For the pair of similar triangles, find the value of x.
Answer: The value of x is 184.
Step-by-step explanation:
According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.
Now calculating the value of x for the given pair of similar triangles.
According to the given figure:
24 × (2x - 8) = 45 × (x + 8)
(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)
48x - 192 = 45x + 360
48x - 45x = 360 + 192
3x = 552
x = 184
Thus, the value of x is 184.
Look at the attached screenshot.
Answer:
yes...
Step-by-step explanation:
Got another question for you lovely folk, don’t understand how to do this one either
Answer:
97.12°
Step-by-step explanation:
the value of the highlight angle =
tan~¹ 1/3 + tan~¹ 5/1 =
18.43° + 78.69° = 97.12°
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Answer:
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
can anyone help me please?
Answer:
yes i can help you with all the time
Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
Find a, b and c for the function x^2 + 2x - 6 = 0
Which expression is equivalent to
Answer:
2 * x^10 * y^12
Step-by-step explanation:
when dividing by exponents with the same base, you subtract the exponent.
Please tell me how to slove this?
Answer:
:)
Step-by-step explanation:
ok so first you have to find the area of the white triangles, so the first one is 2 x 4= 8 cm2 and the second one is 3 x 2.5= 7.5 cm2, 8+7.5= 15.5 cm2, so the non-shaded region is 15.5 cm2, ok now find the area of the whole rectangle and subtract 15.5 from it hope this helped :)
Un poste de luz tiene un cable en la punta con el que forma un ángulo de 60°. Indique la longitud del poste sabiendo que el cable mide 7 metros desde la punta del poste hasta el suelo.
Answer:
4.04 metros
Step-by-step explanation:
Resolvemos la pregunta anterior usando la función trigonométrica de
tan θ = Opuesto / Adyacente
θ = 60 °
Frente = 7 metros
Adyacente =? = x
Por eso
bronceado 60 = 7 / x
Multiplicar cruzada
= tan 60 × x = 7
x = 7 / tan 60
x = 4.0414518843 metros
Aproximadamente = 4.04 metros
farmer joe used 2/13 bags of seeds on each acre of land. If there are 6 acre of land, how much seed did he use?
Answer:
12/13 bags
Step-by-step explanation:
2/13 * 6 = 12/13
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ
Answer:
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
sin x = O/H
cos x = A/H
tan x = O/A
where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.
sin x = f/d
cos x = e/d
tan x = f/e
Step-by-step explanation:
The trigonometric ratio's as per given side length of a triangle are as follow,
cosx = f/e , sinx = d/e , and tanx = d/f.
Let us consider triangle name as ABC,
Measure of angle ABC = x degree
Measure of angle BAC = 90 degree
Side length AB = f
Side length AC = d
Side length BC = e
For angle x ,
AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.
cosx = adjacent side / hypotenuse
= f / e
sinx = opposite side / hypotenuse
= d / e
tanx = opposite side / adjacent side
= d / f
Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.
learn more about triangle here
brainly.com/question/29122914
#SPJ2
what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!
What is the length of the diagonal of the square shown below?
5√2
Step-by-step explanation:
By the Pythagorean theorem,
A² + B² = C²
5² + 5² = C²
25 + 25 = C²
C² = 50
C = √50
C = √(2 • 25)
C = √2 x √25
C = √2 • 5
C = 5√2
Answer:
5[tex]\sqrt{2\\}[/tex]
Step-by-step expla
chọn tam giác ==> cạnh huyền là đường chéo của hình vuông ảg
sin(∝)= đối / huyền
⇒huyền= đối /sin(45°)
⇒huyền= 5/ sin(45°)
⇒huyền= 5[tex]\sqrt{2}[/tex]
find the value of x.
Answer:
x = sqrt(33)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 7^2
16 + x^2 = 49
Subtract 16 from each side
x^2 = 49-16
x^2 = 33
Take the square root of each side
sqrt(x^2) = sqrt(33)
x = sqrt(33)
[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]
To find the value of x. Let's use this formula:[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
Imagine that "a" is the "x".[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]
Hence, The value of x is,[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]
_________
#LetsStudy
What do these terms represent? -8,-4, 0, 4, 8, 12
Answer:
They represent positive and negative numbers.
Step-by-step explanation:
90×(2÷12) please help its for maths
Answer:
15
Step-by-step explanation:
You would divide 2 by 12 first and then multiply it by 90.
Answer:
Step-by-step explanation:
90 * (2 ÷ 12)
90 *([tex]\frac{1}{6}[/tex])
90*1/6
90/6
15
therefore 15 is the required answer.
A person weighing 206 lb volunteers for a clinical trial of a new diet pill. If he loses 2.0 lb per month using the diet pill combined with regular exercise, when will he weigh less than 188 lb?
Answer: 9 months
Step-by-step explanation:
Given
Weight of the person is 206 lb
If he looses 2 lb per month, his weight after x months becomes 188 lb
Net Reduction in weight is [tex]206-188=18\ lb[/tex]
for 18 lb , time period is
[tex]\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9\ \text{months}[/tex]
Select the correct answer. 2 Jay stores hay in cubic stacks on his farm. If the length of each stack is 3 yard, what is the volume of hay in each stack? O A. cubic yard O B. cubic yard OC. cubic yard OD 8 cubic yard 27 Reset Next
Cubic stack would mean all the sides are the same length.
The length of the side is given as 3 yards.
Volume = 3^3 = 3 x 3 x 3 = 27
Volume = 27 cubic yards.
pls help i really need this grade
For every person who walked, there were forty-four who drove. If 270 made the trip, how many walked? PLEASE HELP! NO SPAMMING OR I WILL REPORT!
(math)not too hard - pls help
Answer:
x - h(x)
0 - 1
1 - 3
2 - 5
3 - 7
Step-by-step explanation:
Just substitute the x value into the function
The angles of a triangle measure 50°, 62°, and x. Find the value of x.
How many solutions exist for the system of equations graphed below? 3 2 54 -3 -2 -1 1 1
Answer:
Step-by-step explanation:
One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.
(140-x)/(7)+70 = 120. Please answer correctly.
Will
Give BRIANLIST
Write the sentence as an equation use x to represent a number
“Six times the difference of 11 and a number is -72”
Answer:
6 × (11 - x) = -72 => x = 23
or
6 × (x - 11) = -72 => x = -1
Step-by-step explanation:
there are at least two possibilities, as the "difference between two numbers a and b can be excised as either a-b or b-a.
in any case, just following the sentence
Six times = 6 ×
difference of 11 and a number = 11 - x
is -72 = -72
so,
6 × (11 - x) = -72
and that is true for x = 23
but
the other direction is possible too
6 × (x - 11) = -72
and that is true for x = -1
the union of 2 sets is all the elements of both set's, excluding the common elements true or false
Answer:
true
Step-by-step explanation:
AUB=A+B-(A∩B)
What is the constant rate of change shown in the table?
A. 5 mph
B. 1.5 mph
C. 15 mph
D. 1/5
a
0*5 =0
1*5=5
2*5=10
3*5=15
What is the area of the square
One side has 5 feet
A)10 square feet
B) 25 square feet
C) 20 square feet
D) 5 square feet
