Answers
Answer:
[tex]x=4\sqrt{2}\\y=7[/tex]
Step-by-step explanation:
In order to solve this problem, the easiest approach is to draw a line connecting the vertex between the side with a measure of (y) and (3) to the side with the length (x). This side should be parallel to the side with a length of (4).
Since the new side constructed (call this side (b)), is parallel to the side with a length of (4) and is intersected by segments that are perpendicular to the side with a length of (4), the side (b) and (4) must have the same measure. Therefore (b = 4).
The triangle formed with sides (x) and (b) is a (45 - 45 - 90) triangle. Meaning that its angles have the following measure, (45 - 45- 90). This means that its sides follow the following ratio:
angle : side opposite
[tex]45:x\\45:x\\90:x\sqrt{2}[/tex]
Apply this logic to the given situation.
[tex]x=b*\sqrt{2}\\x = 4\sqrt{2}[/tex]
The side (b) divides the side (y) into two parts. Call the part that is a side of the triangle ([tex]y_1[/tex]) the side that is a part of the rectangle is called ([tex]y_2[/tex]). As per the logic used to find the lengths of side (b), one can use similar logic to find the length of side ([tex]y_2[/tex]). The sides ([tex]y_2[/tex]) and (3) are parallel and are intersected by the sides with a measure of (4) and (b), therefore ([tex]y_2[/tex]) and (3) are cognrunet. Thus ([tex]y_2[/tex] = 3).
The base angles converse theorem states that when two angles in a triangle are congruent, the triangle is isosceles, and the sides opposite the congruent angles are also congruent. Thus, one can state the following:
[tex]y_1=b\\y_1=4[/tex]
Now add up the measurement of ([tex]y_2[/tex]) and ([tex]y_1[/tex]) to find the measure of (y):
[tex]y_2+y_1=y\\4+3=y\\7=y[/tex]
Related Questions
Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0
Answers
Answer:
a.
[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]
b.
[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]
What is the domain of the given function? {x | x = -6, -1,0,3}, { y | y = -7,-2,1,9}, {x | x = -7, -6, -2, -1, 0, 1, 3 , 9}, { y | y = -7, -6 , -2 , -1 , 0 , 1 , 3 , 9}
Answers
Answer:
domain = {-6,-7,-7,-7}
For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?
Answers
What is the area of Triangle PQR on the grid?
A triangle PQR is shown on a grid. The vertex P is on ordered pair 7 and 6, vertex Q is on ordered pair 1 and 6, and the vertex R is on ordered pair 4 and 2.
5 square units
6 square units
10 square units
12 square units
Answers
Answer: D) 12 square units
Explanation:
The base is QP = 6 units long.
The height is always perpendicular to the base, and the height is 4 units.
area = 0.5*base*height
area = 0.5*6*4
area = 3*4
area = 12 square units
Answer:
12
Step-by-step explanation:
What is the correct numeral for Seventy three lakh forty thousand fifteen ? *
1 point
73,40,015
73,40,105
73,4015
Answers
Answer:
1-73,40,015 your answer
please help! look at picture!
Answers
Answer:
[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Step-by-step explanation:
2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]
1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]
[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.
Hope this helps!
Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?
Answers
Answer:
$1857.60
Step-by-step explanation:
Ceasar's initial deposit will earn $57.60 in interest after one year (annual interest rate of 3.2%). When that is added to his deposit of $1800, Ceasar will have $1857.60 in the bank at the end of one year.
Answer:
Hi jaajajajajaja
Step-by-step explanation:
Hi Hi aaaaaaaaaaaaaaaaa
In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.
Answers
Answer:
d = 4
Step-by-step explanation:
a7 = -9
a19 = 39
We know the formula for an arithmetic sequence is
an = a1+d(n-1)
Using the givens:
a7 = -9 = a1 +d(7-1)
a19 = 39 =a1 +d(19-1)
Subtracting these equations
-9 = a1 +d(6)
39 =a1 +d(18)
------------------------
-48 = 0 -12 d
Divide by -12
4 =d
What is the name of the degree of the following polynomial?
2x3
Answers
Answer:
So, the degree of the polynomial 2x - 3 = 1.
In ΔABC, the measure of ∠C=90°, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of ∠B to the nearest hundredth? *WILL MARK BRAINLIEST*
Answers
Answer:
4.44
Step-by-step explanation:
The tangent of B is the relation of the opposite cathetus to the lying cathetus
tg B= AC/CB= 40/9= 4.44
The value of the tangent of angle B is 4.4.
What is the tangent of an angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.
Given that, a right triangle Δ ABC, the measure of ∠C = 90°, AC = 40, BA = 41, and CB = 9. We need to find the value of the tangent of ∠B,
So, here,
The opposite side = AC and the adjacent side = CB
So, tan B = AC / CB = 40/9 = 4.4
Hence, the value of the tangent of angle B is 4.4.
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E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and came up with two best ones o 4.8% simple interest for 2 years o 4.1 % / year compounded semi- annually for 2 years Compare both the plans and find out which is the best to choose
Answers
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
could someone explain how to figure this out (marking brainliest to the most helpful answer) I will report fakes.
Answers
Remember that in order to find the slope, we use the slope formula.
The slope formula is: rise/run
Triangle A: 3/4
Triangle B: 4/3
Triangle C: 9/16
Triangle D: 8/12
the adjoining circle with O has a radius of 14cm ABCD is a square drawn inside the circle calculate the area of the shaded region plzz any help plzz
Answers
Answer:
bro just make me the branilist
Espanol
Ivanna is driving to Seattle. Let y represent her distance from Seattle (in miles). Let x represent the time she
has been driving in hours). Suppose that x and y are related by the equation y=-55x+325.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase use a positive number. For a decrease, use a negative number
Answers
Answer:
gnkzxgjtsrhajrkzgk(_•{5(6/8&9-9-kakjwnwwh
What are the terms in the expression 13y + 4p + 11?
A.17y + P
B.13y, 4p, 11
C.13, 4, 11
Answers
Answer:
Step-by-step explanation:
Option B is the correct answer
The mason will build a wall that uses 36 bricks in each row. The wall will be 140 rows high. Each brick weighs 4 pounds. What is the total weight of all the bricks?
Answers
Answer:
20,160 pounds
Step-by-step explanation:
bricks in each row * number of rows * pound of each brick
Answer:
20160 lbs
Step-by-step explanation:
To find the amount of bricks, multiply 36 by 140 which equals 5040. Then, multiply 5040 by the weight: 4. 5040×4=20160
find the inequality represented by the graph
would I write it y is more than or equal to -2x-5 ?
Answers
Answer:
y ≥ -2x-5
you use the greater than and equals to sign
8abx−10a2b+12ax2−15a2x plz regroup and factories this expression
Answers
Answer:
2x (4a-5b)2+ 3x (3a-4b)
I hope this answer was helpfull for you
express 5√72 in simplest radical form.
Answers
Answer:
30*sqrt(2)
Step-by-step explanation:
5*sqrt(72)=5*sqrt(36*2)=5*6*sqrt(2)=30*sqrt(2)
Choose a value for n that will make the sum negative.
15 + n
Answers
n > -15
Step-by-step explanation:
15 + n
15 + -16 (at least)
n = -1
Which is the inverses I still don’t get this
Answers
Answer:
C.
[tex]{ \tt{f(x) = \frac{12}{x} - 18}} \: and \: { \tt{g(x) = \frac{12}{x + 18} }}[/tex]
Step-by-step explanation:
[tex]{ \tt{f(x) = \frac{12}{x} - 18}}[/tex]
Let inverse be m:
[tex]{ \tt{m = \frac{12}{x} - 18 }} \\ { \tt{x(m + 18) = 12}} \\ { \tt{x = \frac{12}{m + 18} }} \\ \\ { \boxed{ \sf{f {}^{ - 1} (x) = g(x) = \frac{12}{x + 18} }}}[/tex]
Which of the following is true about these similar triangles?
A. AB/BC = DE/DF
B. AB/BC = DE/EF
C. AB/BC = BC/DF
D/ AB/BC = BC/AB
Answers
Answer:
B
Step-by-step explanation:
You have to match up the corresponding sides in the 2 triangles
The sides you have to find are AB/BC
The side that corresponds to AB in triangle DEF is DE
The side that corresponds to BC is EF
Help please !!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
A function means that each input value (in this case, x) has only one output value (y). The vertical line test states that if a vertical line intersects with the relation more than once, it is not a function. Therefore, as a vertical line at x=0 intersects with the graph twice, the graph fails the vertical line test
Simplify (3 1/2+7)divided by (4 1/3-3)
Answers
Answer:
63/8
Step-by-step explanation:
3 1/2 = 7/2
4 1/3 = 13/3
[tex] \frac{ \frac{7}{2} + 7 }{ \frac{13}{3} - 3} [/tex]
[tex] = \frac{ \frac{21}{7} }{ \frac{4}{3} } [/tex]
[tex] = \frac{63}{8} [/tex]
If patient's current ledger balance is $238.00, the patient's fees for today are $117 and the patient paid $100.00 today, what is the patient's new balance:
Answers
Answer:
$138
but if the 117 was paid it would be $21
Step-by-step explanation:
The patient's new balance is $255
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Patient's current ledger balance = $238.00
The patient's fees for today = $117
The patient paid $100.00 today
Now, balance including todays pay= $238.00+$117
=$355
Patient payed 100 so,
=355-100
=255
Therefore, the answer of this algebraic problem will be $255
More about the Algebra link is given below.
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Please help me determine this guys
Answers
hlp mehhhhhhhhh plsssssssss
Answers
Answer:
graph - A
Step-by-step explanation:
there are 32 students in a class and 20 of them own at least one pet what fraction of the class own pets
Answers
HOPE IT HELPS
PLEASE MARK BRAINLIEST
The fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
To find the fraction of the class that owns pets, we divide the number of students who own pets by the total number of students in the class.
A fraction is a mathematical representation of a part-to-whole relationship. It is expressed as a numerical quantity written in the form of one number (the numerator) divided by another number (the denominator), separated by a horizontal line or slash (/).
The numerator represents the number of parts being considered or counted, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to describe a portion or share of something, as well as to compare quantities or perform mathematical operations.
Number of students who own pets: 20
Total number of students in the class: 32
Therefore, the fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
To know more about fraction , here
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Suppose a study finds that the correlation coefficient relating job satisfaction to salary is r=1. Which of the following are the proper conclusions?
I. High salary causes high job satisfaction.
II. Low salary causes low job satisfaction.
III. There is a very strong association between salary and job satisfaction.
I and II only
I, II and III
III only
I only
Answers
Answer:
its I, II and III.
Step-by-step explanation:
r values are from -1 to 1, if the value is 0 means there's no connection between values of variables, if its lower than 0, if the value of variable goes up the other goes down, if its higher than 0, than if one value of variable increases than the value of other variable increases too. the closer to 1 the stronger the association.
En un cine que hay 550 personas, el 30% va a ver una película de terror, el 25% va a ver una novela, el restante va a ver una pelicula de ciencia ficcion ¿ cuantas personas van a ver cada pelicula?
POR FAVOR AYUDENMEN!!!!
Answers
Answer:
165 ver una pelicula de terror, 137.5 (138) ver una novela, y 247 ver una pelicula de ciencia ficcion.
Step-by-step explanation:
0.3 x 550 = 165
0.25 x 550 = 137.5 --> 138
165 + 138 = 303
550 - 303 = 247
