
On the day of the canteen, 800 coupons were sold, the price of each coupon was RM 30 and RM 50 respectively. The amount of money earned from the sale of coupons was RM30000. How many copies of RM30 and RM50 coupons were sold?
Let:
RM 30 = x
RM 50 = y
x + y = 800 - - - (1)
30x + 50y = 30000 - - - (2)
From (1)
x = 800 - y
Put x = 800 - y in (2)
30(800 - y) + 50y = 30000
24000 - 30y + 50y = 30000
24000 + 20y = 30000
20y = 30000 - 24000
20y = 6000
y =
The Morris family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 4 beds, 2 desks, and 1 dresser to select from. How many different furniture sets could they select?
Answer:
8 possibilities.
Step-by-step explanation:
There are many combinations. Instead of drawing out a chart and going through every single possibility, deleting the recurring ones, and recounting again, you need to multiply.
Since there are four beds and a dresser, obviously, there can only be four combinations to choose from. The Morris family can choose bed A with the drawer, bed B with the drawer, bed C with the drawer, or bed D with the drawer. All of these possibilities contain the same drawer, so it's pretty straightforward: only four combinations. This is 4 x 1.
Next, the family needs to choose between the two desks. They can choose bed A with desk A, bed A with desk B, bed B with desk A, bed B with desk B... and so on. Therefore, there will be four combinations of beds with desk A, and four combinations of beds with desk B. 4 + 4 = 8. Or, we could simply multiply the four beds by the two desks: 4 x 2 = 8. Both equations supply the same answer.
All in all, we need to multiply the number of choices together to get the total number of combinations. That's 4 x 2 x 1, which is 8.
hi i need help with this
Evaluate 4(3-1)^2
Hey there!
4(3 - 1)^2
3 - 1 = 2
= 4(2^2)
2^2
= 2 * 2
= 4
4(4)
= 16
Answer: 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
4(3-1)^2= 16
Step-by-step explanation:
4(3-1)^2
=4×(2)^2
=4×4
=16 ........
HOPE THIS HELPS YOU....
Question 4 of 10 What is the equation of the following line? Be sure to scroll down first to see all answer options. (6,2) O A y= 22 B. y=-3x O c. y=6x O D. y = 1 x O E y=3x O F. y = 1 x
The equation of the line will be y = 1/3x. The correct option is F.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
The slope of the line is calculated as,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
The two points are (6,2) and (0,0). Calculate the slope of the line,
[tex]m = \dfrac{0 - 2}{0-6}[/tex]
m = 1 / 3
The equation of the line can be written as,
y = mx +c
y = 1/3x + 0
y = 1/3x
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(-6)^-1 multiply by x = 27^-1. find x
Answer:
-32 shall be multiplied to get the answer.
Step-by-step explanation:
DON'T MIND MY WRITING!!
Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
Answer:
y = (4x - 71)/8
Step-by-step explanation:
2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation
4x - 8 = 63 + 8y
4x - 8 - 63 = 8y
4x - 71 = 8y
y = (4x - 71)/8
Answer:
A
Step-by-step explanation:
Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A larger parallelogram has side lengths 15 millimeters and B. What is the length of side B in the enlarged parallelogram? 15 mm 30 mm 40 mm 50 mm
Answer:
B=30mm
Step-by-step explanation:
According to the Question,
we have, A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.
The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.
Therefore, A/C = D/B
5/10 = 15/B
B=150/5
B=30mm
Someone please help me with this math problem?
Answer:
D
Step-by-step explanation:
5(x-5)=353 + x
the first 5 is all his tests, in the parenthesis x is the average score, and -5 is the 5 points lower mentioned in the problem.
Answer:
B
Step-by-step explanation:
We are given that Markus scored 85, 92, 82, and 94 on his first four tests and x on his fifth.
We know that his score on the fifth test is five points lower than the average of all five tests.
To find the average, we add up all the values and divide by the number of values there are. Therefore, the average of all five tests is:
[tex]\displaystyle \frac{85+92+82+94+x}{5}[/tex]
Simplify:
[tex]\displaystyle =\frac{353+x}{5}[/tex]
His test score x is five points lower than the average. Hence:
[tex]\displaystyle x=\left(\frac{353+x}{5}\right)-5[/tex]
Rewrite. We can add five to both sides:
[tex]\displaystyle x+5=\frac{353+x}{5}[/tex]
And multiply both sides by five. Hence:
[tex]\displaystyle 5(x+5)=353+x[/tex]
Thus, our answer is B.
Notes:
By solving the equation, we see that x = 82. So, Markus scored 82 points on his fifth test.
If that is true, then his average score of all fives tests will be:
[tex]\displaystyle \frac{85+92+82+94+82}{5}=87[/tex]
82 is indeed five points fewer than 87, so our answer is correct and matches the given information.