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ki77a [65]
3 years ago
8

Given: circle k(O), ED diameter, m∠OEF=32°, m EF=(2x+10)°. Find: x

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

The value of x is 53\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc DF

we know that

The inscribed angle measures half that of the arc comprising

so

m

we have

m

substitute

32\°=\frac{1}{2}(arc\ DF)\\ arc\ DF=64\°

step 2

Find the measure of x

we know that

arc\ DF+arc\ EF=180\° ---> is a semi circle

we have

arc\ DF=64\°\\ arc\ EF=(2x+10)\°

substitute

64\°+(2x+10)\°=180\°\\ 2x\°=180\°-74\°\\ 2x\°=106\°\\ x=53\°

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If nm = 8x - 14 and jk = x squared + 1, find JK
marissa [1.9K]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of Jk can be either 10 or 26.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since in a rectangle the opposite sides are equal, therefore, the sides NM and JK will be equal.

JK = MN

8x - 14 = x² + 1

0 = x² - 8x + 15

x = 5, 3

Hence, the length of Jk can be either 10 or 26.

The complete questions are:

Quadrilateral JKMN is a rectangle, if NM= 8x - 14 and JK= x squared + 1, find JK.

Learn more about Rectangle:

brainly.com/question/15019502

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2 years ago
What form is the equation below written in?<br> y = (x - 2)2 - 9
fgiga [73]

Answer:

linear equation

Step-by-step explanation:

it is because x has degree 1.

degree 2:- quadratic

,,. 3:- cubic

,,. 4:- bi quadratic

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3 0
3 years ago
If julie needs 3 14_ cups of oatmeal, how many 1_ 4 cups of oatmeal will she use?
nydimaria [60]
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3 0
3 years ago
The function f(t) = 3(1 + 0.5)^nt models the weight in pounds of an alligator each year from its birth. Based on the function, w
masha68 [24]
<h2>Hello!</h2>

The answer is: 50% (0.5)

<h2>Why?</h2>

Exponential growth equations are use to predict the growth (in function of time) using proportional information.

We can calculate the exponential growth using the following formula:

y=S(1+r)^{t}

Where,

S, is the starting value

r, is the growth rate

t, is the time

So, we are given the function:

f(t) = 3(1 + 0.5)^{nt}

Where,

f(t), is the function,

3, is the starting value (lb)

0.5 (50%) is the growth rate

nt, is the time elapsed.

Hence,

From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.

We can turn the growth rate given in real numbers to percent value by multiplying by 100

GrowthRate(Percentage)=0.5*100=50(Percent)

So, the growth rate is 50%.

Have a nice day!

5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Alenkasestr [34]

Answer:

A = -10

Step-by-step explanation:

x^2 + 10x + 24 = 0

To find the roots, we need to factor the equation.

What 2 numbers multiply to 24 and add to 10

6*4 = 24

6+4 = 10

(x+6) (x+4)=0

Using the zero product property

x+6 = 0  x+4 = 0

x = -6   x = -4

We want the sum when the roots are added

-6+ -4 = -10

6 0
3 years ago
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