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2 years ago

A carpenter cuts the corners of a rectangle to make the trapezoid shown.

Mathematics

1 answer:

lozanna [386]2 years ago

4 0

The value of x in the trapezoid is 11.

<h3>Properties of an isosceles trapezoid</h3>

The base angles are the same
The sum of opposite angles is 180° or supplementary.
The diagonals are the same in length.

Therefore, the angle 9x and 7x + 4 are supplementary.

Hence,

9x + 7x + 4 = 180

16x + 4 = 180

16x = 180 - 4

16x = 176

x = 176 / 16

x = 11

learn more on trapezoid here: brainly.com/question/18651035

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SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS

antiseptic1488 [7]

Answer:

$\sf -11+7\sqrt{2}$

Step-by-step explanation:

Given expression:

$\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }$

Rewrite 32 as 16 · 2:

$\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }$

Apply radical rule $\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}$

$\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }$

As $\sf \sqrt{16}=4$ :

$\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }$

Multiply by the conjugate:

$\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }$

$\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}$

$\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}$

As $\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2$ :

$\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}$

$\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}$

$\sf \implies \dfrac{11-7\sqrt{2}}{-1}$

$\sf \implies -11+7\sqrt{2}$

7 0

2 years ago

I need help with these please!!

Aleonysh [2.5K]

Use photomath it’s faster and you get correct Answers!<3 have a good day

3 0

3 years ago

Read 2 more answers

What is the measure of an angle if it is 260 degrees less than six times its own complement?

poizon [28]

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

7 0

3 years ago

30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a

Lisa [10]

Answer:

12 inches

Step-by-step explanation:

Given

$\theta = 31^{\circ}$

$diagonal = 23.3\ in$

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

$sin \theta = \frac{opp}{hyp}$

This gives:

$sin 31^{\circ}= \frac{h}{23.3}$

Make h the subject

$h = 23.3 * sin(31^{\circ)$

$h = 23.3 * 0.5150\\$

$h = 11.9995$

$h = 12\ inches$

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3 years ago

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What is the axis of symmetry for f(x) = -3x2 + 18 - 7

solong [7]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

The axis of symetry is x = h.

$y=ax^2+bx+c\to h=\dfrac{-b}{2a}$

We have

$f(x)=-3x^2+18x-7\to a=-3,\ b=18,\ c=-7$

Substitute:

$h=\dfrac{-18}{(2)(-3)}=\dfrac{-18}{-6}=3$

<h3>Answer: x = 3</h3>

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3 years ago