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evablogger [386]
3 years ago
15

Find the value of x. Show all work.

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer and Step-by-step explanation:

Answer and Step-by-step explanation:

We are given an isosceles triangle, shown by the fact that there are two red marks on two sides, indicating that the sides are congruent in length, which means the base angles are congruent as well.

Add the angles together and equal it to 180.

34 + x + 81 + x + 81 = 180

Simplify.

115 + 2x = 180

Subtract 115 from both sides of the equation.

2x = 65

Divide both sides of the equation by 2.

x = 32.5 is the answer.

#teamtrees #PAW (Plant And Water)

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Set up and solve an equation:

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3 0
3 years ago
Give each rate in miles per hour:
DIA [1.3K]

a) 9/212 = #mph

b)0.000142045 Miles / 0.000277778 hours = # mph

Step-by-step explanation:

a) 9/212 = #mph

b)

1)9 inches divide the length value by 63360 is 0.000142045 Miles

2) 1 hour  3600 seconds in ones hour so 1/3600 =0.000277778

3) take miles/hour

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6 0
3 years ago
A paddleboat can move at a speed of 4 ​km/h in still water. The boat is paddled 12 km downstream in a river in the same time it
Bas_tet [7]

Answer:

Speed of the river = \frac{4}{3} km per hour

Step-by-step explanation:

Speed of the boat in still water = 4 km per hour

Let the speed of the river = v km per hour

Speed of the boat upstream = (4 - v) km per hour

Time taken to cover 6 km = \frac{\text{Distance}}{\text{Speed}}

                                           = \frac{6}{4-v} hours

Speed of the boat downstream = (4 + v) km per hour

Time taken to cover 12 km = \frac{12}{4+v} hours

Since, time taken by the boat in both the cases is same,

\frac{6}{4-v}= \frac{12}{4+v}

6(4 + v) = 12(4 - v)

24 + 6v = 48 - 12v

12v + 6v = 48 - 24

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3 0
3 years ago
Area of circle with diameter 14cm is​
Alisiya [41]

Answer:

A≈153.94cm²

Step-by-step explanation:

A=πr2

d=2r

Solving forA

A=1

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4 0
3 years ago
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given informa
irinina [24]

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

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3 years ago
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