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3 years ago

Are the triangles congruent?Why or why not?

Mathematics

2 answers:

Hoochie [10]3 years ago

8 0

Yes they are congruent

Sergeu [11.5K]3 years ago

3 0

Answer:

Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.

Step-by-step explanation:

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What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?

Ahat [919]

3x + y = 9 (I)
y = –4x + 10 (II)
------------------------
 $\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.$

Pass the incognito "4x" to the first term, changing the signal when changing sides.
-------------------------
simplify by (-1)
 $\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.$ 

-------------------------
 $\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right. 
$

-------------------------
 $\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.$ 

-----------
 $\boxed{x = 1}$ 

Substitute in equation (I) to find the value of "Y".

3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
$\boxed{y = 6}$

Answer:
$\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}$

6 0

3 years ago

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is

qwelly [4]

Answer:

Step-by-step explanation:

Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.

Consider the attached diagram

AB=BC=x

However to be able to solve for x, we form a right triangle with endpoints A and C.

Since the hypotenuse is always the longest side in a right triangle

Hypotenuse, AC=30 Inches

Using Pythagoras Theorem

$30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches$

Therefore, the smallest possible perimeter of the triangle

Perimeter=2x+30

=2(21.21)+30

=42.42+30

=72.4 Inches (rounded to the nearest tenth)

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2 years ago

Erica, James, Stella, and Kim all did an experiment involving an electrically charged object. Who did repeated trials of his or

abruzzese [7]

Answer:

D stella I think

Step-by-step explanation:

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2 years ago

0.5(x+0.1)-0.1(x-0.5)

Rom4ik [11]

Answer: 0.4x + 0.1

Step-by-step explanation: Distribution.

0.5(x+0.1)-0.1(x-0.5)

0.5 times x = 0.5x

0.5 times 0.1 = 0.05

First step: 0.5x + 0.05

Distribute next part

-0.1 times x= -0.1x

-0.1 times -0.5 = 0.05

-0.1x + 0.05

Put together: 0.5x + 0.05 -0.1x + 0.05

Combine like terms:

0.5x -0.1x = 0.4x

0.05 + 0.05 = .1

Answer: 0.4x + 0.1

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3 years ago

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Provide a model and solve 4/7 = 1 2/7 divided by 3/14 =7

ASHA 777 [7]

This can’t be solved you have no variable and two equal signs as it is written

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2 years ago