The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint: combine the 2 angles and set equal to 90
Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .
The diameter of a circle is 3 1/2m, what is the radius?
Answer:
1,75 m
Step-by-step explanation:
The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m
Answer:
1.75m
Step-by-step explanation:
d=3 ½
r=d÷2
so 3 ½ ÷ 2= 1.75
for the graph of g(x) pictured below, over which of the following intervals is g(x) only decreasing?
Answer:
2. -8 < x < -2
Step-by-step explanation:
The x-values of the line where the line slants downwards before it begins to slant upwards to the right, is the interval at which g(x) is decreasing only.
From the graph, at x = -8, y = -2. When x = -2, y = -5.
Between the intervals of x = -8 and x = -2, g(x) decreased from -2 to -5.
Therefore, the answer is: 2. -8 < x < -2
An object’s volume is 0.12 kL. What is its volume in liters?
Answer:
120L
Step-by-step explanation:
Given quantity;
0.12kL to L
Solution:
Convert the given quantity to Liters;
1000L = 1kL
So.
1kL gives 1000L
0.12kL will be 1000 x 0.12 = 120L
One meter is approximately 3.28 feet. Find the height of each building in feet by multiplying its height in meters by 3.28. Carlton Centre Office Tower is about feet tall. Burj Khalifa is about feet tall. Q1 Tower is about feet tall. The Shard is about feet tall. Willis Tower is about feet tall. Gran Torre is about feet tall.
Complete question :
Continent _________building _height(m)
________Carlton center office tower _ 223m
_________ burj Khalifa ____________828m
_________ QI ________________323
_________ the shard _________310
_________ Willis tower _______442
_________ grand torre ______300
Answer:
Kindly check explanation
Step-by-step explanation:
1 meter is approximately 3.28 feets
Height of the buildings in feets is obtained by multiplying the height in meters by 3.28
Carlton center office tower = (223 * 3.28) = 731.44 feets
Burj Khalifa = (828 * 3.28) = 2715.84 feets
QI = (323 * 3.28) = 1059.44 feets
The Shard = (310 * 3.28) = 1016.8 feets
Willis tower = (442 * 3.28) = 1449.76 feets
Grand Torre = (300 * 3.28) = 984 feets
When you mix two colors of paint in equivalent ratios, the resulting color is always the same.
Use the table below to help you answer the following question.
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?
The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?
Answer:
B. 2/3
Step-by-step explanation:
The equation for area of a triangle is A=1/2bh
so we can plug in what were given
2/5 =1/2(6/5)b now we solve for b
2/5=6/10 b
2/5 divided by 6/10 =b
2/5 x 10/6 =b
4/6=b
2/3=b
What does 7 hundreds×10 equal?
Answer:700x 10= 7,000
Answer: 7000
Step-by-step explanation:
Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)
Answer:
x = -7
Step-by-step explanation:
Given parameters:
Slope of the line = [tex]\frac{4}{3}[/tex]
Coordinates = (5,x) and (2,-3)
Unknown:
X= ?
Solution:
To find slope, use the expression below;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
y₂ = -3 y₁ = x
x₂ = 2 x₁ = 5
[tex]\frac{4}{3}[/tex] = [tex]\frac{-3 - x}{2 - 5}[/tex]
3(-3-x) = 4(-3)
-9 -3x = 12
-3x = 21
x = -7
What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
Answer:
Step-by-step explanation:
If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. You can also graph the two points and use rise over run. [tex]\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1[/tex]
-1 is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, a line that is parallel to the line joining (7,-5) and (-5,7)
Since lines are parallel to each other thus their slope will be the same.
From the general formula of slope:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (7 + 5)/ -5 - 7)
Slope = -1
Therefore, the slope of a line that is parallel to the line joining (7,-5) and (-5,7) is -1.
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ2
what is the sum of the two smallest multiples of 6 that are greater than 103
What is the value of h(3)?
Answer:
1
Step-by-step explanation:
The value of h(3) basically means what y-value does the function h have when x=3 ?
Looking at the graph, when x is 3, the y value is 1.
h(3)=1
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen? The screens have the same width. Screen A is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5 and one-third is greater than 5.3.
Answer:
The answer is "Screen B is wider , because 5.3 is greater than 5 and one-third".
Step-by-step explanation:
The mobile display unit must be made similar. Phone A uses a decimal device, and telephone B uses a fraction in this case.
It's easier for you to use. Attempt using the decimal. The width of the phone B fraction could then be translated to decimal width. The computing is:
= 5 cm + [tex]\frac{1}{3}[/tex] cm
= 5 cm + 0.333cm
= 5.333 cm
It is evident from here that the wider screen of Phone B is than that of Phone A.
Answer:
They are all the same width
Step-by-step explanation:
f(x)=-5/2 x-3
A. Create a linear function g(x) such that f(x) = g(x) has exactly one solution.
g(x) = ?
B. What is the exact solution to f(x) = g(x)?
x = ?
Step by step
The circle shown has a radius of 12 mm. What is the circumference of the circle?
Answer:
75.36
Step-by-step explanation:
First you would use the formula [tex]C=2\pi r[/tex] and the fill in your values, 2·3.14·12 and you will get 75.36.
me pueden ayudar es urgente!!!!
es de monomios
Answer:
Step-by-step explanation:
4.2) 2z² - 3z² = -z²
8x - x = 7x
4.3) 3x² - 4x² = (3 -4)x² = -x²
4z² - 3z² = (4- 3)z² = z²
z² - 2z² = (1 - 2)z² = -z²
3x - x = 2x
Cannot be subtracted.
3y² - 3y² = 0
4.3) 2xy - x y = xy
x²y² - 4x²y² = -3x²y²
x - y = /
2x²y² - 6x²y² = -4x²y²
4xy - 2xy = 2xy
4.4) 5xy - xy = 4xy
x²y² - 3x²y² = -2x²y²
3x³y - 2yx³ = x³y
answer for immediate brainliest!!!
Answer:
pretty sure it's 3 7/8
Please solve x^2 − 3x = −8
Answer:it will equal 0
Step-by-step explanation:
hopes it helpes you
Answer (it has two solutions):
See photo below
I hope this helps!
PLEASE PLEASE HELP I NEED THIS RIGHT NOW
Answer:
should be the last one 0.02
Benjamin is planning to make scale drawings of bat wings. He wants all of his drawings to use the same scale. He says he can use the equation d=1.5w to find the length of a scale drawing, d, based on the length of the bat wing, w. What is fhe scale factor of a bat wing length to scale drawing length? Explain.
Answer:
[tex]1.5[/tex] is the scale factor of a bat wing length to scale drawing length.
Step-by-step explanation:
A scale factor is a number which multiplies (scales) , some quantity. In the equation [tex]y=kx[/tex], [tex]k[/tex] is the scale factor for [tex]x[/tex]. Here, [tex]k[/tex] is called as the constant of proportionality of [tex]y[/tex] to [tex]x[/tex].
Consider the equation [tex]d=1.5w[/tex]
Here, d denotes the length of a scale drawing and w denotes the length of the bat wing.
So,
[tex]1.5[/tex] is the scale factor of a bat wing length to scale drawing length.
A boat costs $15.500 and decreases in value by
10% per year. How much will the beat be worth
after 5 years?
Answer:
$7,750
Step-by-step explanation:
10% of 15,500 is 1,550 and 1,550 x 5 years = 7,750 and 15,500 - 7,750 = 7,750
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
The area of rectangle ABCD with the given vertices is: 8 units².
What is the Area of a Rectangle?Area of rectangle = (length)(width).
Given the following vertices:
A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)Area = (length)(width) = (AB)(BC)
AB = |-2 - 6| = 8 units
BC = |2 - 3} = 1 unit
Area of rectangle = (8)(1) = 8 units².
Learn more about area of rectangle on:
https://brainly.com/question/25292087
#SPJ1
Answer: 8
Step-by-step explanation:
Does this represent a function?
y^2 = 16 – 4x^2
The measures of the angles of a triangle are shown in the figure below. Solve for x.
51
Answer: x=
Submit Answer
attempt 1 out of 2
Answer:
x = 39°
Step-by-step explanation:
The triangle shown is a right angle triangle having angles 90°, 51° and x°.
Sum of interior angles of a triangle = 180°, therefore:
[tex] 90 + 51 + x = 180 [/tex]
Add like terms
[tex] 141 + x = 180 [/tex]
Subtract 141 from each side
[tex] 141 + x - 141 = 180 - 141 [/tex]
[tex] x = 39 [/tex]
x = 39°
Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?
A.
B.
C.
177.5
D.
355
answer is c because if it's not a and b then the only answers will be c and d and d is the same as the number so it's c
Triangle A has side lengths 3,4 and 6. Triangle B had side lengths 6,8 and 12 triangle A and B are?
Answer:
Similar
Step-by-step explanation:
Both triangles have corresponding sides, so they are similar.
The two triangles A and B are similar to each other.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.
The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.
Therefore, the two triangles A and B are similar to each other.
To know more about similarities follow
https://brainly.com/question/24184322
#SPJ2
Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. How far apart are Jim and Jennifer?How far apart are Jim and Jennifer?
Answer:
37ftStep-by-step explanation:
step one;
In this problem, we are expected to solve for the distance between Jenifer and Jim
given that
Jennifer is 29ft above and
Jim is 8ft bellow
step two:
the distance between them can be calculated as
distance= 29+8
distance=37ft
straws are sold in packs and boxes
there are 15 straws in each pack
there are 48 straws in each box
Tricia buts p packs of straws and b boxes of straws
write down an expression in terms of p and b for the total number of straws bought by Tricia
Yea I need help with fractions
Answer:
13/24
Step-by-step explanation:
1/3 + 1/8 = 11/24
1/1 - 11/24 = 13/24
(sorry if wrong)
Help me please ^_^!!!
Answer:
I'd say the answer is A or B
Step-by-step explanation:
Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)