Answer:
The obtuse angle is 120°.The acute angle is 60°.Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression
[tex]A = \frac{O}{2}[/tex]
Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}
Using all the given information, we have
[tex]O + \frac{O}{2}=180\°[/tex]
Solving for [tex]O[/tex], we have
[tex]\frac{3O}{2}=180\\ O=120\°[/tex]
Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
Given ΔJKL, the following steps were performed to construct triangle ΔXYZ so that ΔJKL ≅ ΔXYZ.
1.Copy side JL to form XZ.
2.Copy angle ∠LJK to form ∠ZXY.
3. Copy side JK to form XY.
4. Construct segment YZ.
Which congruency theorem can be applied to prove that the triangles are congruent?
a) ASA
b) SSS
c) AAS
d) SAS
Answer:
it's SAS. You've probably found out by now sorry :/
Step-by-step explanation:
Answer:
sas
Step-by-step explanation:
Bess drew a rectangular prism that is 12 units long, 8 units wide, and 13 units tall. What is the volume of the rectangular prism? A. 109 cubic units B. 156 cubic units C. 970 cubic units D. 1,248 cubic units
Answer:
D. 1,248 cubic units
Step-by-step explanation:
the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units
Answer: D. 1,248 cubic units
Step-by-step explanation:
The formula for a rectangular prism volume is: V = Length x Width x Height.
In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.
12 x 8 x 13 = 1,248. Therefore D is correct!
Hope this helped you!
Help me please, an explanation would be nice as well
Answer:
Option (A). 44.1
Step-by-step explanation:
In the figure attached,
Triangle XYZ is am obtuse triangle having,
m∠XZY = 133°
m(YZ) = 21 units
m(XZ) = 27 units
By Cosine rule,
(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ
Where θ is the angle opposite to side XY.
(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°
= 1943.38614
XY = √1943.38614
XY = 44.084
≈ 44.1 units
Therefore, length of side XY = 44.1 units
Option (A) will be the answer.
Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex]V=122.5in^3[/tex]
Step-by-step explanation:
The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .
So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).
[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]
Answer:
122.5
Step-by-step explanation:
What is the product 6(x^2-1)*6x-1/6(x-1) A)6(x-1)^2 B)6(x^2-1) C)(x+1)(6x-1) D)(x-1)(6x-1
Answer:
D
Step-by-step explanation:
(6x^2-6)×(6x-1)/(6x-6)
Simplify
U get (x+1)(6x-1)
Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.
Answer:
Step-by-step explanation:
keep change flip
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3
Answer:
y=2x-2-3
Step-by-step explanation:
First you will need graphing paper. Go ahead and locate the y intercept on each of these equations. Then locate the slope. (y=mx+b). If the slope is positive count the amount of blocks up the slope's value is. And if negative count down. Then count to the right depending on the denominator. (2/1) You will make a triangle draw the line on the hypotenuse of the triangle. Then you have the line. You can also just use desmos.
The equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
What are functions?Functions are used to represent equation, graphs and tables
The parent function of the graph is an exponential function represented by
[tex]y = 2^x[/tex]
First, the function is shifted 2 units right.
So, we have:
[tex]y = 2^{x - 2}[/tex]
Next, the function is shifted 3 units up.
This is represented as:
[tex]y = 2^{x - 2} + 3[/tex]
Hence, the equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
Read more about exponential functions at:
https://brainly.com/question/11464095
A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each descent?
Answer:
20 feet
Step-by-step explanation:
5 descent =>100 feet
1 descent => 100÷5
= 20 descent
What is the probability of spinning an A?
Answer:
25%
Step-by-step explanation:
There are 8 slices in the spinny thingy.
There are 2 A's
[tex]\frac{1}{4}[/tex] = 25%
Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!
Answer:
(x-4)^2 + (y-3)^2 =8
Step-by-step explanation:
The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3
(4,3)
The radius is the distance from the midpoint to an endpoint
This is 2sqrt(8)
So the equation is
(x-4)^2 + (y-3)^2 =8
Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
591.18
Step-by-step explanation:
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)
Answer:
576π in² and 1,809 in².
Step-by-step explanation:
To find the answer, the formula for the area of a circle, or A = πr², will need to be used.
In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:
48/2 = 24 inches.
Now, plugging this into the equation for the Area of a Circle, gets us:
A = π24²
A = 576π or 1808.64 in².
Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)
What is the gradient of the graph shown?
Answer:
-1/2
Because, for every one square, the line goes down by 1/2.
Answer:
- 0.5
Step-by-step explanation:
To find the gradient of a line,
divide the value of decrease by the value across.
So, count across from the extreme left toll the extreme right = 13
Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5
Now, you divide: 6.5 divided by 13 = 0.5
Since we counted down, it is negative = -0.5
Please mark brainiest
The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real numbers. What are the values of a and b.
Answer:
a = -6 and b = 3√2
Step-by-step explanation:
Given the complex solution below;
x = (-24±√-288)/4
Re writing in the standard format a,+bi
x =( -24±√144×√2×√-1)/4
In complex notation, i = √-1
x = (-24±√144×√2×i)/4
x = ( -24±12×√2i)/4
x = -24/4±12√2i/4
x = -6±3√2i
Comparing the resulting complex number with a+bi
a = -6 and b = 3√2
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half of the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Answer:
C
Step-by-step explanation:
PLATO
So, sin E=0.5. Therefore, option C is the correct answer.
Given that, AB║DE and sinA= 0.5.
We need to find the value of sin E.
How to find the value of sin?The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.
Now, sinA = 0.5
⇒∠A=30°
∠A=∠E=30° (∵∠A and ∠E are alternate angles)
Therefore, option C is the correct answer.
To learn more about trigonometry visit:
https://brainly.com/question/12068045.
#SPJ5
is it true or false , why and why not ?
9a is equivalent to 11a - 2a
Answer:
true
Step-by-step explanation:
11a - 2a
Factor out a
a(11-2)
a *9
9a
Answer:
9a is equivalent to 11a - 2a because 11a-2a=9a
Step-by-step explanation:
Triangle GHJ has the exterior angles shown below. Triangle G H J. The exterior angles are (9 x + 6) degrees, (10 x + 7) degrees, (10 x minus 1) degrees. For Triangle G H J, what is the value of x? 2.7 5.8 12 29
Answer:
b) 5.8
Step-by-step explanation:
Explanation
Given diagram the angles are (9 x + 6)°, (10 x + 7)°, (10 x - 1)°
we know that the sum of the angles of the triangle is equal to 180°
∠A +∠B +∠C = 180°
(9 x + 6)°+(10 x + 7)°+ (10 x - 1)° = 180°
On simplification , we get
29 x + 12 = 180
29 x = 180 -12
29 x = 168
x = 5.79 ≅ 5.8
Answer:
b
Step-by-step explanation:
Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.
Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.
What type of figure is quadrilateral FXYH?
Answer:
Isosceles trapezoid
Step-by-step explanation:
The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.
Answer:
trapezoid
Step-by-step explanation:
find the volume of prism
pls!! show how you got the volume
Answer:
7.5
Step-by-step explanation:
Add each number then divide at the end
Write in standard form an equation for the line with slope 1/3 through
the point (2,-2).
Answer:
x - 3y = 8.
Step-by-step explanation:
Use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So substituting the given values:
y - (-2) = 1/3(x - 2)
y + 2 = 1/3x - 2/3 Multiply through by 3:
3y + 6 = x - 2
x - 3y = 6 + 2
x - 3y = 8 <---- Standard Form.
WILL BE GIVING BRAINLIEST
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3 = 5 1/3
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3
= 5 1/3
Hope this helps!
Which ordered pair makes both inequalities true? y x On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)
Answer:
(-2, 2)
Step-by-step explanation:
Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).
Answer:
(-2,2)
Step-by-step explanation:
What is the vertex of the function f(x)=3(x-4)^2+5
Answer:
vertex = (4, 5 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 3(x - 4)² + 5 ← is in vertex form
with vertex = (4, 5 )
At a middle school, 30% of the students walk to school, 1/5 (20%) ride their bikes, 12.5 are dropped off by car, and the remaining students ride the bus to school.
Is there are 800 students who attend this school, how many students use each form of transportation?
Answer:
please give more clarification
Answer:
Walk: 240
Ride 160
Car 100
Rest 300
Step-by-step explanation:
Walk:
30%
.30 * 800 = 240
Ride
20%
.20 * 800 =160
Car
12.5%
.125 * 800 =100
Rest
100-30-20-12.5 =37.5
.375 * 800 = 300
What is the 5th term of the linear sequence below?
−
-5,-2,1,4,7,
Answer:
The sequence has '+3' each time, so the next will be 10
Step-by-step explanation:
it is 10 cuz it goes from -5 adding 3
Really need help can someone help me with this problem plz! I need help asap! Someone plz help me plz plz help me!
Answer:
x = 358. / Maximum amount of money for sales = $3,759
Step-by-step explanation:
x + 26 = 384. Inverse operations
-26. -26
x = 358
358($10.50) = $3,759
The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals with no spaces. Example: 1.23x10^4 or 1.23E4 Write the budget in scientific notation. 1 point Debt: Write the population in scientific notation. 1 point Population: Calculate the Budget Per Capita and write your answer in standard notation. Round to a whole number. 2 points Use the budget per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
Hello,
This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.
Budget = 69.1 billion
Converting this to scientific form = 6.91×10¹⁰
Population = 11.67 million
Converting this to scientific form = 1.167×10⁷
Budget per capita refers to budget allocated to each individual in the population.
Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.
Budget per capita = budget / total population
Budget per capita = 6.91×10¹⁰ / 1.169×⁷
Budget per capita = 5911.03
What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03
Please help! Correct answer only!
There are 10 cards in a hat, numbered 1 to 10. The game is to draw one card out of the hat. If the number you draw is even, you win $30. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$15
Step-by-step explanation:
Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!
Anyone answer ASAP now plzz
Answer:
x = -0.189x= -15.810Step-by-step explanation:
I hope it helps
Write in slope-intercept form an equation of the line that passes through the given points.
Answer:
y = x+5
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
m = (7-3)/(2 - -2)
=(7-3)/(2+2)
= 4/4
= 1
The slope intercept form is
y = mx+b
y = x+b
Substitute a point in
7 = 2+b
Subtract 2 from each side
5 =b
y = x+5
Answer:
y = x + 5
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (7 - 3) / (2 - (-2))
= 4/4
= 1
Since y = mx + b and m = 1,
y = (1) * x + b
y = x + b
7 = 2 + b
b = 5
Putting b = 5 in y = x + b, we get:
y = x + 5
Hope this helps!
