Answers
#3.
Triangle RCH is congruent to Triangle NCH by SAS.
Side 1 - reflexive (CH)
Angle - given
Side 2 - given
#4.
Triangle SOK is congruent to Triangle XAM by ASA.
Angle 1 - angle X is 53 degrees, as is angle S
Side - given
Angle 2 - angle A is 103 degrees, as is angle O
Hope this helps!
Related Questions
Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17
Answers
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula. we get
[tex]\dfrac{9-5}{-5-(-7)}=2[/tex]
[tex]\dfrac{13-9}{-3-(-5)}=2[/tex]
[tex]\dfrac{17-13}{-1-(-3)}=2[/tex]
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=2(x-(-7))[/tex]
[tex]y-5=2(x+7)[/tex]
[tex]y-5=2x+14[/tex]
Adding 5 on both sides, we get
[tex]y-5+5=2x+14+5[/tex]
[tex]y=2x+19[/tex]
Therefore, the equation for the given data is [tex]y=2x+19[/tex].
If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).
Answers
Answer:
5x-6
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 3x - 9
f(x) + g(x) = 2x + 3 + 3x-9
= 5x-6
Mr. James asked his students that which of the following equations can be formed using the expression x = 5:
a)2 x + 3 = 13
b)3x + 2 = 13
c)x –5 =
1d)4x –9 = 21
Answers
Answer:
[tex]2x + 3 = 13 \\ 2 \times 5 + 3 = 15 \\ 10 + 13 = 15 \\ 23 = 15 \\ 23 - 15 = 8 \\ \\ 3x + 2 = 13 \\ 3 \times 5 + 2 = 13 \\ 15 + 2 = 13 \\ 17 - 13 \\ = 4 \\ \\ x - 5 = 0 \\ 5 - 5 = 0 \\ 0 = 0 \\ \\ 4x - 9 = 21 \\ 4 \times 5 - 9 = 21 \\ 20 - 9 = 21 \\ 21 - 11 \\ = 10[/tex]
an object in geometry with no width, lengh or height is a(n):
Answers
Answer:
A point.
Step-by-step explanation:
An object in geometry that has width, length or height is simply a point. A point is yet just a dot.
Question 1 of 10
Classify the following triangle. Check all that apply.
121
11
599
70
10
A. Equilateral
B. Obtuse
C. Isosceles
D. Scalene
E. Acute
OF Right
PREVIOUS
Answers
Answer:
Acute and scalene
Step-by-step explanation:
All the three interior angles of triangle are less than 90 then it is an acute triangle.
All the sides have different length then it is Scalene triangle. In Scalene triangle, all the sides have different length and so all the angles are of different
Explanation:
You have the right idea. The triangle is acute since all three angles are less than 90 degrees. The triangle is also scalene because all three sides are different lengths.
For a triangle to be equilateral, the three sides must be the same length. So we can rule out choice A.
We can rule out choice B since none of the angles are larger than 90 degrees. This contradicts choice E.
We can rule out choice C because we don't have exactly two sides the same length. This contradicts choice D.
We can rule out choice F because we don't have a 90 degree angle. This contradicts choice E.
Finding the missing length in a figure
Answers
Answer:
6 ft
Step-by-step explanation:
Which is the graph of f(x) = -(x + 3)(x + 1)?
Ту
6
4
4
2
2
21
WB
2
4
B
X
6
WA
UB
-6
2
B
X
2.
-2
2
6+
2
4 6
Answers
Answer:
See attachment
Step-by-step explanation:
A function is given to us and we need to tell which graph represents the given function. The function given to us is,
[tex]\tt: \implies f(x) = -( x + 3 )( x + 1 ) [/tex]
Let's find out at which points do the graph Intersects x axis / finding the roots. For that substitute f(x) = 0 , we have ,
[tex]\tt: \implies -(x +3)( x + 1 ) = 0 [/tex]
Equate each factor by 0 ,
[tex]\tt: \implies \boxed{\blue{ \tt x = -1,-3 }} [/tex]
Therefore the graph will intersect x axis at x is equal to -1 and x is equal to -3 .
On looking at the given graphs in the options the second graph intersects x axis at -1 and -3 .
Hence the second option is correct .
{ See attachment }
The graph of the function is graph (b)
The function is given as:
f(x) = -(x + 3)(x + 1)
The above equation means that:
The function is a quadratic functionThe function is reflected across the x-axisThe function has its zeros at x = -3 and x = 1Hence, the graph of the function is graph (b)
Read more about quadratic functions at:
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If ABCD is dilated by a factor of 2, the
coordinate of A' would be:
Answers
Answer: -5, -1
Step-by-step explanation:
How much of salt would you get if you evaporate all water from:
80g of a 35% salt solution
Answers
Answer:
28g.
Step-by-step explanation:
35% of 80g
= 0.35*80
= 28.
The 80g solution contains 28g of salt and 52g of water.
To calculate the amount of salt you would get by evaporating all the water from a 35% salt solution weighing 80g.
To find out how much salt is in the 80g of the 35% salt solution, we'll first need to determine the amount of salt and water present in the solution.
Let's assume:
- Mass of salt (NaCl) in the solution = m salt
- Mass of water (H₂O) in the solution = m water
The concentration of the salt solution is given as 35%, which means 35g of salt is present in every 100g of the solution.
1. First, we'll find the mass of salt (m salt) in the 80g solution:
m salt = 35% of 80g
m salt = 0.35 * 80g
m salt = 28g
2. Next, we'll find the mass of water (m water) in the 80g solution:
m water = Total mass of the solution - Mass of salt
m water = 80g - 28g
m water = 52g
Now, if we evaporate all the water from the solution, the salt will be left behind. So, the mass of the salt remaining after evaporation will be 28g (m salt).
Therefore, by evaporating all the water from the 80g of the 35% salt solution, you will get 28g of salt.
To summarize, we found that the 80g solution contains 28g of salt and 52g of water. By evaporating all the water, we are left with 28g of salt, as per our calculations.
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help me pleaseeeeeeeeeee
Answers
Answer:
top left questions answer is B
the area of the triangle is A
Volume of the cylinder is B
The area of the triangle for q 17 is A
Answer:
1. b
2.a
17.c
Step-by-step explanation:
You have 80$ panted cost 29$ And shirts cost 12$. Mom told you to buy one pair of pants and use the rest of the money to buy shirts. Use this information to write and solve and inequality how many shirts can you buy
Answers
Answer: 4 Shirts
Step-by-step explanation:
Given
Person has [tex]\$80[/tex]
Pant costs [tex]\$29[/tex] and shirt costs [tex]\$12[/tex]
Suppose [tex]x\ \text{and}\ y[/tex] as number of pant and shirts
Spent money must be equal or less than the total money. The inequality becomes
[tex]\Rightarrow 80\geq29x+12y[/tex]
For 1 pair of pants that is, 1 pants
[tex]\Rightarrow 80\geq 29+12y\\\Rightarrow 51\geq 12y\\\Rightarrow 4.25\geq y[/tex]
That is maximum number of shirts that can be bought are 4.
In a restaurant you are making a mix for a large batch of marinade that will go on some beef. The recipe calls for 12 gallons of water but you lost the gallon container and all you have left to measure is a bottle that is a quart. How many quarts would it take to make 12 gallons?
Answers
Given that
4
x
:
3
=
6
:
5
Calculate the value of
x
Answers
Answer:
Step-by-step explanation:
4x = 6/5 * 3
4x = 18/5
x = 18/5*4 = 9 / 10 = 0.9 Ans.
Answer:
0.9 I hope it help you to do this question
Brianna spent a total of $52 on 4 used video games. What was the average cost of a game?
$13 per game
$18 per game
$48 per game
$56 per game
Answers
Explanation: In this question, we are essentially asked to find the unit price. This means that we will need to find the price of one video game. We are given the price for four. To find the price for one video game, we are to divide each term by four. Let’s write an equation and solve, using all the information we already know.
Let’s write an equation to show that 54 is equal to four times the price of one video game.
54= 4x
Let’s get x alone by dividing each term by four, as previously instructed.
54= 4x
13= x
This is why $13 is the price for one game. Hope this helps! Comment below for more questions.
In Owen's class, there are 15 girls and 12 boys. Write the ratio of boys to girls.
Answers
Answer:
4 : 5
Step-by-step explanation:
boys : girls
12 15
Divide each by 3
12/3 : 15/3
4 : 5
Answer: 4:5
Step-by-step explanation:
To simplify the ratio 12:15, divide both numbers by the GCF of the 2 numbers (3). This gives you the simplified ratio, 4:5.
Which shows one way
to determine the factors of x3 - 12x2 - 2x + 24 by grouping?
Answers
Answer:
[tex]x^3 - 12x^2 - 2x + 24[/tex]
[tex]x^2(x - 12) - 2(x -12)[/tex]
[tex](x - 12)(x^2 -2)[/tex]
Step-by-step explanation:
Answer:
[tex](x^2-2)(x-12)=0[/tex]
Step-by-step explanation:
Factoring by grouping is a way of determining the factors of a polynomial equation. One firsts groups terms by putting them in parenthesis. Then one will take a common factor out of the parenthesis. Finally, one will group the coefficients and the grouped terms respectively, thus rewriting the polynomial equation as the product of its factors.
One is given the following equation:
[tex]x^3-12x^2-2x+24=0[/tex]
Group the different terms in the equation:
[tex](x^3-12x^2)+(-2x+24)=0[/tex]
Factor, write a common factor that both terms in the parenthesis share, outside of the parenthesis.
[tex]x^2(x-12)-2(x-12)=0[/tex]
Factor the equation again. Group the like terms together, and the coefficients together.
[tex](x^2-2)(x-12)=0[/tex]
Given: `bar(DE)` and `bar(DF)` are midsegments of `Delta` ABC as shown. Prove: A midsegment of `Delta`ABC is half the length of the side of `Delta`ABC to which it is parallel. Match each statement to its corresponding reason. Scroll down to see all the choices. Drag the items on the left to the correct location on the right.
Answers
Answer:
here
Step-by-step explanation:
Someone, PLEASE HELP! ):
Answers
Answer:
i dont see anything
Step-by-step explanation:
Use trigonometric identities to solve each equation within the given domain.
3 tan(x) = 2 sin(2x) from [0, 2π) PLEASE SHOW WORK!!!
Answers
Recall that the tangent function is defined by
tan(x) = sin(x)/cos(x)
Also recall the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x)
Then the equation is the same as
3 sin(x)/cos(x) = 4 sin(x) cos(x)
Move everything to one side to prepare to factorize:
3 sin(x)/cos(x) - 4 sin(x) cos(x) = 0
sin(x)/cos(x) (3 - 4 cos²(x)) = 0
As long as cos(x) ≠ 0, we can omit the term in the denominator, so we're left with
sin(x) (3 - 4 cos²(x)) = 0
and so
sin(x) = 0 or 3 - 4 cos²(x) = 0
sin(x) = 0 or cos²(x) = 3/4
sin(x) = 0 or cos(x) = ±√3/2
On the interval [0, 2π),
• sin(x) = 0 for x = 0 and x = π
• cos(x) = √3/2 for x = π/6 and x = 11π/6
• cos(x) = -√3/2 for x = 5π/6 and x = 7π/6
(None of these x make cos(x) = 0, so we don't have to omit any extraneous solutions.)
→WILL GIVE BRAINLIEST←
In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Complete parts (a) through (c) below.
a. How many of the 3149 subjects used at least one prescription medication?
(Round to the nearest integer as needed.)
b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.
(Round to one decimal place as needed.)
Answers
Answer:
a. 2,727
b. (85.6%, 87.6%)
Step-by-step explanation:
The percentage of the adults aged 57 through 85 that used at least one prescription medication = 86.6%
a. The expected number of the 3,149 subjects aged 57 through 85 that used at least one prescription medication = 3,149 × 86.6/100 = 2,727.034 ≈ 2,727 (subjects)
b. The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]
Where;
[tex]\hat p[/tex] = 86.6/100= 0.866
n = 3,149
z = The z-value at 90% confidence level = 1.645
Therefore, we get the following confidence interval of the percentage of adults (rounded to one decimal place as required);
[tex]\left (0.866 - 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}}\right) \times 100 \% \approx 85.6 \%[/tex]
[tex]\left( 0.866 + 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}} \right) \times 100 \% \approx 87.6 \%[/tex]
The 90% confidence interval, of the percentage C.I. ≈ (85.6%, 87.6%).
Need help with adding these!! *prob easy I’m just not good* see photo!
Answers
Answer:
2x+8w
I hope this will help you
The length of xy (the minor arc) is 15 cm. What is the circumference of OZ?
O A. 94.2 cm
O B. 426 cm
O C. 180 cm
O D. 540 cm
O E. 360 cm
O F. 450 cm
Answers
Answer:450
Step-by-step explanation:
The correct answer is option (F) 450 cm
The formula to find the arc length of the circle:
For a circle with radius 'r' and the central angle 'θ' (in radians), an arc length 's' is,
s = r × θ
The formula of the circumference of the circle:C = 2 × π × r
We have been given that the length of xy (the minor arc) is 15 cm and angle = 12°.
⇒ θ = 0.209 radians
Let r be the radius of the circle.
xy = 15
⇒ r × θ = 15
⇒ r × 0.209 = 15
⇒ r = 71.77 cm
The circumference of the circle is,
C = 2 × π × r
⇒ C = 2 × π × 71.77
⇒ C = 450.95
⇒ C ≈ 450 cm
Therefore, the circumference of the circle is option (F) 450 cm
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45 – [43 - {9 – 4 (3 – 8 ÷ 2 + 6)}]
Answers
34-4b
Or
To factor the expression:
2(17-2b)
HELP ME ASAP PLEASEEEEEEEE
Answers
Answer:
5 : -1.5
10: -4
y = 1 -.5x
noticed the pattern of subtracting .5 .... then plugged in x = 4
and saw that -2 had to be combined with "1" to end up with a "-1"
Step-by-step explanation:
help me with finding distance pls
Answers
Answer:
5.7
Step-by-step explanation:
First find the coordinates of the points
A ( 2,2)
B ( -2,-2)
The distance is
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (-2-2)^2 + (-2-2)^2 )
= sqrt( (-4)^2 + (-4) ^2)
= sqrt( 16+16)
= sqrt( 32)
=5.656854249
To the nearest tenth
5.7
Answer:
5.65
Step-by-step explanation:
(2,2) (-2,-2)
√(x2 - x1)² + (y2 - y1)²
√(-2 - 2)² + (-2 - 2)²
√(-4)² + (-4)²
√(16) + (16)
√32
= 5.65
Ryan rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 74 cents for each mile driven. Ryan had to pay $133.17 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
157 miles
Step-by-step explanation:
total cost = flat fee + cost per mile * miles
133.17 = 16.99 + .74 * m
Subtract 16.99 from each side
116.18 = .74m
Divide each side by .74
116.18 / .74 = .74m/.74
157 = m
Which of the following steps is involved in solving 3 x plus 8 equals 14 ?
A. 3 x plus 8 minus 8 equals 14
B. 3 x plus 8 equals 14 minus 8
C. 3 x plus 8 plus 8 equals 14 plus 8
D. 3 x plus 8 minus 8 equals 14 minus 8
Answers
Answer:
3 x plus 8 minus 8 equals 14 minus 8
Step-by-step explanation:
3x+8 = 14
Step 1 subtract 8 from each side
3x+8-8 = 14-8
The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve f divided by g of 3, and interpret the answer.
Answers
Correct question is;
The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve (f/g)(3), and interpret the answer.
Answer:
26 is the cheetahs rate in miles per hour.
Step-by-step explanation:
We are given;
f(x) = 6x + 8
g(x) = x − 2
Thus;
f/g = f(x)/g(x)
> (6x + 8)/(x − 2)
Since we are looking for (f/g)(3), then we have;
> (6(3) + 8)/((3) − 2) = 26
Since f(x) is distance and g(x) is time, then, we know that distance/time = speed. Thus, the interpretation is 26 mph which is the speed of the cheetah.
Answer:
26; the cheetah's rate in miles per hour
Step-by-step explanation:
I just took the test
I NEEDDDD D HELPPPPP!!!
Answers
Answer:
70 degrees
Step-by-step explanation:
there are multiple ways, as all the trigonometric functions are related.
let's try it this way :
consider the missing side to be the radius of a circle.
then 41 would be the cos value of the angle (multiplied by that radius, of course).
so, let's calculate the missing side per Pythagoras
c² = a² + b² = 113² + 41² = 12769 + 1681 = 14450
c = 120.21
and now
41 = cos(?) × 120.21
cos(?) = 41/120.21 = 0.341...
? = 70.0576... ≈ 70 degrees
Answer:
70°
Step-by-step explanation:
tangent θ = (opposite side / adjacent side)
tangent θ = (113 / 41)
θ = arctan (113 / 41)
θ = 70.0576°
*Note: "arctan" is the same as "inverse tangent"
**Note: "soh-cah-toa" (and "cho-sha-cao" for sec, csc, & cot) is an easy mnemonic device to remember the trig functions (sin, cos, & tan) and their relations to the sides of a given angle.
Find the value of x given in the right triangle
Answers
Answer:
44.4
Step-by-step explanation:
Using SOH
sin(x)=7/10
x= 44.427
Answer:
x ≈ 44.4°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{10}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{7}{10}[/tex] ) ≈ 44.4° ( to the nearest tenth )
