Answers
Answer:
Yes
Step-by-step explanation:
The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.
Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.
Therefore we can see that they can be proved congruent by the HL Theorem.
Related Questions
Who’s can help me with this, it is to hard
Answers
Answer:
x = 10
MB = 16
CM = 16
CB = 32
Step-by-step explanation:
Since it's the mispoint
2x - 4 = x + 6
Subtract x from both sides
x - 4 = 6
Add 4 to both sides
x = 10
MB = 2x - 4
MB = 20 - 4
MB = 16
CM = x + 6
CM = 16
CB = 16 + 16
CB = 32
Please solve this for me. I will mark you branliest if you gave me the best explanation to your answer.
For every $6 spent at a shop, the owner will donate $2 to charity. The
total amount of money donated to the charity was $56. What is the
least possible amount of money that was spent at the shop?
Answers
Answer:
$168
Step-by-step explanation:
Divide $56 by $2
$56 ÷ $2 = 28
Thus $2 was donated 28 times
He donated $2 every time $6 was spent, then
money spent = 28 × $6 = $168
Answer:
$168
Step-by-step explanation:
We have the following ratio
Spent at shop : donated to charity
6:2
we know that
x:56
To solve this we just mulitply 6 by 28 (28 because this is what we mulitplied the two in our original ratio to reach 56)
6*28=168
Find the lateral area and the surface area of the composite solid. Keep answer in exact form.
10 cm
12 cm
1
1
1
1
32 cm
10 cm
Lateral Area
Surface Area
Answers
Answer:
a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]
b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]
Step-by-step explanation:
a) Lateral area of the figure = 2[tex]\pi[/tex]rh
where; r is the radius of the cylinder, and h is its height.
Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32
= 2011.43 [tex]cm^{2}[/tex]
b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)
= 2[tex]\pi[/tex]r(r + h) - (b x h)
The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,
[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]
100 = 36 + [tex]h^{2}[/tex]
[tex]h^{2}[/tex] = 100 - 36
= 64
h = [tex]\sqrt{64}[/tex]
= 8
h = 8 cm
The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8
= 2640 - 96
= 2544
The surface area of the solid is 2544 [tex]cm^{2}[/tex].
Solve the inequality
x/2 > 1.52
Answers
Answer:
x> 3.04
Step-by-step explanation:
See The Image below:)
Please help will give brainlyist
Answers
Since the auditorium can hold 600 and the student body will be divide by four parts
The answer is
x ≤ 2400
Convert. 2/3and 4/6 into like fraction
Answers
Answer:
Answer given below
Step-by-step explanation:
When we calculate the LCM, you get it as 6.
So both the fractions should have a denominator 6.
For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.
When we convert to like fraction, 2/3 becomes 4/6.
Now both the fractions have common denominator
Hope it helps.
Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.
Use a thousands comma where applicable.
1. the company's percentage
%
2. the total premium $
3. the company's payment $
Answers
Answer:
I think the answer is 1,466.50
Identify the following fractions as either proper or improper. 8. 14⁄ 15
Answers
Answer:
proper I believe if I'm wrong sorry
Which numbers line correctly shows 4.5 - 2.5.? HELP FAST!!!
Answers
Answer:
Step-by-step explanation:
The answer would be the first option because it’s starting at 4.5, and if you subtracted 2.5, you would get the answer of 2, and that’s what the first option shows. Hope this helps!
Would you eat more calories having a package of M&Ms or TWO servings of Twizzlers.
Answers
Answer:
As per the USDA's M&M's nutrition facts, a single candy contains 3.4 calories, while one package provides 236 calories, 2 grams of protein and more than 30 grams of sugar.
There are 160 calories in 4 sticks (45 g) of Twizzlers Twizzlers
you would eat more calories with M&M's g
Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations:
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to test if these thermometers seem to be measuring the same temperatures. Let's use the threshold.
(a) Write down the appropriate hypothesis tests for β1.
H0: β1(≠ / = / > / <) 1 and Ha: β1( ≤ / = / > / ≠ / ≥ / <) 1.
(b) The test statistic is____.
(c) The p-value is____.
(d) Therefore, we can conclude that:_____.
1) The data provides evidence at the 0.1 significance level that these thermometers are not consistent.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
3) The probability that the null hypothesis is true is equal to the p-value.
4) The probability that we have made a mistake is equal to 0.1.
Answers
Answer:
a)H0: β1= 1 and Ha: β1 ≠1
b) The test statistic is____.t= b- β/ sb
c) The p-value is____.0.999144
(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.
The critical region at t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699
The test statistic is
t= b- β/ sb
which has t distribution with υ= 31-2= 29 degrees of freedom.
Calculations
Ŷ = a +bX
b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²
b = 39671.6/39680= 0.9998
a = y` - bx`
x`= 60
y`= 59.989
a = 59.989 -0.9998*60 = 0.001734
Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965
Syx= 36.9822
Sb= Syx/ √∑ (x-x`)²
Sb= 36.9823/ √39680
Sb= 36.9823/ 199.984
Sb= 0.18493
x-x` y-y` (x-x`)² (x-x`)(y-y`)
-60 -59.969 3600 3598.1419
-56 -55.999 3136 3135.9458
-52 -52.079 2704 2708.1097
-48 -47.959 2304 2302.0335
-44 -43.899 1936 1931.5574
-40 -39.989 1600 1599.5613
-36 -36.009 1296 1296.3252
-32 -31.899 1024 1020.769
-28 -28.049 784 785.3729
-24 -23.959 576 575.0168
-20 -19.989 400 399.7806
-16 -15.939 256 255.0245
-12 -12.039 144 144.4684
-8 -7.989 64 63.9123
-4 -4.119 16 16.4761
0 -0.08903 0 0
4 3.921 16 15.6839
8 7.961 64 63.6877
12 12.121 144 145.4516
16 16.031 256 256.4955
20 20.021 400 400.4194
24 24.111 576 578.6632
28 28.071 784 785.9871
32 31.751 1024 1016.031
36 36.031 1296 1297.1148
40 39.961 1600 1598.4387
44 43.881 1936 1930.7626
48 48.021 2304 2305.0065
52 52.001 2704 2704.0503
56 56.051 3136 3138.8542
60 60.041 3600 3602.4581
∑0 0 39680 (SSx) 39671.6 (SPxy)
Putting the values
The test statistic is
t= b- β/ sb
t= 0.9998-1/ 0.18493 ( β=1 given)
t=-0.0010815
Since the calculated t=-0.0010815 does not lie in the critical region t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.
The p-value is ≈ 0.999144
there is not enough evidence to reject the null hypothesis.
I need help to find the value of X?
Answers
9514 1404 393
Answer:
x = 60
Step-by-step explanation:
The angle x is half the sum of the intercepted arcs:
x = (40 +80)/2
x = 60
what is 2/5 times 30 equal in simplets form
Answers
Answer:
2/5 times 30 equals 12.
Answer:Step-by-step explanation:
For the given configuration, determine how many different licence plates are possible of (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated. NO LINKS!!
Answers
9514 1404 393
Answer:
5a,b = 17,576,000; 11,232,000
6. 45,697,600; 32,292,000
7. 6,760,000; 3,276,000
8. 118,813,760; 78,936,000
Step-by-step explanation:
The number of possible ways the characters can occur is the product of the numbers of ways a character can be selected in each position. If letters or digits cannot repeat, the number of possible selections is reduced by 1 in each new location.
5a. 26×26×26×10×10×10 = 26³×10³ = 17,576,000
5b. 26×25×24×10×9×8 = 11,232,000
__
6a. 10²×26⁴ = 45,697,600
6b. 10×9×26×25×24×23 = 32,292,000
__
7a. 10⁴×26² = 6,760,000
7b. 10×9×8×7×26×25 = 3,276,000
__
8a. 26⁵×10 = 118,813,760
8b. 26×25×24×23×22×10 = 78,936,000
There are 67 rabbits in the garden. Round 67 to the nearest 10.
Answers
Answer:
70
Step-by-step explanation:
1-4 rounds down
5-9 rounds up
hope this helps!!!
Ryan has homework in six subjects. He is deciding what order to complete them in
Answers
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answers
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?
Answers
Answer:
N'O' = 25
Step-by-step explanation:
N'O' = 5 × NO = 5 × 5 = 25
(-2)(-2)(-2)(-2) in exponential form
Answers
Answer:
[tex] (-2)^{4} [/tex]
Step-by-step explanation:
(-2)(-2)(-2)(-2)
The base is -2.
There are 4 factors of -2, so the exponent is 4.
[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?
A. 70
B. 35
C. 10
D. 40
Answers
Answer: Hello! When I tried solving the problem and I got the answer of 70.
Step-by-step explanation:
So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.
Please help me this is important to my grade
Answers
Answer:
C. x = 6
Step-by-step explanation:
2*6 + 4 = 16
what is a decimal in mathematics
Answers
Answer:
a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
Step-by-step explanation:
the product of a number and 5 is increased by 12 the result is 32 find the number
Answers
Answer:
4
Step-by-step explanation:
First, to get just the multiplication equation, we need to do,
32-12 = 20
20/5 = 4
The number is 4.
Now let's check our work.
4x5+12=32
The answer is 4.
The required number is 4.
Let the number be x.
Given, the product of x and 5 increased by 12 gives 32.
So in equation form,
[tex]5x+12=32\\[/tex]
Subtracting 12 from both the sides,
[tex]5x+12-12=32-12[/tex]
[tex]5x=20\\\\[/tex]
[tex]x=\dfrac{20}{5}[/tex]
Or, [tex]x=4[/tex]
Hence the required number is 4.
For more details follow the link:
https://brainly.com/question/10439298
Luisa’s bank offers a 13% simple interest rate on investment accounts. How much money would Luisa haved in her account if she invests $2,000 for 4 years?
i apriciate any help, thank you!
Answers
Answer:c
Step-by-step explanation:
PLZZ HELP I WILL GIVE A !)) POINTS Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey.Step 4: Calculate the equation for the flaming hoop jump.
Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome!
Determine the values of a, b, and c. Show your work. (10 points)
Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points)
Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points
Answers
Answer:
par t a:
plug in the root (4,0) to find a
0=a(4-24)^2+50
subtract 50 from both sides
-50=a(4-24)^2
4-24
=-20
-20^2=400
back to the equation
-50=a(400)
-50=400a
-50/400=-0.125
a = -0.125
part b:
-0.125(x-24)^2+50
-0.125(x-24)(x-24)+50
-0.125(x^2-24x-24x+576)+50
-0.125(x^2-48x+576)+50
-0.125x^2+6x-75+50
-0.125x^2+6x-22
a=-0.125
b=6
c=-22
part c: yes he went through
part d:
plug in vertex (4,0) and (44,0)
if x is 4 and y is 0
0=-0.125(4)^2+6(4)-22
0=-2+24-22
0=-2+2
0=0
if x=44 and y=0
0=-0.125(44)^2+6(44)-22
0=-242+264-22
0=-242+242
0=0
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZ
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration -
a, over time, t. Which is an equivalent equation solved for a?
Ofv=a
10-v=a
O a
(+v=a
o {+v=a
Answers
Answer:
A
Step-by-step explanation:
f = v + at
f - v = at
(f-v)/t = a
Answer:
(f - v) / t = a
Step-by-step explanation:
Solving for the equation for a means taking all integers or values on the other side of the equation for a
To do this we must do it mathematically.
f = v + at
f - v = at
(f - v) / t = a
The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answers
Answer:-18
-6
0
3
9
Step-by-step explanation:
properties of parallelograms
PLEASE HELP
Answers
Answer:
m∠Q = 109°
m∠QRT = 109°
x = 4
Step-by-step explanation:
1). "Opposite angles of a parallelogram are equal"
By this property,
m∠Q = m∠S = 109°
2). "Opposite sides of a parallelogram are parallel and equal in measure"
By this property,
RQ║ST and diagonal RT is a transversal line.
m∠QRT = ∠SRT = 30° [Alternate interior angles]
3). "Opposite sides of a parallelogram are parallel and equal in measure"
RS = QT
2x = 8
x = 4
A new car is purchased and a $30,000 loan is taken. The loan is for 7 years (84 months) and
the interest rate is 2.9% compounded monthly. What is the monthly payment?
Answers
Answer
around $250 per month
Step-by-step explanation:
h(-3), h(5), h(2), h(0)
h(x) = {x+1, x<2
{2x-1, x>2
Solve these:
h(-3) =
h(5) =
h(2) =
h(0) =
Answers
Answer:
h(-3) = -3h
h(5) = 5h
h(2) = 2h
h(0) = 0