Answer:
1) congruent
2) corresponding angles
3) 3x+21 = 6x-60
4) x =9
Step-by-step explanation:
1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.
2) the file below
3) we know they are equal because the congruent correspoding angles.
4) 3x+21 = 6x-60
=> 21 = 9x-60
=> 81 = 9x
=> 9 = x
The length of a rectangular garden is 12 ft longer than the width, w. If the garden has a perimeter of 76 ft. Determine the length and width of the garden.
Step-by-step explanation:
length = l
width = w
perimeter of garden = 76 ft
perimeter = 2l + 2w
2l + 2w = 76 (eqn 1)
l - w = 12 (eqn 2)
(eqn 1) ÷ 2
l + w = 38 (eqn 3)
(eqn 2) + (eqn 3)
2l = 50
2l/2 = 50/2
l = 25
The length of the garden is 25 ft.
Substitute l = 25 into (eqn 3)
l + w = 38
25 + w = 38
w = 38 - 25
w = 13
The width of the garden is 13 ft.
I need help please (100 points)
Answer:
10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20
now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0
geometry multiple choice
(will mark brainliest)
Answer:
The opposite angles of a quadrilateral inscribed in a circle are supplementary.
Step-by-step explanation:
Geometry Fact: the opposite angles in a quadrilateral inscribed in a circle are supplementary (i.e., the sum of the opposite angles is equal to 180˚.).
Hudson is going to invest $320 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Hudson to end up with $540?
Answer:
5.8
Step-by-step explanation:
The interest rate, to the nearest tenth of a percent, will be 0.05828.
How do you determine the amount of compound interest?If the principal amount is P, the interest rate is R percent per unit time, and the compound interest is left for T units of time, the interest amount gained is:
[tex]\rm CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The total is:
[tex]\rm A = CI + PA = P(1 +\dfrac{R}{ 100})T[/tex]
The amount is found as;
[tex]\rm A = P(1+\frac{r}{n})^{nt}\\\\ 540=320 (1+\frac{r}{12} )^{12\times 9}\\\\ (1+\frac{r}{12})^{108}=\frac{540}{320}\\\\ 1+\frac{r}{12}=(\frac{540}{320})^{\frac{14}{108}[/tex]
[tex]\rm 1+ \frac{r}{12}=1.00486\\\\ \frac{r}{12}=0.00486\\\\ r=12 \times 0.0486 \\\\ r=0.05828[/tex]
Hence, the interest rate, to the nearest tenth of a percent, will be 0.05828.
To learn more about compound interest, refer:
https://brainly.com/question/11897800
#SPJ2
How many cards are in a standard deck of cards? What are their colors?
Answer:
A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.
Step-by-step explanation:
Answer:
There are 52 cards which are either red or black
Step-by-step explanation:
Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.
Answer:
4d - c + 3
4(6) - 3 + 3
24 - 3 + 3
24
Step-by-step explanation:
24
Hope this helps :T
In which number does the digit 777 have a value that is 101010 times as great as the digit 777 in the number 0.9750.9750, point, 975?
Answer:
0.73
Step-by-step explanation:I use khan too 0.7 is 10 times as great as 0.07
Help please !! need it asap
Answer:
AB = 6
m∠F = 70°
Step-by-step explanation:
1.) This is isosceles, from the angles you can tell
2.) Angles F and D are equal, this is also a form of isosceles
180-40 = 140
140/2 = 70
Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:
A)
(4, –3)
B)
(–3, –2)
C)
(5, 0)
D)
(0, –5)
9514 1404 393
Answer:
D) (0, -5)
Step-by-step explanation:
A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.
__
If we consider only the case of x=0, then the solution space reduces to ...
-8 < y ≤ 4 . . . . . the constants of the two inequalities
Here, it is easy to see that y=-5 is in the solution space.
(0, -5) is a solution
Write the product in its simplest form 5c7 x 5c8
Answer:
25c²56
Step-by-step explanation:
I BEG FOR MY LIFE EZ PLS
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Answer:
B and D
Step-by-step explanation:
This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!
A headband design calls for 1/5 yard of fabric. If Elizabeth has 3 yards of fabric, how many headbands can she make.
How to show work on this one topic is angles formed by 2 chords and secants
Answer:
Step-by-step explanation:
Please help and I’ll mark brain list!
Answer:
y = 6
Step-by-step explanation:
Answer:
Y = 6Step-by-step explanation:
5y + 1 = 31 -1 -1 [tex]\frac{5y}{5y}[/tex] = [tex]\frac{30}{5y}[/tex] Y = 6What is the solution to the inequality 7x + 2 < 3x + 1?
Ο Α. α
<
1
10
OB.
<
3
4
O C.
3
>
O D. I
>
- 1 금
10
Know
Answer:
x < -1/4
Step-by-step explanation:
7x + 2 < 3x + 1
4x + 2 < 1
4x < -1
x < -1/4
Find the measure of 44.
s
24
158°
ts
64 = [?]
Answer:
∠4 = 22
Step-by-step explanation:
Hello There!
The angles shown are consecutive interior angles
If you didn't know consecutive interior angles are supplementary angles meaning that the sum of the two angles is 180
So we can find the missing angle by subtracting the given angle (158 in this case) from 180
180 - 158 = 22
so we can conclude that ∠4 = 22
180.timr3fzgncvdfccfxdfdxxfhk
180-158=22
the measure is 44
What is 15.74 rounded to the nearest whole number?( no links or files plz will get a brainliest)
Answer:
16
Step-by-step explanation:
Edit: Lol I learned this a while ago but imagine a ladder 5 or more goes up for sure 4 or less let it rest. Meaning anything over 5 goes up to the next digit and anything lower like 4 stays on that number
Answer:
16.
15.74 is closer to 16 than 15
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Dimensions of a building are 728 feet by 800 feet. If 1 inch represents 8 feet, what are the dimensions of the building on the drawing?
Answer:
91in by 100in
Step-by-step explanation:
In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?
Answer:
[tex]y = 213 + 0.05x[/tex]
Step-by-step explanation:
Given
[tex]Initial = 213[/tex]
[tex]Rate = 5\%[/tex]
The equation to o this is:
[tex]y = intial +rate * weeks[/tex]
[tex]y = 213 + 0.05x[/tex]
Given the function h(x) = 2.25x, find h(2)
Answer:
h(2)= 4.5
Step-by-step explanation:
h(x)=2.25x
h(2)=2.25(2)
= 4.5
Answer:
Hi! The answer to your question is 4.5
Step-by-step explanation:
To find h(2) we just have to find x in the equation and replace it with a 2
h(x)=2.25(2)
h(x)=2.25(2)=4.5
※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Sarah to end up with $410?
Answer:
4.2%
Step-by-step explanation:
A researcher calculated sample proportions from two independent random samples. Assuming all conditions for inference are met, which of the following is the best method for the researcher to use to estimate the true difference between the population proportions?
Answer:
A) Construct a two-sample z -interval for the difference between population proportions.
pls help i dont get it much
Answer:
Fraction Decimal Percent
111/250 = 0.444 = 44.4%
5/100 = 0.05 = 5%
2/3 = 0.66 = 666%
complete the inequality statement
4/13 __6/13
Luke's answer makes sense or is nonsense.His model is correct or incorrect. There are [blank] not 3 inches, in a foot.
Ilia brought pizza home for dinner. Ilia ate 1/4 of the pizza. His friend ate 1/3 of the pizza. How much was left for Ilia.
Answer:
5/12 of the pizza was leftgot Lila
Step-by-step explanation:
Well Lila ate 1/4 already and his freind ate 1/3
1/4+1/3
3/12+4/12
7/12
The whole pizza is gonna be 1 since a whole pizza
1-7/12
that would be 5/12
Answer:
5/12
Step-by-step explanation:
1/4 + 1/3 + x = 1
7/12 + x = 1
7/12 - 7/12 + x = 1 - 7/12
x = 5/12
Please help answer !:)
Will give brainlst!!
Have a nice day
Answer:
6) .000000947
7) 244000000
8) .076
ASAP ! The radius of a circle is 12 ft.
8.37 ft?
480
12 ft
28.72 ft
100.48 ft
What is the area of a sector bounded by an 80° arc? (use 3.14 for 1)
16.75 ft
Answer:
Area of sector bounded by angle = 100.37 ft² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 12 feet
Arc angle θ = 80°
Find:
Area of sector bounded by angle
Computation:
Area of sector bounded by angle = [θ/360][πr²]
Area of sector bounded by angle = [80/360][(3.14)(12)²]
Area of sector bounded by angle =[0.22][(3.14)(144)]
Area of sector bounded by angle = [0.22][452.16]
Area of sector bounded by angle = 100.37 ft² (Approx.)
Help me pls I need a good grade
Answer: 226
Step-by-step explanation:
arc ZW is 180 (it is a semi Circle) and arc WX is 46 (the angle opposite the arc)
so arc ZWX is 180+46=226