For Problems 18 - 34, determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible.
Q: Name one additional piece of information that would be sufficient to prove that the triangles are…
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A: Two shapes and we have to find the congruency postulates.
Q: The triangles are congruent by %23 Y
A: Given figure
Q: 6. AGAS = NOL 72 72 46
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A: Pythagoras theorem: It states that, In a right angled triangle, the sum of squares of perpendicular…
Q: if the hypotenuse of a 45, -45 and -90 degree triangle is 13, what is the length of one of the legs
A: Here the given right angle triangle having angles 45, 45, 90 Since the two angles of the given…
Q: One way to show that two triangles are similar is to show that
A: One way to show that two triangles are similar is to show that corresponding angles in triangles are…
Q: The larger of two supplementary angles exceeds the smaller by 180. Find them.
A: For two supplementary angles ‘x’ and ‘y’ the given conditions can be written from the information…
Q: Which of the following sets of numbers could represent the three sides of a right triangle?
A: We have to find which set represent three side of a right triangle.
Q: If the hypotenuse of a right triangle is 10 and one leg is 4, what is the length of the other leg?
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Q: Name at least 3 objects or cite at least 3 situations in real life where chords, arcs, and central…
A: Given Give the example of three real life situations which describe the chords, arcs and the central…
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A: to find:- distance between two planes.
Q: If AC = 41, and AB = 20, what is the value of x to the nearest %3D whole?
A: We have, AC = 41 and AB = 20
Q: If the length of side AB is 1, what would be the length of side FC?
A: Given, To Evaluate FC
Q: Consider the expression that generates all angles coterminal for 0° and or 360°. Why do both…
A: The solution is given below in the next step:
Q: given (3,5) and (-2,1), fin the distance between these two points. If needed, leave the answer as a…
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Q: In a right triangle, if the length of the hypotenuse is 34 and the length of one of the other sides…
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Q: B. ΔΗGI 쓴 A,
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Q: Find the distance between the two points in simplest radical form. 10 9 8 6 5 4 2 8- 6- or. 6. 10 -6…
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Q: The Pythagorean Theorem allows you to find the missing sides in right triangles. O True O False
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Q: The side opposite to the Right angle in a right angled triangle is the hypotenuse True or False?
A: True
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Q: If the two shorter sides of a 45 degree –45 degree –90 degree triangle are both 3/4 , find the…
A: Consider the diagram of the triangle, according to Pythagoras theorem, In a right-angled triangle,…
Q: Show that the two triangles are similar. AWXZ and AZXY 24
A: Use angle angle angle(AAA) to prove similar
Q: 9. ARQS A.
A: The given triangle congruent by four Theorems AAS (Angle Angle Side) SSS (side side side) SAS(side…
Q: Problem 2: Determine whether each statement is true or false, and state à reason for wer. a) A…
A: we have to write true or false of the following subparts and state the reason behind it.
Q: If a 45°-45°-90° triangle has legs of length 5V2, find the length of the altitude to the hypotenuse.
A: Given: A 45°-45°-90° triangle has legs of length 52. To Find: Length of the hypotenuse
Q: If the triangles shown are similar so that 3:4:5 = x:y:15, what are the values of x and y?
A: Given:
Q: show that the sum of the measures of the three interior angles of a triangle is 180 degrees
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Q: In a right triangle, if the length of the hypotenuse is 17 and the length of one of the other sides…
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Q: 10.
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Q: For Problems 18 - 34, determine which postulate can be used to prove that the triangles are…
A: 18. All three sides are equal so SSS will be used to prove they are congruent.
Q: Determine whether each of the following is true of a 30-60-90 triangle or a 45-45-90 triangle..
A: Follow the procedure given below.
Q: If both a parallelogram and triangle have the same base and altitude, then the area of the…
A: Given: If both a parallelogram and triangle have the same base and altitude, then the area of the…
Q: What additional information would prove the triangles congruent by the hypotenuse-
A: Consider the given figure:
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Q: In a right triangle, if the length of the hypotenuse is 13 and the length of one of the other sides…
A: Given problem is : In a right triangle, if the length of the hypotenuse is 13 and the length of…
Q: For 15, if possible, name a triangle congruent to the triangle given and state the congruence…
A: Consider ∆MRA For the given triangle, MF = RA (given) RM = MR (common side)
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Q: If the hypotenuse and leg of one obtuse triangle are congruent to the corresponding parts of another…
A: Given that two right triangles have congruent(equal) hypotenuse and one of the leg.
Q: What similarity property, if any, can be used to show that the following two triangles are similar.
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Q: What additional information would prove the triangles congruent by the hypotenuse-leg me.
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Q: ACTB A.
A: The given figure is
Q: For question 8, determine whether the triangles are congruent, name the congruence shortcut. If the…
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- An article on the PureEnergySystems.com website written by Louis LaPoint discusses a product called acetone. The article stated that “Acetone 1CH3COCH32 is a product that can be purchased inexpensively in most locations around the world, such as in common hardware, auto parts, or drug stores. Added to the fuel tank in tiny amounts, acetone aids in the vaporization of the gasoline or diesel, increasing fuel efficiency, engine longevity, and performance—as well as reducing hydrocarbon emissions.” To test whether this product actually does increase fuel efficiency in passenger cars, a consumer group has randomly selected 5 people to participate in the study. The following procedure is used: People are to bring their cars into a specified gasoline station and have the car filled with regular, unleaded gasoline at a particular pump. Nothing extra is added to the gasoline at this fill-up. The car’s odometer is recorded at the time of fill-up. When the tank is nearly empty, the person is…AUA wants to know whether recent alumni students from MBA class earn significantly more than recent alumni from BAB class. They take a sample of several students and ask the amount of their monthly salaries in USD (Sheet 32). What can AUA conclude at alpha=0.05? Sheet 32 MBA BAB 515 300 450 420 620 380 630 450 570 420 590 490 750 510 560 470 480 530 250 570 320 480 450 620 625 190 350 280 450 350 570 250 Select one: a. t(stat)=1.92, which is greater than t(cr)=1.7, therefore, we can conclude that MBA graduates earn more BAB graduates. b. t(stat)=1.89, which is greater than t(cr)=1.75, therefore, we can conclude that MBA graduates earn more BAB graduates. c. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we cannot conclude that MBA graduates earn more BAB graduates. d. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we can conclude that MBA graduates earn more BAB graduates.Soil samples were collected at two areas surrounding an abandoned mine and analyzed for lead. At each area several samples were taken. The soil was extracted with acid, and the extract was analyzed using flame atomic absorption spectrometry. In Area A, Pb concentrations were 1.2, 1.0, 0.9, 1.4 mg/kg. In Area B, Pb concentrations were 0.7, 1.0, 0.5, 0.6, 0.4 mg/kg. Are these two areas significantly different from each other with Pb concentrations at 90% confidence level?
- The table shows the CBR and CDR of Y Province. Compute for: 1. Time to reach 50,000,000 population2. 2005 population WITH SOLUTION PLEASE SO I CAN FOLLOW, ALSO INCLUDE INTERPRETATION. THANKYOU SO MUCH Table X. Crude Birth and Death Rates and Population Counts of Y Province in 1985 and 1990 1985 1990 Population size 1, 365, 533 1, 552, 258 Crude Birth Rate 24.9 28.1 Crude Death Rate 6.6 5.6Two groups, A and B, consist of 100 people each who have a disease. A serum is given to group A but not to group B (which is called the control). It is found that in groups A and B, 75 and 65 people, respectively, recover from the disease. At significant levels of (a) 0.01, (b) 0.05, test the hypothesis that the serum helps cure the disease.An industrial concern has experimented with several different mixtures of the fourcomponents—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise arocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions.40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists ofa blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture)are prepared and tested to obtain the flare-illumination values. These data appear here (in unitsof 1,000 candles).Mixture 1 185 192 201 215 170 190 175 172 198 202Mixture 2 221 210 215 202 204 196 225 230 214 217a. Plot the sample data. Which test(s) could be used to compare the meanillumination values for the two mixtures?b. Give the level of significance of the test and interpret your findings
- Individual A has a red die and B has a green die (both fair). If they each roll until they obtain five "doubles" (1-1,...,6-6), what is the pmf of X (= the total number of times a die is rolled)? What are E(X) and V(X)?The process engineers have designed our drink process with an upper spec or tolerance of46 ounces and a lower spec or tolerance of 42 ounces. I wonder what our processcapability really is? I've been reading about Six Sigma, it would be fantastic if we could add that to our already fantastic slogan regarding this new beverage!"• Calculate the process capability (Cp and Cpk)Cp = (USL – LSL) / (6 x sigma) Where:USL= Upper Specification Limit or ToleranceLSL = Lower Specification limit or ToleranceCpk is the capability the process is achieving whether or not the mean is centered between the specification limits.Process Capability Formulas:part C D 33000331 UPH-1 St. Lawrence dolomite 618 0.05 2.69 2.74 2.83 48000168 Langer Platteville dolomite 127.8 0.06 2.69 2.75 2.86 52000415 3-21-13z1 Galena dolomite 575 0.04 2.72 2.76 2.83 52000415 3-21-13z1 Platteville dolomite 740 0.05 2.7 2.75 2.85 60000086 VD #1 Silurian dolomite 684 0.03 2.75 2.78 2.83 60000086 VD #1 Galena dolomite 1070 0.05 2.69 2.74 2.84 60000086 VD #1 Platteville dolomite 1142 0.02 2.77 2.79 2.83 13001466 NS-2 Tunnel City sandstone 60.1 0.14 2.41 2.54 2.79 13001466 NS-2 Tunnel City sandstone 60.2 0.28 1.93 2.21 2.67 13001466 NS-2 Tunnel City sandstone 118.3 0.3 1.88 2.18 2.7 33000331 UPH-1 St. Peter sandstone 222 0.22 2.06 2.28 2.65 33000331 UPH-1 Jordan sandstone 531 0.21 2.09 2.3 2.65 33000331 UPH-1 Tunnel City sandstone 644 0.18 2.22 2.4 2.7 33000331 UPH-1 Wonewoc sandstone 735 0.2 2.12 2.32 2.65 33000331 UPH-1 Wonewoc sandstone 840 0.27 1.93 2.2 2.66 33000331 UPH-1 Mt. Simon sandstone 927 0.18 2.31 2.49 2.81…
- I would like all parts for E, ( i, ii, iii, iv v, vi) to be answered please Car tyres come in many different brands. Even on a car, the tyres can wear out after travelling differentdistances, due to cornering, braking and wheel alignment. Manufacturers of car tyresare interested in the average distance in kilometres travelled by tyres, or the lifetime of tyres until they are considered un-usable and need tobe replaced. At this time a tyre is considered unroadworthy. E) The lifetime T in thousands of km of brand E of car tyres, satisfies a probability density function given by. f(t)=(at^2 0=t=50, b(100-t) 50=t=100, 0 elsewhere) i) Show that a = 3/312500 and b= 3/6250 ii) For 36 tyres of brand E, find the expected number that will last longer than 40,000 km. iii)Sketch the graph of T on the axes below, clearly labelling the scale. iv) Find the expected value and variance of brand E car tyres. v) Find the probability that the lifetime of brand E car tyres lies within two standard…A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.18. please have all 6 steps of the p method listed clearly! Truck pollution: In an experiment to determine the effect of ambient temperature on the emissons of oxides of nitrogen ( NOx ) of diesel trucks, 10 trucks were run at temperatures of 40°F and 80°F . The emissions, in parts per billion, are presented in the following table. Truck 40°F 80°F 1 951.6 924.1 2 836.1 862.0 3 984.1 960.6 4 937.2 837.0 5 895.4 863.7 6 1018.2 970.0 7 944.5 838.5 8 843.9 784.8 9 837.8 857.9 10 967.4 913.9 Send data to Excel Let μ1 represent the mean emission at 40°F and =μd−μ1μ2 .Can you conclude that the mean emissions are higher at 40°F ? Use the =α0.05 level of significance and the TI-84 Plus calculator to answer the following.