Answer:
30degrees
Step-by-step explanation:
The sum of angles of a triangle is 180
<A + <B + <C = 180
Substitute the given values
3x + x+10 + 6x = 180
10x + 10 = 180
10x = 180-10
10x = 170
x = 170/10
x = 17
Get <A:
<A = 3x
<A = 3(10)
<A = 30degrees
Hence the measure of angle A is 30degrees
QR is parallel to ST Rs is parallel TU QS is congruent to SU
prove QRS is congruent to STU
Answer:
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As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, Line segment QR is parallel to line segment ST.
Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.
So, The included angle of two pairs of parallel lines will also be the same as
line segment QS is similar to line segment SU.
∴ ∠QRS is similar to ∠STU.
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A computer company can inspect 12 laptops in 8 hours. what's the ratio
Answer:
4:1
Step-by-step explanation:
hope this helps
Answer:
The ratio is 1 hour to 1.5 laptops
Step-by-step explanation:
If you divide the time by amount done, there you have the answer.
Find z if the standard normal curve area between – z and z is 0.4530.
Answer:
Step-by-step explanation:
Hi,
1) Find z if the standard normal curve area between -z and z is 0.4530.
Y1 = normalcdf(-x,x,0,1) - .4530 and x = .60226
a. ± 0.118
b. ± 0.398
c. ± 0.602 <==ANSWER
d. ± 0.752
2) If a random variable has the normal distribution with μ = 104.3 and σ = 5.7, find the probability that the value will be greater than 112.3
normalcdf(112.3, 500, 104.3, 5.7) = .08023
a. 0.08 <==ANSWER
b. 0.09
c. 0.10
d. 0.11
3) Determine a 90% confidence interval for μ if σ = 5, \bar{x} = 70, and n = 82. Answer interval rounded to two decimal places.
70 ± 1.645 (5/√82) or 69.09 to 70.91 <==ANSWER
I hope that helps!! :-)
SOMEONE PLEASE PLEASE HELP ME
Answer:
taking cos
co62=b/h
cos 62=x/12
0.46947x12=x
so, x = 5.633
rounding off
x= 6
Answer:
x = 6.0
Step-by-step explanation:
Formula For Cos: cos (angle°) = adjacent/hypotenuse
Angle = 62
Adjacent = x
Hypotenuse = 12
cos (angle) = adjacent/hypotenuse
cos (62) = x/12
0.67350716232 = x/12
0.67 = x/12 (Rounded to make further calculations simpler)
12(x/12) = 12(0.67)
x = 8.04
x = 6.0 (Rounded to nearest tenth)
Therefore, x = 6.0
Hope this helped! <3
which ones are equal to eachother & why. A,B,C or D?
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0)
Answer:
x²/4 + y²/16 = 1
Step-by-step explanation:
Foci on the y axis: major axis parallel to y axis
x²/b² + y²/a² = 1
x²/4 + y²/16 = 1
The required equation of an ellipse is given by x²/4 + y²/16 = 1
Given that,
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0), the equation of the ellipse is to be determined.0
Ellipse is defined as the cross-section of the cone when cutting it with a plane parallel to its base.
Here,
Standard equation of the ellipse with origin as the center,
x²/a² + y²/b² = 1
where a and b are the minor and major axis of the ellipse.
From the given, we have a = 2 and b = 4
So the equation of the ellipse,
x²/4 + y²/16 = 1
Thus, the required equation of an ellipse is given by x²/4 + y²/16 = 1.
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20 to the power of 3 divided by 2
Answer:
4000
Step-by-step explanation:
20 to the power of 3 is 8000 and 8000/2 is 4000
f(x) = x - 5; translation 7 units right
Answer:
f(x-7) = x -12
Step-by-step explanation:
horizontal translation 7 units right: f(x-7)
f(x) = x - 5
f(x-7) = x-7 -5 = x -12
Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In the afternoon, she soent four hours doing family portaits sessions but she didnt do as many session as the graduation portraits. Tomorrow, she has the same number of graduation and family sessions to work. Which will she likely finish in less time?
Evaluate 4x^2-12x+5 at x=6. A. 67 B. 77 C. 105 D. 221
Please hurry, I am giving 50 points! I only have a limited time to answer it!!!
Answer: B. 77
Sub x =6 into the given expression
4x^2 - 12x + 5
= 4(6)^2 - 12(6) + 5
= 144 - 72 + 5
= 77
[tex]\\ \sf\longmapsto 4x^2-12x+5[/tex]
[tex]\\ \sf\longmapsto 4(6)^2-12(6)+5[/tex]
[tex]\\ \sf\longmapsto 4(36)-72+5[/tex]
[tex]\\ \sf\longmapsto 144-67[/tex]
[tex]\\ \sf\longmapsto 77[/tex]
Factor using the trinomial
10.
X2 + 13x + 12
Answer:
Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]
Step-by-step explanation:
We need to factor the trinomial: [tex]x^2+13x+12[/tex]
We can factor the trinomial by breaking the middle term i.e 13x
Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2
We can break 13x as: 12x and x
Adding them we get 13x and multiplying them we get 12x^2
So,
[tex]x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)[/tex]
So, Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]
Find the scale factor of PQRS to JKLM and the values of w, x, and y.
The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.
What is Scale Drawing?A scale drawing is a drawing made by enlarging or reducing the size of the original object.
The factor by which the drawing is enlarged or reduced is called the scale factor.
Given two quadrilaterals PQRS and JKLM.
Since the shape is similar, the angles are equal and thus are similar figures.
The corresponding sides of two similar figures are proportional.
Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5
Using the proportional rule for similar figures,
KL / QR = LM /RS = MJ / SP = JK / PQ
15 / 12 = x / 10 = y / 16 = 25 / w
Scale factor = 15/12 = 5/4
Consider 15 / 12 = x / 10.
12x = 150
x = 12.5
Consider 15 / 12 = y / 16
12y = 15 × 16
y = 20
Consider 15 / 12 = 25 / w
15w = 12 × 25
w = 20
Hence the option d is the correct answer.
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2) LaChina spherical glass decorative balls that she is filling with blue liquid to match the color of
her room. If there is 4,000 cubic inches of liquid to be poured into 20 glass spheres, what is the
diameter of each sphere? Round to two decimal.
Answer:
8000
Step-by-step explanation:
Does the graph in Exercise 33 have a Hamilton path? If
so, find such a path. If it does not, give an argument to
show why no such path exist
;
Answer:
there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2
Step-by-step explanation:
a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .
which expression is equivalent to 15+8x+3+2x
Answer:
10x + 18
Step-by-step explanation:
First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.
So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.
Therefore, this expression is equivalent to 10x + 18.
What is 1 infinity plus 1 infinity equal.
Answer:
infinity
Step-by-step explanation:
lol
Find the volume of this cuboid.
6 cm
8 cm
10 cm
Answer: the volume is 480 cm
Step-by-step explanation:
You find the volume of a shape by multiplying the base x width x height. In this case the height is 6 the width is 8 and the length is 10. 6x8x10= 480.
Answer:
lb×bh×hl
6×8×8×10×10×6
48×80×60
230400
Please help me if u know
Which quotient is greater than 2?
50 ÷ 28
45 ÷ 23
38 ÷ 16
28 ÷ 15
how many 3/2s are in 5
Answer:
15 fifths
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3/2 is equal to 1.5 and 3 1.5s can fit in 5 equaling 4.5
On Friday and Saturday, there were a total of 200 cars in a parking lot. On Friday, there were 120
m the lot. What percent of the total number of cars were in the parking lot on Saturday?
Answer:
0.4
Step-by-step explanation:
Somebody pls help me with this
A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer
Answer:
Maximum amount of toppings is 14 inequality is t <=14
Step-by-step explanation:
let t be the amount of toppings on the pizza
0.75t + 2 <= 12.50
0.75t <= 10.50
t <= 14
8.In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the probability that it is neither orange nor red
Answer: then its blue, 1/3
Step-by-step explanation: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green?
---
I guess the ball was blue.
P(blue) = 7/21 = 1/3
Can somebody help me thank you.
Please Help :))
Find the value of x in each pair of similar figures
Answer:
21
Step-by-step explanation:
set up proportion and solve
18/12=x/14 (cross multiply)
252=12x
21=x
When Georgie buys three boxes of apples she has 40 pounds more than when she has one box of apples. How many pounds of apples will there be an eight boxes?
Answer:
160 pounds
Step-by-step explanation:
If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds
What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
[tex]{\underline{\underline{\bf{Given:}}}}[/tex]
A right-angled triangle DEFMeasure of angle F = 90°Measure of side DF = 13.6 mMeasure of side DE = 16.2 m[tex]{\underline{\underline{\bf{Need\:to\:find:}}}}[/tex]
The measure of side EF.[tex]{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}[/tex]
Pythagorean Theorem:
[tex]\underline{\boxed{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}}[/tex]
[tex]{\underline{\underline{\bf{Solution:}}}}[/tex]
According to the given data, we know the measures of Perpendicular and Hypotenuse. Hence, the measure of the base (Side FE) can be found by substituting the given measures in Pythagorean Theorem.
[tex]\implies{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{DF}^{2}={DE}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{(13.6)}^{2}={(16.2)}^{2}}}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ {(16.2)}^{2} - {(13.6)}^{2} } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ 262.44 - 184.96 } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{77.48 } }}[/tex]
[tex]\implies{\sf{EF=\red{\underline{\underline{8.802\:m}}}}}[/tex]
[tex]{\underline{\underline{\bf{Required\:answer:}}}}[/tex]
The length of side EF is 8.802 m.___________________________________________What is the solution to the system? x + y = 4 x+y=1
Given :
x + y = 4x + y = 1To Find :
The value of x and y.Answer :
x + y = 4 ....[Equation (i)]x + y = 1......[Equation (ii)]Adding eqⁿ (ii) and eqⁿ (i) we get :
→ x + y + x - y = 4 + 1
→ 2x = 5
→ x = 5/2
→ x = 2.5
Now, put the value of x = 5/2 in eqⁿ (i) we get :
→ x + y = 4
→ 5/2 + y = 4
→ y = 4 - 5/2
→ y = 1.5
Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.
On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).
To complete the pentagon, she can choose only from the points below.
(2, 0), (–2, 0), (–2, 4), (2, 4)
How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Answer:
D
Step-by-step explanation:
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Im pretty sure
Answer:
D
Step-by-step explanation: