A triangle has the following lengths 4 cm 5 cm and 5 cm what kind of triangle is it

2x+3y=15 X+y=6 Simultaneously equations

Lerok [7]

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=15;x+y=6

Rewrite equations:

x+y=6;2x+3y=15

Step: Solvex+y=6for x:

x+y=6

x+y+−y=6+−y(Add -y to both sides)

x=−y+6

Step: Substitute−y+6forxin2x+3y=15:

2x+3y=15

2(−y+6)+3y=15

y+12=15(Simplify both sides of the equation)

y+12+−12=15+−12(Add -12 to both sides)

y=3

Step: Substitute3foryinx=−y+6:

x=−y+6

x=−3+6

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=3

7 0

3 years ago

Read 2 more answers

Determine if DE is parallel to AC. Show all your work!!!

skelet666 [1.2K]

Answer:

Step-by-step explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

$\frac{AD}{DB}=\frac{CE}{EB}$

$\frac{22.5}{15}=\frac{24}{40-24}$

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.

3 0

3 years ago

Find the requested angle supplement of 68.9

Minchanka [31]

supplement of 68.9° = 180° - 68.9° = 111.1° = 111° 06'

7 0

3 years ago

When utilizing ANOVA, what does the between group sum of squares measure?

zhenek [66]

Answer:

b. The sum of the squared deviations between each group mean and the mean across all groups

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

If we assume that we have $p$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation: