Answers:
Each pair of triangles are congruent. The congruence reasoning is shown below.
ASASSSHA======================================
Further Explanation:
ASA is where we have the marked side between two marked angles. This is slightly different from AAS or SAA. The order is important. The diagram shows how the angles pair up (eg: the double arc angles are the same measure). Using ASA is enough to prove the triangles congruent.SSS is used here because we have three pairs of congruent sides. The unmarked sides overlap perfectly, so we consider this a shared side. They are congruent to each other (because of the reflexive property). So we have enough info to show that the triangles are congruent.HA stands for hypotenuse angle. It's probably not that often used. It only applies to right triangles. The two overlapped segments are the hypotenuse of each right triangle, so that takes care of the "H" of "HA". The A part refers to the congruent acute angles (not the right angles). Therefore, the triangles are congruent by the HA theorem.Abbreviations:
ASA = angle side angle
SSS = side side side
HA = hypotenuse angle
Please help and find and explain Claire’s Mistake
A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?
51
Step-by-step explanation:
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Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?
Answer:
no
the goal total would be too high
Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.
__
If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...
s + 2s = 9
3s = 9 . . . . . . collect terms
s = 9/3 = 3 . . . divide by the coefficient of s
Sadie scored 3 goals. (s=4 is not the solution to the problem)
Consider the following two functions: f(x) = -.25x+4 and g(x)= .5x-1. State:
a. The y-intercept, x-intercept and slope of f(x)
b. The y-intercept, x-intercept and slope of g(x)
c. Determine the point of intersection. State your method used.
Answer:
f(x)= -25x+4
y-inter x=0
y= -25(0)+4
=4
x-inter y=0
0= -25x+4
-4= -25x
x=4/25
10)
X + 80
700
B) 8
A) 5
C) -10
D) 7
I
Answer:
x+80=70°(exterior alternate angles)
x=70-80
x=-10
Find the volume of the prism.
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Answer:
420 mm³
Step-by-step explanation:
The volume is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
The triangular base area is given by the formula ...
A = 1/2bh
A = 1/2(10.5 mm)(10 mm) = 52.5 mm²
Then the volume of the prism is ...
V = (52.5 mm²)(8 mm) = 420 mm³
explain why triangles in the figure are similar. then find the missing length x
Answer:
∨∨∨∨see below∨∨∨∨∨∨
Step-by-step explanation: 6 26 18 13
The two outside angles are congruent. The two inside angles are supplemental thus they are equal. The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.
find x
4 is to x as 5 is to 7.5
4/x = 5/7.5 solve for x
4 × 7.5 / 5 = x
30 / 5 = x
6 = x
What is the value of log √10?
Answer:
0.5
Step-by-step explanation:
Answer:
.5
Step-by-step explanation:
calculator
A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
the null hypothesis:
The alternative hypotehsis:
The type of test statistic (choose Z, t, Chi-square, or F)
The value of the test statistic (round to at least three decimal places:
Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months?
Answer:
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
Step-by-step explanation:
Manufacturing process under control must produce items that follow a normal distribution.
Manufacturer information:
μ = 51 months mean lifetime
σ = 7 months standard deviation
Sample Information:
x = 51 months
n = 60
Confidence Interval = 90 %
Then significance level α = 10 % α = 0.1 α/2 = 0,05
Since it is a manufacturing process the distribution is a normal distribution, and with n = 60 we should use a Z test on two tails.
Then from z- table z(c) for α = 0,05 is z(c) = 1.64
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate z statistics z(s)
z(s) = ( x - μ ) / σ /√n
z(s) = ( 53 - 51 ) / 7 /√60
z(s) = 2 * 7.746 / 7
z(s) = 2.213
Comparing z(s) and z(c)
z(s) > z(c) then z(s) is in the rejection region
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
(2104ft)(1 yd/3 ft)(1 football field/100 yds
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Answer:
7 1/75 football fields
Step-by-step explanation:
Multiply it out. The units of feet and yards cancel, leaving football fields.
= (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields
= 7 1/75 football fields
An orthocenter is the intersection of three.....?
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
Answer:
x+5+\frac{1}{x-2}
X + 5 + 1/( x - 2)
Step-by-step explanation:
I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!
how can i solve the following
4(5x-2) = 2(9x + 3
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.
determine the value of a in the figure shown
Answer:
d
Step-by-step explanation:
180-149= 31.
31+ 122= 153
180-153= 27
a= 27
which term in the quotient of this expression contains an error?
Answer:
The + 78 :- it should be + 60.
Step-by-step explanation:
Long division:-
x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.
4x^4 - 12x^3
6x^3 + 0x^2
6x^2 - 18x^2
18x^2 + 6x
18x^2 - 54x
60x + 3
60x - 180
183
pls i need this one n i pass the class pls pls help me
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Answer:
x = 5
Step-by-step explanation:
The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:
x/3 = 7.5/4.5
x = 3(7.5/4.5) . . . . multiply by 3
x = 5
Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!
=========================================================
Explanation:
The order of the lettering is important because the order tells us how the letters pair up.
For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.
The congruences for the segments are then built up from the angles.
PLEASE HELP ME FAST I WILL GIVE BRAINLYEST
7.)
cbrt(1200)
10.63
8.)
sqrt(112)
10.58
Answer:
1.) because 10^3=1000 and 11^3 = around 1330 we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)
2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)
Step-by-step explanation:
if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC
Answer:
BC
Step-by-step explanation:
BECAUSE BC IT'S EQUAL TO EF
Answer:
B. BC
Step-by-step explanation:
By SSS rule in ∆ ABC and DEF,
AB = DEBC = EFCA = FDPLS HELP ASAP !!! PLSSS !!
Answer:
74
Step-by-step explanation:
the lines r parallel and the angle on the same side
Answer:
74°
Step-by-step explanation:
..........................
Helpp please… due at 12:00
Answer:alternate exterior angles
Step-by-step explanation:
Since they’re on the outside of the parallel lines that makes them exterior
a + b = 300 pls help i cant find out the answer
Answer:
a= 250
b= 50
250 + 50 = 300
Step-by-step explanation:
There's many solutions but this was the first one I could come up with.
Answer:
my opinion is seince a+b=300 then the sqaure of 300= 17.3?
Step-by-step explanation:
expand 3e(e+4)
Hhhhhhh
Answer:
[tex]3e^{2} + 12e[/tex]
Step-by-step explanation:
[tex]3ee+3e4[/tex]
[tex]3ee+3 * 4e[/tex]
[tex]3e^{2} + 12e\\[/tex]
[tex]3 \: {e}^{2} + 12 \: e[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \: e \: ( \: e + 4 \: ) \\ \\ = 3 \: e \times \: e + 3 \: e \times 4 \\ \\ = 3 \: {e}^{2} + 12 \: e[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
Which unit of measure would be appropriate for the area of a picture that is
20 centimeters tall and 15 centimeters wide?
A. Meters
B. Cubic centimeters
C. Square centimeters
D. Centimeters
Answer:
C: Square centimeters
Step-by-step explanation:
We are measuring length here, not volume, so recognize that this fact eliminates Answer B. The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C: Square centimeters.
Instructions: Find the value of x
Please help
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
The following set of data represents the ages of the women who won the Academy Award for Best Actress from 1980 - 2003:
31 74 33 49 38 61 21 41 26 80 42 29
33 35 45 49 39 34 26 25 33 35 35 28
Make frequency table using # of classes as per the following criteria:
i) if you are born in Jan, Feb, Mar: No of classes = 5
ii) if you are born in Apr, May, Jun: No of classes = 6
Answer:
Step-by-step explanation:
Given the data :
Using 6 classes :
Class interval ____ Frequency
21 - 30 _________ 6
31 - 40 _________ 10
41 - 50 _________ 5
51 - 60 _________ 0
61 - 70 _________ 1
71 - 80 _________ 2
Please help meeeeeee!!
Find x so that m || n. Show your work.
Solution:-Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.
Solve for x.
[tex]\sf{4x-23=2x+17}[/tex]
[tex]\sf{4x-2x-23=2x-2x+17}[/tex]
[tex]\sf{2x-23=17}[/tex]
[tex]\sf{2x-23+23=17+23}[/tex]
[tex]\sf{2x=40}[/tex]
[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]
[tex]\sf{x={\color{magenta}{20}}}[/tex]
========================#Hope it helps!
(ノ^_^)ノ
Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
I need help, please answer A and B.
Answer:
a. 81 square inches
b. 108 inches
Step-by-step explanation:
The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.
Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).
12*9 = 108 and that is the perimeter.
Answer:
area
Step-by-step explanation:
a = 405/5 = 81
a =81 square inches
perimeter
p = √81
= 9
=4×9×5
=180 inches