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3 years ago

For what values of x and y are the triangles to the right congruent by HL?

Mathematics

1 answer:

vaieri [72.5K]3 years ago

6 0

Answer:

x = 28/3

y = 7/3

Step-by-step explanation:

If the triangles are congruent, then corresponding sides are equal.

x = 4y

x + 1 = y + 8

Solve the system of equations using substitution or elimination. Using substitution:

4y + 1 = y + 8

3y = 7

y = 7/3

Solving for x:

x = 28/3

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Irina-Kira [14]

Answer:

The answer is x= -10

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3 years ago

A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less

den301095 [7]

Answer:

The maximum height of the prism is $12\ m$

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

$A=L*W$

$A\leq 27\ m^{2}$

$L*W\leq 27$ -------> inequality A

$W=x-9$ ------> equation B

$L=W+6$ -----> equation C

Substitute equation B in equation C

$L=(x-9)+6$

$L=x-3$ ------> equation D

Substitute equation B and equation D in the inequality A

$(x-3)*(x-9)\leq 27$ -------> using a graphing tool to solve the inequality

The solution for x is the interval----------> $[0,12]$

see the attached figure

but remember that

The width of the base must be $9$ meters less than the height of the prism

the solution for x is the interval ------> $(9,12]$

The maximum height of the prism is $12\ m$

8 1

3 years ago

Read 2 more answers

I need help. Only do number 34.

Svetach [21]

Answer:

Amplitude: 3

Period: 2π

Step-by-step explanation:

5 0

2 years ago

ANSWER QUICKLY PLEASE<br> Given the triangles are similar, find BD.

Alla [95]

Answer:

The answer is 10

Step-by-step explanation:

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3 years ago

I need to know the equations

dem82 [27]

Let l, t, b represent the numbers of lions, tigers, bears, respectively.

2l +3t +3b = 156 . . . . . . . 156 meals per day are supplied
l +t = 3b . . . . . . . . . . . . . . there are 3 times as many great cats as bears
l +t +b = 68 . . . . . . . . . . . there are a total of 68 animals

_____
The last 2 equations tell you
.. 4b = 68
.. b = 17
Subtracting 3 times the last equation from the first gives
.. -l = -48
There are 48 lions, 3 tigers, and 17 bears.

4 0

3 years ago

Read 2 more answers

For what values of x and y are the triangles to the right congruent by​ HL?

For what values of x and y are the triangles to the right congruent by HL?