The sum of five and twice a number is at most 17. Which of the following inequalities can be used to find the number. (Please help it's graded).
Answer:
n ≤ 6
Step-by-step explanation:
5 + 2n ≤ 17
2n ≤ 12
n ≤ 6
Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some information? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
Number of boys number of girls 11:9 there is 124 more boys than girls work out the number of students at the school
Answer:
1240
Step-by-step explanation:
Number of boys to a girl is
x:y= 11:9
9x= 11y
There are 124 more boys in the schooll than girls
x= 124+y
Substitute 124+y for x
9(124+y)= 11y
1116+9y= 11y
1116= 11y-9y
1116= 2y
y= 1116/2
y= 558
Number of girls is 558
The number of boys can be calculated as follows
= 558+124
= 682
Hence the total number of students is
= 682+558
= 1240
The table below gives the dimensions of a bridge
and a scale model of the bridge.
Find the scale factor of the model to the real bridge.
Write your answer as a fraction in simplest form.
Model
Bridge
Width (feet)
5
40
Height (feet)
7
56
Length (feet)
64
Help please and please dont play bc its due in 3 min
Answer:
8
Step-by-step explanation:
40/5 = 8
56/7 = 8
64/8 = 8
Find the height of a trapezoid that has an area of 64 square inches, and bases of 8 and 12 inches.
Answer:
6.4 inches
Step-by-step explanation:
Area= (a+b)/2 x h
64 in^2= (8+12)/2 x h
= 20/2 x h
= 10 x h
64 in^2 / 10 = height of 6.4 inches
besties i need help on this question
A car salesman makes 14.5% commission on his sales. If he sells a car for $45,000, how much will he make in commission?
Answer:
23
Step-by-step explanation:
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale
Answer:
0.25
Step-by-step explanation:
Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.
If you multipy every side of figure A by 0.25 you would get the sides of figure B.
Hope this is helpful:)
I’m not sure about this one
Answer:
It is the 3rd option
Step-by-step explanation:
trigonometry please help! work need to be shown
Answer:
x = 9.83
Step-by-step explanation:
Taking 55 as the reference angle,
hypotenuse (h) = 12
perpendicular (p) = x
Sin 55 = p/h
Sin 55 = x / 12
x = Sin55 x 12
x = 9.83
(6.253•10^-2)(7.112x10^3) in scientific notation
Answer:
4.4471336 * 10^2.
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3)
= 6.253*7.112 * 10^-2*10^3
= 44.471336 * 10^1
= 4.4471336 * 10^2.
Michelle bought 5 packs of crayons for 13.75. What is the cost of a pack of crayons in dollars if all the pack cost the same?
Answer:
2.75 each pack
Step-by-step explanation:
13.75 divided by 5 =2.75
What is the value of k?
Answer:
the Value of (k)=?
k value of 11 ans
please help asap i need to finish i will mark brainlest ily
Answer:
I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what
Answer:
20\40= 0.5 is 1\2
Use the information given to enter an equation in standard form. (−1, 1) and (0, 6) are on the line.
Answer: -5x+y=6
Step-by-step explanation:
Given
Points on line [tex](-1,1)\ \text{and}\ (0,6)[/tex]
The standard form of an equation is [tex]ax+by=c[/tex]
Using the two-point form of a line
[tex]\Rightarrow \dfrac{y-1}{x+1}=\dfrac{6-1}{0+1}\\\Rightarrow \dfrac{y-1}{x+1}=\dfrac{5}{1}\\\Rightarrow y-1=5x+5\\\Rightarrow y-5x=6\\\Rightarrow -5x+y=6[/tex]
IM GIVING 20 POINTS
What is the area of a square with side lengths of 3/5 units?
15/15
9/25
6/10
3/5
Answer:
you get 9/25
Step-by-step explanation:
formula for area of square
=s^2
plug in
3/5^2
calculate
you get 9/25
Hey there!
To find the area of a square, multiply the side length by itself, also known as sqaring the side length.
We must solve 3/5 x 3/5.
3/5 x 3/5 = 0.36
The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.
Your final answer is 0.36 .
Hope this helps!
which equation best matches the graph shown below ?
find the area of the figure
Answer:
the area is 34 in to that round up
Step-by-step explanation:
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
5/8 divided by 2
I need this fast!
Answer:
1 1/4
Step-by-step explanation:
5/8 ÷ 2
Copy dot flip
5/8 * 2/1
Rewriting
5/1 * 2/8
5 * 1/4
5/4
1 1/4
[tex] \large \color{lime}Answer:[/tex]
[tex] \frac{5}{8} \div 2 = \frac{5}{8} \times \frac{1}{2} = \frac{5}{16} [/tex]
[tex] \large \color{gold}Explaination:[/tex]
Change divide into multiplication then find the reciprocal of 2 then change the places of it then multiply to 5/8 and you will get the product.
(b) Write down an equation of a line that is parallel to y =2 – 3x
Answer:
4-6x=y2
Step-by-step explanation:
22. If 1 student is selected at random from the table below, what is the
probability that the student is from a family that has 3 or 4 children?
A) 2/9
B) 2.27
C) 7/27
D) 1/3
Answer:
c. 7/27
Step-by-step explanation:
add 5 +10 + 7 + 2 + 2 + 1 = 27
3 + 4 = 7
7/27
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
ft³
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
A rectangular prism with the width as three and a half feet, the length as two and a half feet and the height as one and a half feet.
what is the reciprocal of 16/3
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
Plz, answer this question plz!
Answer:
third option down I'm 99% sure
Let's play a game.... Find two numbers that multiply to
10 and add to 7.
Answer:
2 and 5
Step-by-step explanation:
five plus two equals 7
Answer:
5 & 2
Step-by-step explanation:
X + y = 7
X × y = 10
Solve with the help of trial & error method.
Factors of 10 - 1, 5, 2, 10
Let's take 5 as X & 2 as y.
X + y = 7 --- 5 + 2 = 7
X × y = 10 --- 5 × 2 = 10
Hence, the two numbers that multiply to 10 and add to 7 are 5 & 2
You started at 440 meters then decreased by 20%. What is your elevation now?
pls answer this asap no wrong answers pls
Answer:
They have the same y-intercept of -6.
