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Scorpion4ik [409]
3 years ago
13

Given the figure, find the values of x and z.

Mathematics
2 answers:
matrenka [14]3 years ago
7 0

Answer:

z = 62 \\ 6x + 52 = 180 - 62 \\ 6x = 66 \\ x = 11

Slav-nsk [51]3 years ago
7 0

Answer:

x = 11 , z = 62

Step-by-step explanation:

62° and (6x + 52)° are adjacent angles on a straight line and sum to 180°

62 + 6x + 52 = 180

6x + 114 = 180 ( subtract 114 from both sides )

6x = 66 ( divide both sides by 6 )

x = 11

62° and z° are vertically opposite angles and are congruent , then

z = 62

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Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC . What is the leng
Thepotemich [5.8K]

Answer:

Length of side of rhombus is x=\frac{ab}{a+b}  

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA        (∵Corresponding angles)

∠CFE=∠CAB        (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

\frac{EF}{AB}=\frac{CF}{AC}

⇒ \frac{x}{a}=\frac{b-x}{b}

⇒ xb=ab-ax

⇒ x(a+b)=ab

⇒ x=\frac{ab}{a+b}

Hence, length of side of rhombus is x=\frac{ab}{a+b}  

6 0
3 years ago
Could someone help? :)
cluponka [151]

The value missed is 1 min / 60 seconds

<h3>What is unit conversion?</h3>

Units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

To convert 720 seconds to hour,

First convert second to minutes divide by 60 and then again convert minutes to hour again divide by 60.

So,

720 seconds * ( 1 minutes /  60 seconds) * ( 1 hour / 60 minutes)

= 12 hours.

Learn more about this concept here:

brainly.com/question/4736731

#SPJ1

8 0
2 years ago
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
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Answer:

y=-5x+12


Step-by-step explanation:

just use a graphing calculator and basic knowledge of slope intercept form

7 0
2 years ago
Another question i will give brainlilest!
Strike441 [17]

Answer:

2π

Step-by-step explanation:

Area = πr^2

        = π2^2

        = 4π

4π is the area of the whole circle, so divide it in half to get the semicircle.

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5 0
3 years ago
Find the amount of interest on $35,000 at 9.72% compounded monthly for 32 months
zhannawk [14.2K]

9514 1404 393

Answer:

  $10,308.92 interest earned

Step-by-step explanation:

The account balance is given by ...

  A = P(1 +r/12)^n

where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...

  A = $35,000(1 +0.0972/12)^32 = $45,308.92

The interest earned is the excess of the balance over the original investment:

  interest = $45,308.92 -35,000 = $10,308.92

4 0
3 years ago
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