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3 years ago

I need help with this question please ASAP!!!!!!!!

Mathematics

1 answer:

Viefleur [7K]3 years ago

4 0

For the one on the left they are corresponding and on the right they are vertical

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Is triangle abc ~ triangle def ?

tamaranim1 [39]

Answer:

Unable to be determined.

Step-by-step explanation:

AA postulate : 2 corresponding angles that are congruent.

SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.

SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.

This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.

Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.

Therefore, we cannot determine if the triangles are similar or not.

5 0

3 years ago

Solve the equation. -3x^2+2x=8

daser333 [38]

The answer is 1+2√23 or 1-2√23

4 0

4 years ago

Question 9 Expand and simplify (2x-7)(3x-8).

Readme [11.4K]

Answer:

=> Expand by applying the FOIL method

$2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)$

=> combine like terms

$6x^2-37x+56$

4 0

2 years ago

An article reports on an experiment in which each of five groups consisting of six rats was put on a diet with a different carbo

loris [4]

Answer:

H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples

Step-by-step explanation:

A B C D E

2.58 2.63 2.13 2.41 2.49

∑A=2.58 ∑B=2.63 ∑C=2.13 ∑D=2.41 ∑E=2.49

A² B² C² D² E²

6.6564 6.9169 4.5369 5.8081 6.2001

∑A²=6.6564 ∑B²=6.9169 ∑C²=4.5369 ∑D²=5.8081 ∑E²=6.2001

Calculations

Group A B C D E Total

N n1=1 n2=1 n3=1 n4=1 n5=1 n=5

∑xi T1=2.58 T2=2.63 T3=2.13 T4=2.41 T5=2.49 ∑x=12.24

∑x²i 6.6564 6.9169 4.5369 5.8081 6.2001 ∑x²=30.1184

Mean xi 2.58 2.63 2.13 2.41 2.49 Total2.448

Σ Σ xij^2 = 185.4 given

Let k = the number of different samples = 5

n=n1+n2+n3+n4+n5=1+1+1+1+1=5

Overall ˉx=12.24/5 =2.448

∑x=T1+T2+T3+T4+T5=2.58+2.63+2.13+2.41+2.49=12.24----1

Correction Factor=(∑x)²/n=12.242/5=29.9635--------(2)

∑T²i/ni=(2.582/1+2.632/1+2.132/1+2.412/1+2.492/1)=30.1184------(3)

∑x²=∑x²1+∑x²2+∑x²3+∑x²4+∑x²5

=6.6564+6.9169+4.5369+5.8081+6.2001=30.1184-------(4)

ANOVA:

Step-1 : sum of squares between samples

SSB=(∑T2i/ni)-(∑x)2/n

=(3)-(2)

=30.1184-29.9635

=0.1549

Step-2 : Total sum of squares

SST=SSB-CF

= 185.4-2.488

=182.952

Step-3 : Sum of Squares Within Samples

SSW=∑x²-(∑T²i/ni)=SST- SSB=

= 182.952-0.1549=182.7971

Step-4 : variance between samples

MSB=SSB/k-1

=0.1549/4

=0.0387

Step-5 : variance within samples

MSW=SSW/n-k

=182.7971/5-5

=36.55942

Step-6 : test statistic F for one way ANOVA test

F=MSB/MSW

=0.0387/36.55942 = 0 .001058

ANOVA table

Source Sums Degrees Mean

of Variation of Squares of freedom Squares

SS DF MS F

B/w samples SSB = 0.1549 k-1 = 4 MSB = 0.0387 0.001

Within samples SSW = 0 n-k = 0 MSW = 36.55942

Total SST = 0.1549 n-1 = 4

H0 : The true average DNA content is not affected by the type of carbohydrate in the diet between samples

Ha : The true average DNA content is affected by the type of carbohydrate in the diet between samples

F(4,0) at 0.05 level of significance =0.5

As calculated F=0.001 >0.5

So, H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples

6 0

3 years ago

Please pick an answer.

Morgarella [4.7K]

Answer:

this is how you do it

Step-by-step explanation:

treat the < and > as equals

then solve for x easy peasy

7 0

3 years ago