Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answers
well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent. Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x = x + 4, we'd be golden
[tex]2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}[/tex]
Related Questions
Reflect A(-2,4), B(3,-5), C(2, 1) over the x-axis.
Answers
Answer:
When you reflect over the x axis, you change all the y values to their opposites (switch the sign)
Step-by-step explanation:
i.e P (x,y) P’(x,-y)
A(-2,4). A(-2,-4)
B(3,-5). B(3, 5)
C(2,1). C(2,-1)
In a class, there are 87 students
in the class, and 38 are boys. What is
the probability that a girl is selected
randomly to represent the class in a
debate?
Answers
Answer:
49/87 = .56 = 56%
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
Answers
the annual premium for a Whole Life insurance police is $2,881.61. Option A.
How do we calculate the annual premium for a Whole Life insurance police?For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.
The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.
Annual premium = $162,253/ 1000 x 17.76
= $2,881.61
The above exercises is from the question provided in the picture;
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
Permanent Insurance
Age Whole Life 20-Payment Life 20-Year Endowment
M F M F M F
25 $16.38 $14.38 $28.40 $25.04 $37.02 $34.87
26 $16.91 $14.77 29.11 25.96 37.67 35.30
27 $17.27 15.23 29.97 26.83 38.23 35.96
28 17.76 15.66 30.68 27.54 38.96 36.44
a. $2,881.61
c. $6,321.38
b. $4,977.92
d. $6,438.20
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Find the measures of a positive angle and a negative angle that are coterminal with each given angle
0=110
Answers
Answer:
Why was Mrs Hallette unhappy when people asked about her son?
Step-by-step explanation:
Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answers
Answer:
she needs 200 more$
Step-by-step explanation:
What is the least common denominator of the rational expressions below?
12
x2 - 11x +30
43
x² - 6x
A. x(x-5)
B. x(x-5)(x-6)
C. x(x - 5)(x-6)
D. (X-6)
Answers
Answer:
D. (x-6)
Step-by-step explanation: Just did it
please help me with this!!!!!
Answers
Answer:
C. ΔJKL, in which m∠J = 15° and m∠L = 45°
Step-by-step explanation:
To solve, let's find the missing angle of the triangle:
180 - 120 - 15 = 45°
That means a solution should have at least 2 solutions from the solution set (15 , 45, 120)
C, is the correct choice.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
"C"
Step-by-step explanation:
Similar triangles have all the same corresponding angles, and the total must add to 180 degrees. So the original triangle has angle 1 = 15, 2 = 120, so 3 = 180 - (15 + 120) = 45.
Option C has the same angles.
please help giving brainly and points :)
Answers
Answer:
(-7, 8) across the x-axis: (-7, -8)
(-7, 8) across the y-axis: (7, 8)
Step-by-step explanation:
It's a quartile question.
Answers
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answers
Answer:
the male weigh than the female
Step-by-step explanation:
[tex]\frac{19}{6}[/tex]=[tex]3\frac{1}{6}[/tex]
PLEASE HELP ME!
Diagram shows the distance time graph that represent Dendrick's journey Kl to vawang and David s journey from rawang to Kl. Both of them depart from the place at the same time
a) Calculate the length of time in minutes, David stop his car
b) If their journey starts at 9 am, what is the time david and dendrick
c) Calculate the speed in km h¯¹, of Dendrick when he meets David
Answers
Answer:
1) 45 minutes
2) they meet in 20 minutes
3) (12-6)/(20/60)=18kmh
Use any method you like to find the measure of angle A
Answers
cos(A) = (21^2 + 16^2 - 22^2) / (2 x 21 x 16)
= 0.31696...
A = cos^-1(0.31696...) = 71.5 degrees
he perimeter of the figure is given. Find the length of the indicated side.
3x − 3
Perimeter = 14x + 2
The length of the indicated side is .
Answers
Answer:
who's he, is it me, cuz id call that a failed abortion
Answer:
I am also stuck
Step-by-step explanation:
Need help, please
Cyndi works in an office. She thinks that she spends 30 minutes in meeting for every 3 hours that she spends working at her desk. One week, she spends 3 hours and 15 minutes in meetings. Using Cyndi's timings above, work out how many hours she would have spent working at her desk?
Answers
Answer:
19.5 hrs
Step-by-step explanation:
30 minutes meeting for every 3 hours of work
10 minutes meeting for every 1 hour of work
15 minutes meeting of every 1 1/2 hour of work
3 hours meeting for every 18 hours of work
She spent 19 1/2 hours
A 16 ft ladder leans against the side of a house the top of the ladder is 15 Ft off the ground find x the angle of elevation of the ladder round your answer to the nearest tenth of a degree
Answers
Answer:
Step-by-step explanation:
help me please Which of the following graphs shows a negative linear relationship with a
correlation coefficient, r, relatively close to -1?
A
В.
C
D
A. Graph A.
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
B. Graph B
Step-by-step explanation:
The closer the data points are along the line of best fit, the closer the the correlation coefficient is to -1 or 1.
The data points in graph B are closer to each other along the line of best fits and the increase in variable x leads to a decrease in variable y, which signifies negative linear relationship.
Therefore, the correlation coefficient of graph B will most likely be close to -1.
A bank gives a woman personal loan of 120,000. she has to pay back 11,000 every month for a year. find the amount paid back to the bank as interest. pls h help
Answers
Multiply the amount she pays a month by number of months in a year:
11,000 x 12 = 132,000
Subtract the total amount she pays back by the loan amount:
132,000 - 120,000 = 12,000
The interest was $12,000
if f(x)=x2+x and g(x)=x-3, find f(g(7))
Answers
f(g(7)) = 20
Hope it helps you...
GRAM is a parallelogram with diagonals RM and GA. If RP = x+7 , PA = 2x+18 , and GP = 8x , find RM
Answers
Answer:
RM =20
Step-by-step explanation:
Find the diagram of the parallelogram attached
From the diagram, GP = PA
8x = 2x+18
8x - 2x = 18
6x = 18
x = 18/6
x = 3
Since RM = 2RP
RM = 2(x+7)
RM = 2(3+7)
RM = 2(10)
RM =20
Hence the length of RM is 20
Someone tell me the answers for this question please
Answers
Answer:
a=2
b=10.5
c=4
d=17.5
Step-by-step explanation:
so 3.5 miles per hour and the columns are miles and then hours
so an equation can be 3.5 (mi/hr) * t (time) = distance
so for a): 3.5*t=7
t=2
b) 3.5*3=distance
distance is 10.5
c) 3.5*t=14
t=4
d) 3.5*5=d
d= 17.5
A parabola can be represented by the equation x2 = –20y.
What are the coordinates of the focus of the parabola?
(–5,0)
(5,0)
(0,5)
(0,–5)
Answers
Answer:
[tex] {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}[/tex]
The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:
x² = -20y
x² / (-20) = y
x² / (-20) + 0 = y + 0
(x - 0)² = -20(y - 0)
Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.
Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).
Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
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Al realizar el producto: (x – 3) (x + 6) se obtiene:
Seleccione una:
a. x 2 – 3 x – 18
b. x 2 – 18
c. x 2 + 3 x – 18
d. x 2 – 3 x + 18
Answers
[tex]\longrightarrow{\green{c. \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
I need points 3+4%34
Answers
Answer:
I do too :(
Step-by-step explanation:
Answer:
4.36
i dont really but uh yea
Please help.............
Answers
Answer:
...........
2(x + 2) + 2x = 20
Answer:
x(x+2) = 20
Step-by-step explanation:
Perimeter Formulas of rectangle is: Perimeter = 2 × (a + b)
PLEASE HELP ASAP - ILL GIVE BRAINLEST
ITS 2 PAGES BUT 4 QUESTIONS
30 points
Answers
Answer:
Step-by-step explanation:
What’s the surface area and the formula for it?
Answers
Answer:
[tex]1440cm^{2}[/tex]
Step-by-step explanation:
SA=2lw+2lh+2wh - Formula
SA=2(12×20)+2(12×15)+2(20×15)
SA=(2×240)+(2×180)+(2×300)
SA=480+360+600
SA=1440
X - 54 + 32x = 53 find the value of x.
a). 23
b). 3 8/33
c). 25
d). 6 2/17
Answers
Answer:
b). 3 8/33
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x - 54 + 32x = 53
Step 2: Solve for x
Combine like terms: 33x - 54 = 53[Addition Property of Equality] Add 52 on both sides: 33x = 107[Division Property of Equality] Divide 33 on both sides: x = 107/33Simplify: x = 3 8/222. Solve for x and y, Show your work
Answers
Answer:
use similarity to solve this
so the shape of side x is similar to side
x/6=10/8
8x=10 multiply by 6
8x=60
divide 60 by 8 to get 7.5
so x=7=5
using Pythagorean theorem
side RP=RS squared + SP squared
side RS=7=5
7.5squared =56.25
4.0+8.0=12
12squared=144
56.25+144=200.25
square root of 200.25=14.15
14.15=y+10
y=14.15-10
y=4.15
Which of the following is true about a linear function? (4 points) Select one: a. It may curve in some parts and be horizontal in others. b. It must cross the origin. c. It has a constant rate of change. d. It must contain only positive values.
Answers
Option c: It has a constant rate of change.
PLZZZZ I really need help!
Which function rule represents the best line of fit for the data in the plot?
Answers
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function rule that represents the best line of fit for the data in the plot is option C.
A) f(x)= x+8
Since the line has a positive slope this can not be the appropriate option.
B.) f(x) = -2x+14
Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.
D.) f(x) = 10
Since this is a straight horizontal line at y=1. This is not the appropriate option.
Hence, the correct option is C.
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