F(x)={2x-5}|{4-2x} where x= -1

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

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Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

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We know that,

The sum of all angles of a triangle is 180°

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So, According to the question :

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

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${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

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${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

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Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

3 0

2 years ago

A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3

ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y = 0.35(50)

Solve the first equation for one variable...

x = 50 - y (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

-0.15y = -2.5

y = 16.66666667

y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

3 0

3 years ago

Read 2 more answers

Select other ways to express 10². Mark all that apply.

Elanso [62]

F and D is the answer
hope this helps
have a good day

7 0

3 years ago

Read 2 more answers

Find the standard deviation of the sample ($23.14, $20.12, $56.21, $34.56, $43.74)

Shkiper50 [21]

Answer:

S.D=61.824137824783

Step-by-step explanation:

6 0

3 years ago

If ABCD is congrunent to , pqrs, then AD is congrent to ?

katovenus [111]

Answer:

AD is congruent to RS

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

If

ABCD≅PQRS

then

<em>Corresponding angles</em>

∠A≅∠P

∠B≅∠Q

∠C≅∠R

∠D≅∠S

<em>Corresponding sides</em>

AB≅PQ

BC≅QR

CD≅RS

AD≅PS

7 0

3 years ago