Answers
The complementary angles are ∠1 and ∠5. The correct option is D.
What are complementary angles?Complementary angles are two angles whose measures add up to 90 degrees. In other words, if angle A and angle B are complementary, then:
A + B = 90 degrees
A = 90 - B
B = 90 - A
For example, if angle A measures 30 degrees, then angle B would measure 60 degrees to make a complementary pair. Complementary angles are often used in geometry and trigonometry to solve problems involving right triangles and other geometric shapes.
The two angles ∠1 and ∠5 have the sum of 90°. These angles are complementary to each other.
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Related Questions
Wyatt and his little sister are saving up money to buy a joint birthday present for their mother. Wyatt already has $20 saved and plans to save $7 per week from his allowance. His sister has $14 saved so far and will save $9 per week from hers. The two siblings will soon have saved the same amount towards their mother's gift. How much will each one have saved? How long will that take?
Answers
Answer:
The two siblings will have saved the same amount towards their mother's gift after 3 weeks.
Amount saved by Wyatt = [tex]\$41[/tex]
Amount saved by Wyatt's sister = [tex]\$41[/tex]
Step-by-step explanation:
Let [tex]t[/tex] (in weeks) denotes the time period by which the two siblings will have saved the same amount towards their mother's gift.
Wyatt already has $20 saved and plans to save $7 per week from his allowance.
Amount saved by Wyatt = [tex]20+7t[/tex]
Wyatt's sister has $14 saved so far and will save $9 per week from hers.
Amount saved by Wyatt's sister = [tex]14+9t[/tex]
To find the time period by which the two siblings will have saved the same amount towards their mother's gift,
solve the following equation.
[tex]20+7t=14+9t\\20-14=9t-7t\\6=2t\\3=t[/tex]
So, the two siblings will have saved the same amount towards their mother's gift after 3 weeks.
Amount saved by Wyatt = [tex]20+7(3)=20+21=\$41[/tex]
Amount saved by Wyatt's sister = [tex]14+9(3)=14+27=\$41[/tex]
The price of gold is proportional to its
weight. 100 grams of gold costs £2315. Find
the cost of 250 grams of gold.
Answers
Answer:
£5787.50
Step-by-step explanation:
mark brainliest
a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?
Answers
Answer:
$11
Step-by-step explanation:
to find the difference you subtract
56 - 45 = 11
find the value of given expression
[tex]x = 4 \times 2[/tex]
Answers
Answer:
8
Step-by-step explanation:
[tex]x = 4 \times 2 \\ x = 8[/tex]
Answer:
X=4x 2
x=8
I hope this help you
What is the slope in this graph?
Answers
Answer:
[tex] \frac{3}{4} x[/tex]
Step-by-step explanation:
because form one corner of the square to the other it goes to the right 3 and Up by 4 so the slope is 3 / 4x
Somebody help me plzz
Answers
Answer:
60
Step-by-step explanation:
straight line =180
180-120=60
I NEED HELPPPP!!!!!!! PLEASEEEEE!!!
Answers
for number one, the mean would be 45 minutes
for number 9, he wants to use the number of minutes that occurred most often as that is the definition of mode
please mark branliest it’d be appreciated ♡
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answers
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
7 less than twice a number is greater than 19
Answers
Answer:
Step-by-step explanation:
if the number is x
2x - 7 greater than 19
= 2x greater than 26
A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?
a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet
Answers
Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
f (x) =x2 + 10x + 24.
Answers
Answer:
(-5,-1)
explanation
State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomialstate the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial
Answers
Answer:
common factor: 5x
5x (7x - 2)
Step-by-step explanation:
first, simplify the polynomial:
5x² + 30x² - 10x = 35x² - 10x
common factor: 5x
5x (7x - 2)
The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?
Answers
*see attachment for diagram
Answer:
x = 20.5 in.
Step-by-step explanation:
What we are requested to find is the height of the panel/parallelogram = x
Area of each panel = base × height = 287 in.²
Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.
Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3
= (50.5 - 2*4.25) ÷ 3
= 42 ÷ 3
Base length of each panel = 14 in.
✔️Next is to find the height of the panel, x.
area of parallelogram = base × height
Base = 14 in.
height = x
Area = 287 in.²
Plug in the values
287 = 14 × x
287 = 14x
Divide both sides by 14
287/14 = x
20.5 = x
x = 20.5 in.
Help me y'all i really need help
Answers
Answer:
that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D
Step-by-step explanation:
What two numbers have a sum of 13 and a product of -30 ?
Answers
Answer:
Check pdf
Step-by-step explanation:
A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?
Answers
Answer:
1/52 OR 0.01923076923 (unusual)
Step-by-step explanation:
So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.
Hope that helps!
A die is rolled 30 times. How many times can you expect it to land on a number less than 5?
Answers
Answer:
5/6 is your answer
Step-by-step explanation:
no. of favourable observation/ total no of observation
Add (8x - 7) + (6x + 8). simplify your answer.
Answers
Answer:
14x+1
Step-by-step explanation:
you combined like terms
8x and 6x are like terms so 8x+6x=14x
8 and (-7) are like terms so 8+(-7)=1
Answer: 14x+1
Step-by-step explanation:
Devonte opens a savings account by making a deposit of $249.45. Every week, he deposits another $31.75 in the account. Which expression shows the amount of money that will be in the account w weeks after the account is opened? 249.45 w + 31.75 249.45 w minus 31.75 249.45 + 31.75 w 249.45 minus 31.75 w
Answers
Answer:
249.45 + 31.75w
Step-by-step explanation:
Opening deposit = $249.45
Weekly deposit made into account = $31. 75
Amount of money which will be in account w weeks after opening :
Opening deposit + (weekly deposit * number of weeks)
Amount after w weeks :
$249.45 + (31.75 * w)
$249.45 + 31.75w
Answer:
C
Step-by-step explanation:
converting measures 48ft= yd
Answers
Answer:
48 Feet (ft) 16.000 Yards (yd)
1 ft = 0.333333 yd 1 yd = 3.000000 ft
Step-by-step explanation:
solve 4(3r + 4) - 6(r + 1) =22
Answers
Answer:
r = 2
Step-by-step explanation:
4(3r + 4) - 6(r + 1) =22
12r + 16 - 6r - 6 = 22
6r = 12
r = 2
OS HELP math math Algebra
Answers
Answer:
P=1590
Step-by-step explanation:
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = 2x + 4
B. y = -4x - 2
C. y = -4x + 2
D. y = 2x - 4
Answers
Your answer would be D
Solve for the variable in 6/18 = x/36
Answers
Answer:
x=28.67
Step-by-step explanation:
6 x
18 36
18x 516
18 18
x=28.67
Which exponential function matches the table?
Answers
Answer:
B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex]
Step-by-step explanation:
If you substitute 0 and 1 into each given exponential function. The first, second and fourth value with 0 substituted will give 27 as such, so we can eliminate the third exponential function. But, if you substitute 1 into all of the remaining possible exponential functions, the only function that will give you 9, when x = 1 is substituted, is B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex].
I hope this helps you!! ^-^
For what range of checks were checking account a long's bank generate more earnings income then one at fellows bank
Answers
Answer:
Step-by-step explanation:
The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answers
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
300 students attend ridewood junior high school 5% of students bring their lunch to school everyday how many students bring their lunch on Thursday ?
Answers
Answer:
300 x .05= 15
..............
PLEASE HELP DUE SOON!! WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!
Rewrite without absolute value:
y=|x-3|+|x+2|-|x-5|, if -2
Answers
Answer:
y=2, y=12
Step-by-step explanation:
y = |-2-3|+|-2+2|-|-2+5|
y = 5+0-3
y=2
or you can try
y=12
What is the experimental probability of rolling a 1
Answers
Answer:
1/6
Step-by-step explanation: