If two triangles are similar, that means their side lengths are proportional, so we get the equation
[tex]\frac{AB}{AC} =\frac{FG}{FH} \\\frac{x}{17} =\frac{16}{20} \\20x = 16 * 17\\x=13.6[/tex]
Thus x = 13.6.
Hope that helped!
What is the value of x if x * x + 2x - 35 = 0?
Answer:
x = 5, -7
Step-by-step explanation:
[tex]x^2+2x-35=0[/tex]
[tex]\mathrm{Solve\;with\;quadratic\;formula}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-35\right)}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \:12}{2\cdot \:1}[/tex]
[tex]\mathrm{Separate\:the\:solutions}[/tex]
[tex]x_1=\frac{-2+12}{2\cdot \:1},\:x_2=\frac{-2-12}{2\cdot \:1}[/tex]
[tex]x=\frac{-2+12}{2\cdot \:1}:5[/tex]
[tex]x=\frac{-2-12}{2\cdot1}:-7[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=5[/tex] and [tex]x=-7[/tex]
~Learn with Lenvy~
(04.01)
Which of the following best defines
? (1 point)
Square root of 16
O Cube root of 4
O Square root of 4
O Cube root of 16
Help PLEASEEEEEE
Answer:
Aware root of 16 is square root of 4
Step-by-step explanation:
4×4= 16
Hope this helps!!!
Which relation is a function?
Answer:
it is c
Step-by-step explanation:
i need to know the answers to these 2 questions ASAP. will name brainliest
What is the slope of the line that passes through the points (-9, -7) and (-11, -6) Write your answer in simplest form.
Answer:
y = -0.5x – 11.5
so the slop is -1/2
this means it goes down by 1/2 every time
-0.5
Hope This Helps!!!
How can tangent be seen geometrically in the unit circle?
Answer:
The coordinates of the points on the unit circle help us to find the tangent of each angle. As you can see with this equation, the tangent of an angle is equal to the y-coordinate divided by the x-coordinate. For each angle, start by dividing each y-coordinate by the x-coordinate to get the tangent of that angle.
i hoped this helped a little :D
does the flag have rotational symmetry?
Answer:
The triskelion appearing on the Isle of Man flag has rotational symmetry because it appears the same when rotated by one third of a full turn about its center. Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold.
the answer is first one
y varies directly as x. If x = 5 when y = 12, find x when y = 30.
Answer:75/6
Step-by-step explanation: Y is proportional to x so 12 is proportional to 5 so if y=30 then it will be 30*5/12=150/12=75/6
sammy begins her babysitting job with$30 in her bank account and earns $50 per week
Answer:
$30+$50x
Step-by-step explanation:
$30 that she has plus $50 plus x week(s)
A car traveled 261 miles on 9 gallons of gas. The same car also traveled 145 miles on 5 gallons of gas. If the ordered pairs for this relationship are (gallons,
distance), what is the slope of the line through these two ordered pairs?
Answer:
slope = 29
Step-by-step explanation:
Given that
the ordered pairs for this relationship are (gallons, distance)
it means on coordinate plane
x represents gallons
y represents distance
thus,
two point on plane will be
A car traveled 261 miles on 9 gallons of gas
miles = 261 ---let it be represented by x1
gallons = 9---let it be represented by y1
(x1,y1) = (9,261)
miles = 145 ---let it be represented by x2
gallons = 5---let it be represented by y2
(x2,y2) = (5,145)
slope of two points (x1,y1) and (x2,y2) is given by
slope = m = (y2-y1)/(x2-x1)
thus, slope of the above ordered pair
m = (145-261)/(5-9) = -116/-4 = 29
Thus, slope of the line through these two ordered pairs is 29.
If you place a 33-foot ladder against the top of a building and the bottom of the ladder is 26 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
20.3 ft
Step-by-step explanation:
You want to know the height of a building if a 33 ft ladder reaches from the top of the building to a point 26 ft from the bottom of the building.
Right triangleThe geometry can be modeled by a right triangle with hypotenuse 33 ft and one leg of 26 ft. The other leg length (the building height) is found using the Pythagorean theorem.
26² + h² = 33²
h = √(33² -26²) ≈ 20.3 . . . . ft
The building is about 20.3 feet high.
__
Additional comment
This ladder makes an angle of about 38° with the ground. For ladder safety, an angle around 70° is usually recommended.
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Why are most personal loans much smaller than mortgages and home equity loans?.
Answer:
Most personal loans are smaller than mortgages and equity loans because the percentage of the interest rate on a home is higher than that of a personal loan.
Step-by-step explanation:
Anyone know how to do this IXL
Answer:
Yes, y=1
Step-by-step explanation:
So, QT and ST are congruent (equal to each other)
So, we just set the values equal to each other too
9y=y+8
subtract y from both sides, and you get:
8y=8
divide both sides by 8 and you get:
y=8
Hello could someone help me? Giving brainliest!!!
Answer:
AB ~= AB by Reflexive Property
Step-by-step explanation:
see attached
Which is an example of adjacent angles?
Answer:
the correct answer is B. 2 & 4
Answer:
2 and 4
Step-by-step explanation:
This is because adjacent angles are next to each other.
11x11x11x11x11=
Enter the expression using exponents
Answer:
11^5
Step-by-step explanation:
you count how many 11's there are
Which graph shows the correct graph of y=1/3x+2
This problem can be done by process of elimination.
Notice that in our equation, our slope is positive.
In all these graphs, we have a negative slope.
Slope just describes how steep a line is.
The only graph that has a positive or upward slope is D.
So this is our answer.
Answer:
D
Step-by-step explanation:
The y-intercept (the value of y when x =0) of this graph is y = 1/3(0) +2. So, (0, 2) should be the y-intercept. By looking at the graph of D you can tell that at point x = 0, y = 2. Also, the equation is written in the slope-intercept form (y =mx + b) The slope of this line is 1/3. If you choose any two points from the line and calculate the rise/ run by using the slope formula or by directly counting the units, you will find that it is indeed 1/3.
Can some one explain me
Answer:
the equation formula is y=mx+c
Step-by-step explanation:
the slope also represent a gradient
while the y intercept form equation is
x, o
o, y
There are 630 students in Ben’s school. On a normal day, 30 % of the students ride bicycles to school. How many students ride bicycles to school on a normal day?
Which of the following is a geometric sequence? 0, 2, 6, 12, 72, . . . 4, 9, 14, 19, 24, . . . 1, 3, 9, 27, 81, . . .
Answer:4, 9, 14, 19, 24, . ... 1, 3, 9, 27, 81, is a geometric sequence. ... 0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.
Step-by-step explanation:
thats all
Answer: D.
1, 3, 9, 27, 81, . . .
CAN SOMEONE HELP ME What is the factored form of x2 – x – 2?
(x-2)(x+1) is the answer to your question
7 people in a town have caught an infectious virus. The number of people that are infected
increases by 15% daily. How many days until 1000 people are infected? Round to the
nearest whole day and type your answer into the box.
many days until 1000 people are infected is 105
Which equation could be solved using this application of the quadratic formula? PLS HELP
Answer:
d) [tex]2x^2+12x+4=13[/tex]
Step-by-step explanation:
Quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
The quadratic formula can be used to solve a quadratic equation in the form [tex]ax^2+bx+c=0[/tex]
From inspection of the given quadratic formula:
a = 2b = 12c = -9Therefore, plugging these values into the general form of the quadratic equation:
[tex]2x^2+12x-9=0[/tex]
If we add 13 to both sides we get:
[tex]2x^2+12x+4=13[/tex]
Answer: D
Step-by-step explanation:
The quadratic formula helps you find the roots of a quadratic function, specifically where the function equals zero. In order for an equation to match the use of the quadratic formula shown, the value of 'b' must be +12. It also demands that 'a' must be +2, and 'c' must be -9. Answer D has all these prerequisites.
The image is not drawn to scale.
Which is the measure of ∠A?
Answer:
Step-by-step explanation:
A:If the greatest unit cubes in a solid is 8. B:The least number of unit cubes is 1. What would the front view of both solids in parts A and b
Answer:
this question is confusing
Find the measure of the missing angles
Answer:
Your answers are:
B: 147 degrees
C: 33 degrees
Step-by-step explanation:
a straight line is 180 degrees.
And b is 147 degrees, so 180 - 147 is 33 degrees.
Which choice shows a reflection across the x-axis?
A) A
B) B
C) C
D) D
Graph (D) indicates a reflection across the x-axis.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
As we know that reflection across the x-axis is defined as reflecting a point across the y = x, the x-coordinate, and y-coordinate places, and the line y = -x is the coordinates (x, -y).
So reflected across the x-axis: f(x) → -f(x),
⇒ (x,y) → (x , -y)
"A" is a y-axis reflection, "B" and "C" are basically points shifting to a different region of the graph, and "D" is a mirror reflection on the x-axis.
Hence, graph (D) shows a reflection across the x-axis.
To learn more about the transformations click here :
brainly.com/question/28029674
#SPJ5
The area of the base of a trapezoidal
prism is 95 cm2. The height of the prism is a
cm. What is the volume of the trapezoidal
prism? Describe how you determined your
solution.
Answer:
The surface area of a trapezoidal prism is the amount of area occupied by the surface of a trapezoidal prism. A trapezoidal prism is a three-dimensional solid that is made up of two trapezoids on opposite faces which are joined by four rectangles called the lateral faces. Like all three-dimensional shapes
Step-by-step explanation:
The area occupied by the surface of a trapezoidal prism is known as the surface area of a trapezoidal prism. Since the trapezoidal prism has a flat base, thus we can say that it has a total surface area and a curved surface area. The surface area of any three-dimensional geometrical shape is the sum of the surfaces of that enclosed solid which equals the areas of all of the faces. A trapezoidal prism has two trapezoidal faces four rectangular faces. Thus, the simple formula for calculating the surface area of a trapezoidal prism involves the area of the base, the perimeter of the base, and the slant height of any side of the prism. The surface area of any geometric figure is always measured in square units like cm2, m2, ft, or cubits2.
You have a subtotal of $32.75 at an online clothing store. You want to spend at least $75 to get free shipping. Write an inequality that represents the
amount of money m you can still spend to get free shipping.
Answer:
Step-by-step explanation:
32.75 + m =75
how to do this question plz
Answer:
3.86
Step-by-step explanation:
To solve this problem, we can use sine of the angle 75(which as a reminder, is opposite over hypotenuse):
sin(75)=x/4
x=4*sin(75)
If you plug that into a calculator, you get approximately 3.86.
The picture below shows how to set up the triangle.