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alexdok [17]
3 years ago
11

Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x?

Drag and drop the equation into the box. x = 67​​x = 52​x=180−(67+52)​​​x = 67 + 52x=90−67−52 Three lines making six angles with the left most angle at fifty two degrees the top middle angle at sixty seven degrees and the angle between them at X degrees
Mathematics
2 answers:
ankoles [38]3 years ago
8 0
The answer is  x =180 - (67+52)

Umnica [9.8K]3 years ago
4 0

Answer:  Second option is correct. i.e.

x=180-(67+52)

Step-by-step explanation:

Since we have given that

Measure of left most angle = 67

Measure of top middle angle = 52

Let the angle between them be x degrees

As we know that "Sum of three angles of a triangle is 180 ".

So, it becomes,

67\textdegree+52\textdegree+x=180\textdegree\\\\x=180\textdegree-(67+52)\textdegree\\\\x=180\textdegree-119\textdegree\\\\x=61\textdegree

Hence, Second option is correct. i.e.

x=180-(67+52)

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The length of the base of a square pyramid is 9 inches. The slant height is 12 inches. What is the surface area of the pyramid?
Igoryamba

Answer:  C) 297 in2

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a square pyramid (S) = 2 (length of the base) slant + length of the base ^2

S = 2bs + b^2

Replacing with the values given:

S = 2 (9) 12 + 9^2

S = 216 +81 = 297 square inches

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
the distance from the earth to the sun is( 1.496 x 10^11 ) m and the distance between earth and moon is 3.84 x 10^8 m. during so
melamori03 [73]

Answer:

1.49216 x 10^11 m.

Step-by-step explanation:

That would be the following difference:

1.496 x 10^11 - 3.84 x 10^8

= 1.49216 x 10^11 m.

5 0
3 years ago
Traveling with the current, a canoe went 30 miles in 3 hours. Traveling against the current, the canoe went 12 miles in 3 hours.
lora16 [44]

Answer

Rate of canoe in calm water is 7 mph

Step-by-step explanation:

Let y be the rate of the canoe in calm water

Let z represent the rate of current

Traveling with the current, the canoe went 30miles in 3 hours

The total speed of the current and canoe will be (y + z) mph

Recall that,

speed = distance / time

Distance = speed x time

Distance = 30 miles

time = 3 hours

30 = 3( y + z)

divide through by 3

30/3 = 3/3 (y + z)

10 = y + z -------------------- equation 1

Against the current, the canoe went 12 miles in 3 hours

Let the speed = (y - z) mph

Distance = speed x time

12 = 3(y - z)

Divide through by = 3

4 = y - z ------------- equation 2

The two-equation can be solved simultaneously

y + z = 10 --------------- equation 1

y - z = 4 -------------- equation 2

Eliminate z by adding the two equations equation together

(y + y) + (z - z) = 10 + 4

2y + 0 = 14

2y = 14

y = 14/2

y = 7 mph

To find z, put y in equation 1

y + z = 10

z = 10 - y

z = 10 - 7

z = 3 mph

Hence, the rate of canoe in calm water is 7mph

6 0
1 year ago
I WILL GIVE BRAINLIEST!!!! PLZ HELPS ASAP!!!
Phantasy [73]

Answer:

x = xi + delta x

-2+1 = -1

y = yi + delta y

-5+3 = -2

(-1,-2)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve for all values of x by factoring.<br> x^2 + 4x – 30 = -3x
vichka [17]

Answer:

{x}^{2}  + 4x - 30 =  - 3x \\{x}^{2}  + 7x - 30 = 0 \\  {x}^{2}  - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\  \boxed{x = 3} \\  \boxed{x =  - 10}

<h3><em><u>x=3 or x=-10</u></em> is the right answer.</h3>

7 0
3 years ago
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