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4 years ago

Please help me with this problem, i need the value of x

Mathematics

1 answer:

Lina20 [59]4 years ago

7 0

The answer is 11. First, use the fact that you have a set of parallel lines cut by a transversal. That makes the other base angle equal 33 as well cuz of alternate interiors. Then, use the fact that the sum of the angles that are remote to 5x = 5x. In other words, 33 + 2x = 5x. Solve for x = 11. That means that the other angle inside the triangle is 125, and if x = 11 then 5x = 55. The sum of all 4 of those angles should then equal 360 which they do!

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Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Vladimir79 [104]

Answer:

Figure A

Step-by-step explanation:

See the attached figure which represents the given options

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

As shown: point A will map to point L, point R will map to point P and point Q will map to point K.

we will check the options:

Figure A: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

Figure B: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.

Figure C: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.

Figure D: the triangle ARQ and LPK can be mapped to each other using a rotation about point A.

So, the answer is figure A

The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.

3 0

3 years ago

Read 2 more answers

What is the surface area of the square pyramid represented by the net?

Illusion [34]

Would need the net to answer. but to find the answer you need to find the slant height of the square pyramid, the slant height is the hypotenuse of the right triangle formed by the height and half the base length. Use the pythagorean Theorem

7 0

3 years ago

Lashonda purchased a prepaid phone card for $20. Long distance calls cost 8 cents a minute using this card. Lashonda used her ca

Gre4nikov [31]

We know that

• Lashonda purchased a prepaid phone card for $20.

• Long-distance calls cost 8 cents a minute.

• The remaining credit on her card is $17.12.

This problem can be expressed as

$20-0.08x=17.12$

Where x is the number of minutes.

We solve the equation for x

$\begin{gathered} -0.08x=17.12-20 \\ -0.08x=-2.88 \end{gathered}$

Then, we divide by -0.08 the equation

$\begin{gathered} \frac{-0.08x}{-0.08}=\frac{-2.88}{-0.08} \\ x=36 \end{gathered}$ <h2>Therefore, Lashonda's call last 36 minutes.</h2>

8 0

2 years ago

A product is now £50, the product was reduced by 20%, what was the original price

olga nikolaevna [1]

the original price is "x", or 100%.

but we know that if we reduce "x" by 20%, namely 100% - 20% = 80%, the 80% of "x" is really £50, what is "x" or the 100% anyway?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 50&80 \end{array}\implies \cfrac{x}{50}=\cfrac{100}{80}\implies \cfrac{x}{50}=\cfrac{5}{4}\implies 4x=250 \\\\\\ x=\cfrac{250}{4}\implies x=62.5$

3 0

3 years ago

Find the inverse of the function. f(x) = -3x + 7

LUCKY_DIMON [66]

F(x) = -3x + 7
y = -3x + 7
x = -3y + 7
-3y + 7 = x
-3y = x - 7
y = -1/3x + 7/3
f^-1(x) = -1/3x + 7/3

8 0

3 years ago