Answer:
DF ≅ AC
Step-by-step explanation:
To prove that the triangles are congruent by AAS, we need a side from each triangle to be congruent to the other, correspondingly. So, if AC ≅ DF, we could prove the triangle's congruency by AAS. In the answer choices, the only answer that works is DF ≅ AC.
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
3 1/3 x 3 =??
Not quite understanding
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10
18 is 40% of ___
23% of 20 is ____
20 is ___ % of 82
pls help
Answer:
18 is 40% of 45
23% of 20 is 4.6
24.390243902439025
Step-by-step explanation:
Unknown angle problems (with algebra)
Solve for x in the diagram below.
20
3.cº
100°
O
T =
What's the diffrence between an Arithmatic sequence and a Geometric sequence?
Answer:
An arithmetic sequence has a constant difference between each term.
A geometric sequence has a constant ratio.
PLEASE PLEASE PLEASE HELP!!!!!
Answer:
5 hours
Step-by-step explanation:
use the variable "h" for number of hours
10+5h=7h
subtract 5h from both sides
2h=10
divide both sides by 2
h=5
PLLZZZ HELPP I HAVE EXAMM
PLZZZZZZZZZZZ
Yasmine is having a birthday party. Five people are sharing 34's of a pizza. What portion of the whole pizza will each person receive?
Answer:
3/20
Step-by-step explanation:
Given that :
Share for 5 persons = 3/4 of a whole pizza
Each person gets an equal size of the share :
Hence, share per person :
Portion of pizza / number of persons
3/4 ÷ 5
3/4 * 1/5
= (3*1) / (4*5)
= 3/20
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.
Answer:
2.4%
Step-by-step explanation:
The value of R is, 2.4%
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
And, He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Here, We know that;
⇒ Compound interest formula = Capital × (1 + r%) ⁿ
Where, n is time in years.
So, We can formulate;
⇒ £2950 × (1 + 0.019)⁴
⇒ £3180.67
And, For calculate R;
⇒ £3180.67 × (1 + R%)⁵ = £3257
⇒ R = 2.4%
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I need help on my warm up!! pls thx!
Step-by-step explanation:
[tex] \tt{30.16 = 17.56 + 5x} [/tex]
Swap the sides of the equation :
⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]
We want to remove the 17.56 first.
Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :
⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]
Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.
⤑ [tex] \tt{5x = 12.6}[/tex]
Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.
⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]
Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.
[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Which graph represents y = –4x + 4? HURRY PLEASE HELP!!
At Burger Haven, 11 of the last 44 customers wanted cheese on their burgers. Considering this data, how many of the next 256 customers would you expect to want cheese?
Answer:
64
Step-by-step explanation:
11 out of 44 = 25%
11 ÷ 44 = 0.25 = 25%
25% × 256 = 64
question 7 is in the pic
Answer:
B.
Step-by-step explanation:
This is the information the histogram represents.
Hope it helps!
Answer:
B I think?
Step-by-step explanation:
Hope its right
Rebeckah answered 42 of 60 questions on the test. Which method should she use to find the percent of questions answered correctly
Which expression shows the factored form of 16x + 12y - 4 PLZZZZZZZ HELP I WILL LIST YOU BRIANEST
answers:
4(4x +3y)
4(4x +3y – 1)
16(x +4y – 12)
A.14xy
Answer:
It is 4(4x + 3y - 1) I just did this quiz
Step-by-step explanation:
3/5 of the students in a classroom are girls if there are 10 boys in the class about how many total students are there
Answer:
25
Step-by-step explanation:
25 students total.
3/5 = 15 (Girls)
2/5 = 10 (Boys)
Answer:
25 students in total..........
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
plz help me and show your work, will give brainliest to who ever answers first and is right.
Answer:
6
Step-by-step explanation:
2y=12
Divide each term by
2
and simplify.
y
=
6
Answer:
x = -2 and y = 3
Step-by-step explanation:
plug in the x = 3y - 8 into the x for the top equation
so it looks like this...
-3(2y - 8) + 2y = 12
solve
-6y + 24 + 2y = 12
-4y + 24 = 12
-24 -24
-4y = -12
divide bye -4
y = 3
plug in y = 3 on the second equation
x = 2y - 8
x = 2(3) - 8
x = 6 - 8
x = -2
Mrs. Jones attended a Southern Living home party. She purchased a vase which cost $34.99. The shipping charge was $3.00, and 8.25% sales tax was paid on the subtotal which included the shipping charge. How much did she pay for the vase?
Answer:
Step-by-step explanation:
1.0825×(34.99+3) = $41.124175, and the government always rounds up.
$41.13
Write an equation for the line shown in the graph.
A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10
Answer:
D
Step-by-step explanation:
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the equation, the y-intercept is 10. Then the equation is given as,
y = mx + 10
From the graph, the line is passing through (2, 8). Then the slope is given as,
8 = m(2) + 10
8 = 2m + 10
- 2 = 2m
m = - 1
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
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Write an equation, in standard form, using the following given info: M = 10
and it passes through the point (6,2) *
-10x + y = -58
-10x + y = 58. -10x - y = -58
10x + y = -58
Given:
m = 10
The line passes through the point (6,2).
To find:
The equation of line in the standard form.
Solution:
If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (6,2) and m = 10. So, the equation of line is
[tex]y-2=10(x-6)[/tex]
[tex]y-2=10x-60[/tex]
[tex]y-10x=-60+2[/tex]
[tex]-10x+y=-58[/tex]
Therefore, the correct option is A.
Which of the following lists the missing reasons in the respective order?
Alternate Interior Angle Theorem, ASA, CPCTC
Vertical Angle Theorem, ASA, CPCTC
Linear Pair Postulate, SSS, CPCTC
Reflexive Property, CPCTC, AAS
Answer:Vertical Angle Theorem, ASA, CPCTC
Step-by-step explanation: It's definitely a vertical Angle .
True or False: The points (6,13) (21, 33) and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5. PLS HELP ASAP
Answer:
This is true look at picture for clarification
Answer:
True
Step-by-step explanation:
To see if the points all lie on the line y = 4/3x + 5, substitute their x and y values into the equation, solve, and see if the equation is true.
1) First, substitute the x and y values of (6,13) for the x and y in the equation and solve:
[tex]13 = \frac{4}{3} (6) + 5 \\13 = \frac{24}{3} +\frac{15}{3} \\13 = \frac{39}{3}\\13 = 13[/tex]
The result is a true equation. Thus, (6,13) is on the line.
2) Do the same with the point (21,33):
[tex]33 = \frac{4}{3} (21) + 5 \\33 = \frac{84}{3} +\frac{15}{3} \\33 = \frac{99}{3} \\33 = 33[/tex]
The result is a true equation. Thus, (21,33) is on the line.
3) Finally, do the same with (99, 137):
[tex]137 = \frac{4}{3} (99) + 5\\137 = \frac{396}{3}+\frac{15}{3} \\137 = \frac{411}{3} \\137 = 137[/tex]
The result is a true equation. Thus, (99, 137).
All three points are on the line, thus the statement is true.
What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Answer:
14
√
2
=
7
√
2
Step-by-step explanation:
An isosceles right triangle is a right triangle with two legs equal in length and has angles of
45
∘
−
45
∘
−
90
∘
.
By Pythagorean Theorem, we know that,
hypotenuse
c
2
=
a
2
+
a
2
,
⇒
c
=
a
√
2
where
c
is the hypotenuse and
a
is the leg.
So for an isosceles right triangle with side length
a
, the hypotenuse has a length of
a
√
2
.
Similarly, if the hypotenuse of an isosceles right triangle has length of
a
, the legs have a length of
a
√
2
or
a
√
2
2
each.
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is an isosceles right triangle.
That means, the triangle has two equal sides.
Let, base b = height h.
The area of the triangle = 1/2 x base x height.
800 = (1/2)b²
b² = 1600
b = 40 feet.
Now, using the Pythagoras theorem,
Hypotenuse = √(1600 + 1600)
Hypotenuse = √(3200)
Hypotenuse = 40√2 feet.
Therefore, height = 40 feet and hypotenuse = 40√2 feet.
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Function g can be thought of as a translation (shifted) version of f(x)=x^2
What is the equation for g (x).?? PLEASE HELP ASAP
Answer:
(x+5)²
Step-by-step explanation:
To solve this we just need to shift the graph 5 spots to the left
to do this we need to add 5 to the x
(x+5)²
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!
The graph shows the relationship between the radius and volume for many cones whose height is 6 inches. Select ALL true statements about such cones.
Answer:
E. If the radius of the cone is 2 inches, the volume of the cone is 25 cubic inches.
B. The relationship between radius and volume is not linear.
Step-by-step explanation:
The true statement regarding the cones should be
If the radius of the cone is 2 inches, the volume of the cone is about 25 cubic inches.
The relationship between radius and volume is not linear.
What is the volume of cone?
The volume of the cone should be equivalent to one-third of the volume of the cylinder that contains a similar radius of the base and height. Here V means the volume, r means the radius and h means the height.
According to the graph, we can say that in the case when the radius should be 2 inches so the volume should be 25 cubic inches. And, the relation between the radius and the volume should not be linear.
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Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake.
A. x⊇49/8
B. 49/8⊆x
C. 49/12⊆x
D. x⊇49/12
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
I just need help on which option
The answer is option two