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Sergio [31]
3 years ago
14

Х x 320 X= degrees. SJSJSJSJS Ja

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

\bf \large \hookrightarrow \:  \: x \:  =  \: 32 \degree \:  +  \: 90 \degree

\bf \large \hookrightarrow \:  \: x \:  =  \: 122 \degree

Gala2k [10]3 years ago
6 0

Answer:

122

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior agnles

32+90 =x

122 =x

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Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:
ioda

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

                                                  $=\frac{3}{18}

Divide numerator and denominator by the common factor 3.

                                                  $=\frac{3\div3}{18\div3}

                                                  $=\frac{1}{6}

Option A is the correct answer.

Hence the probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

3 0
3 years ago
The surface area of a cube is 560,000 square centimeters. How many square meters is this?
tresset_1 [31]

Answer:

5,600 m^2

Step-by-step explanation:

a 1cm= 0.01m

560000(0.01)=5600

3 0
2 years ago
Read 2 more answers
X/3+9=17 simplify your answer
frosja888 [35]
I think the answer might be x=24
8 0
3 years ago
EXTRA POINTS :) what is the value of x??
vlada-n [284]

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

8 0
3 years ago
Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

8 0
4 years ago
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