if triangle ABC = triangle DBC, AB = 10, AC = 7, DC = ?
Answers
Answer:
DC =7
Step-by-step explanation:
if ΔABC ≅ΔDBC then the corresponding sides are
AB = DB = 10
AC = DC = 7
See attachment
Related Questions
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
Needed.
Answers
Answer:
Step-by-step explanation:
the functions f and g are defined as follows
Answers
Answer:
f(- 3) = 27 and g(6) = - 15
Step-by-step explanation:
Substitute x = - 3 into f(x) and x = 6 into g(x) , that is
f(- 3) = - 2(- 3)² - 3(- 3) = - 2(9) + 9 = 18 + 9 = 27
g(6) = - 2(6) - 3 = - 12 - 3 = - 15
I hope I helped, stay safe. Xx
When a boy stands on the bank of a river and looks across to the other bank, the angle of depression is 12°. If he climbs to the top of a 10 ft tree and looks across to other bank, the angle of depression is 15°. What is the distance from the first position of the boy to the other bank of the river? How wide is the river? Give your answers to the nearest foot.
Answers
Please look at the scanned picture.
The blue dot is at what value on the number line?
Answers
Answer:
[tex]8[/tex]
Step-by-step explanation:
Hope it helps you:D
*copied*
Answer:
"8"
4,6,8
Step-by-step explanation:
For a school project, 6 students are working on a skit that has 4 different roles. Each role can be played by anyone, and no student can play more than one role. How many different casts are possible?
Answers
Answer:
15
Step-by-step explanation:
[tex]=\frac{6!}{4!\left(6-4\right)!}[/tex]
Answer:
Maybe you can add roles, like managing, or narrating?
Step-by-step explanation:
The formula for the circumference of a circle is C = 21
r, where r is the radius and C is the circumference. The
equation solved for r is raza
Find the radius of a circle that has a circumference of
16.
r= 4
r= 8
r = 12
r= 16
Answers
Answer:
r=8
Step-by-step explanation:
use a double angle or half angle identity to find the exact value of each expression
Answers
θ is given to be in the fourth quadrant (270° < θ < 360°) for which sin(θ) < 0 and cos(θ) > 0. This means
cos²(θ) + sin²(θ) = 1 ==> sin(θ) = -√[1 - cos²(θ)] = -3/5
Now recall the double angle identity for sine:
sin(2θ) = 2 sin(θ) cos(θ)
==> sin(2θ) = 2 (-3/5) (4/5) = -24/25
You and a friend decide to take a road trip. You drive an average speed of 70 mph and your friend drives an average of 75 mph. You want to drive at least 500 miles per day. You also plan to spend no more than 10 hours driving each day. Which of the following is a system of linear inequalities that represents this situation? Let x = number of hours you drive and let y represent the number of hours your friend will drive.
Answers
Given:
your speed = 70 mph
Your friend's speed = 75 mph
You want to drive at least 500 miles per day.
You also plan to spend no more than 10 hours driving each day.
To find:
The system of linear inequalities that represents this situation.
Solution:
Let x be the number of hours you drive and let y represents the number of hours your friend will drive.
You also plan to spend no more than 10 hours driving each day.
[tex]x+y\leq 10[/tex]
Your speed is 70 mph and your friend's speed is 75 mph. So, the distance covered in x and y hours are 70x miles and 75y miles respectively.
You want to drive at least 500 miles per day. So, the total distance must be greater than or equal to 500.
[tex]70x+75y\geq 500[/tex]
[tex]5(14x+15y)\geq 500[/tex]
Divide both sides by 5.
[tex]14x+15y\geq 100[/tex]
Therefore, the required system of inequalities has two inequalities [tex]x+y\leq 10[/tex] and [tex]14x+15y\geq 100[/tex].
Dan is on his way home in his car. He has driven 10 miles so far, which is one-half of the way home. What is the total length of his drive?
Answers
Answer:
20 miles
Step-by-step explanation:
10miles × 2 = 20miles
20 miles is the total length of his drives in miles.
Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
1/9
9
-9
-1/9
Pls answer
Answers
Answer:
[tex]\boxed{\sf a = 9 }[/tex]
Step-by-step explanation:
Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,
[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]
[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]
Step 1 : Convert the equations in slope intercept form of the line .
[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]
and ,
[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]
Step 2: Find the slope of the lines :-
Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,
[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]
And the slope of the second line is ,
[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]
Step 3: Multiply the slopes :-
[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]
Multiply ,
[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]
Multiply both sides by a ,
[tex]\sf\longrightarrow (-1)a = -9 [/tex]
Divide both sides by -1 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]
Hence the value of a is 9 .
Explain why 51 is not a prime number
Answers
Step-by-step explanation:
51 is not a prime number because it is divisible by 1,3 and 17
and we know prime number are only those number who arenot divisible by any other number except 1
Answer:
57 is divisible by 1,3,19 and 57
Step-by-step explanation:
A prime number is a number that is divisible only by 1 and itself; and 57 is not among the numbers like 2,3,5,7,11 etc
Which of the integers shown is the greatest?
Answers
Answer:
-3
Step-by-step explanation:
because as you vo more to the negative side the less.it gets and more to the positive side it gets moe
Answer the questions
Answers
Answer:
c) x= 15
d) x= 5
Step-by-step explanation:
c)4x + 5+ 7x +10=180
solve it like usually
for d) 3x + 15+12x=90
Answer:
15 and 3
Step-by-step explanation:
the first figure total sum of angles is 180 since it is a straight line
the second figure is a right ane(90) so sum of angles is 90
If p =(3x+1) and q = ( 3x-1),show that : pq+1 =x2
Answers
Answer:
See explanation
Step-by-step explanation:
It should be 9x² not x²
p = (3x + 1) and q = (3x - 1)
pq + 1 = (3x + 1)(3x - 1) + 1
= (9x² - 3x + 3x - 1) + 1
= (9x² - 1) + 1
= 9x² - 1 + 1
= 9x²
Therefore,
pq + 1 = 9x²
Solve for x. = x/2 = -7
Answers
Answer:
x = -14
Step-by-step explanation:
x/2 = -7
~Multiply 2 to both sides
x = -14
Best of Luck!
Fine FG , given that line HF is perpendicular bisector or EG
Answers
Answer:
FG = 7
Step-by-step explanation:
We'll begin by calculating HF. This can be obtained by using the pythagoras theory as illustrated below:
EF = 7
EH = 3
HF =?
EF² = EH² + HF²
7² = 3² + HF²
49 = 9 + HF²
Collect like terms
49 – 9 = HF²
40 = HF²
Take the square root of both side
HF = √40
Finally, we shall determine FG. This can be obtained as follow:
GH = 3
HF = √40
FG =.?
FG² = GH² + HF²
FG² = 3² + (√40)²
FG² = 9 + 40
FG² = 49
Take the square root of both side
FG = √49
FG = 7
What are the coordinates of the midpoint between the points (-4, -9) and (-8, -5)?
Select the best answer from the choices provided.
A.
(-4, -4)
B.
(-6, -7)
C.
(-6, -4)
D.
(-4, -7)
Answers
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
In circle G with m<FJH=31° , Find the angle measure of minor arc FH
Answers
Answer:
62°
Step-by-step explanation:
Inscribed Angle Theorem
Inscribed angles measures are 1/2 of the arc they create.
m∠FJH x 2 = arc FH
Just take the 31° and double it.
what is the solution to this equation?
5x-4+3x=36
A. x=16
B. x=5
C. x=20
D. x=4
Answers
B. x = 5
tip : if in a rush just plug in the number and see if its true
8x - 4 = 36
x = 5
63.89 X n = .6389 Solve for n *
A. 10
B. 100
C. .01
D. .1
Answers
Answer:
c. .01
Step-by-step explanation:
.6389 divided by 63.89
63.89*n=.6389
.6389/63.89=n
0.01=n
Y
8
6+
4+
2+
A++
-8 -6 -4
++
8
N
4
6
-4+
-6+
-8-
What is the equation of the line?
Answers
Answer:
guy this one is very hard oh I don't know it
The dimensions of a screen are 21 ft by 20 ft. Find the length of the diagonal .
Answers
Answer:
29 ft
Step-by-step explanation:
the screens have 90 degree angles so they form right triangles with the diagonal, so use Pythagorean theorem to solve for the diagonal
diagonal² = 21² +20² , square and square root both sides of the equation
diagonal = √441+400, add
diagonal = √841, square root
diagonal = 29ft
i will brainliest
avoid spam
Express each of the following percentages as a fraction and simplify it.
(i) 25% (ii) 40% (iii) 16% (iv) 150%
(v) 120% (vi) 58% (vii) 32% (viii) 175%
Answers
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{25\%=\dfrac{25}{100}=\dfrac{1}{4} }[/tex] [tex]\sf{ 40\%=\dfrac{40}{100}=\dfrac{2}{5} }[/tex] [tex]\sf{16\%=\dfrac{16}{100}=\dfrac{4}{25} }[/tex][tex]\sf{150\%=\dfrac{150}{100}=\dfrac{3}{2} }[/tex][tex]\sf{120\%=\dfrac{120}{100}=\dfrac{6}{5} }[/tex][tex]\sf{58\%=\dfrac{58}{100}=\dfrac{29}{50} }[/tex][tex]\sf{32\%=\dfrac{32}{100}=\dfrac{8}{25} }[/tex][tex]\sf{175\%=\dfrac{175}{100}=\dfrac{7}{4} }[/tex][tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\ [/tex]
how do i find upper and lower quartile
please help will give brainliest
Answers
Answer:
Step-by-step explanation:
Arrange the data set in ascending order. then find the median.
Data in ascending order:
2, 5 , 6 , 7 , 8 , 11 , 15
Median = 7
Lower quartile:
Then again find the median of the numbers from the first to the number before the median. This is the lower quartile.
2 , 5, 6
Median = 5 ----> this is the lower quartile.
Upper quartile:
Then again find the median of the numbers that comes after the median to the end of the data set. This is the upper quartile.
8 , 11 , 15
Median = 11 ------> is the upper quatile
Please help!! Thank you!
Answers
Answer:
[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]
Step-by-step explanation:
This question is asking for the function's end behavior. An even degree power function with a negative leading coefficient forms a parabola concave down. This means, its vertex represents the maximum and the parabola opens downward (towards negative infinity).
Thus,
[tex]\lim_{x\rightarrow \infty}f(x)=-\infty,\\\lim_{x\rightarrow-\infty}f(x)=-\infty[/tex]
This corresponds with the first answer choice listed:
[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]
Car A covers 100 miles in 120 minutes, while car B covers 300 miles in 5 hours. How do car A and car B speeds compare (Hint: 60 minutes = 1 hour)
A. Car A is faster than car B.
B. Car B is faster than car A.
C. Car B is slower than car A.
D. Car A has the same speed as car B.
Answers
Answer:
option D. Car A has the same speed as car B.
Can someone please help, I'll give out 20 points !
Question - Where is the blue point on the number line?
Answers
Answer:
-6
Step-by-step explanation:
The number line is created by skip counting of 2.
So, -2 , then -4 and then -6.
So, blue dotted point is (-6)
Help Please Now!!!
Find The Volume Of This Cylinder
Answers
Answer:
V ≈ 4021 mm³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 8 mm
h = 20 mm
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(8 mm)²(20 mm)Evaluate exponents: V = π(64 mm²)(20 mm)Multiply: V = 1280π mm³Round: V ≈ 4021 mm³Find the roots of the quadratic equation 3x^2 - 6x + 2 = 0 using the quadratic formula.
Answers
Answer:
Here is your answer
Hope it helps....
Expand the following:
a) 2(x+3)
b) 512x-4)
C) 4(2x + 1)
d) 6 x - 4y
Answers
Answer:
A.2x+6
B.60x-20
C.8x+4
D.6x-24y
