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Sophie [7]
3 years ago
14

Solve for x please and thank you

Mathematics
2 answers:
mariarad [96]3 years ago
3 0

Answer:X=3

Step-by-step explanation:

Troyanec [42]3 years ago
3 0

Answer:

x=3

Step-by-step explanation:

Hi there!

We are given ΔRTS, m<T=25x, m<S=57+x (both inside triangle RTS), and m<TRQ (outside of ΔRTS)=45x

We want to solve for x.

We can use the exterior angle theorem, which states that a measure of an exterior angle (an angle outside of a triangle) is equal to the sum of two remote interior angles (adding the values of two different angles that are inside the triangle gives us the value of the angle outside of a triangle).

Based on the theorem, this is true:

m<T+ m<S= m<RTQ

We can plug in values we know into the equation to get:

25x+57+x=45x

Now combine like terms

26x+57=45x

Subtract 26 from both sides

57=19x

Divide both sides by 19

3=x

Hope this helps!

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If the total manufacturing cost is $40000 and the total amount of units manufactured is 500 units, then the price per unit is
mezya [45]

Answer:

Unitary cost= $80

Step-by-step explanation:

Giving the following information:

Total manufacturing cost= $40,000

Number of units= 500

<u>To calculate the unitary cost, we need to use the following formula:</u>

Unitary cost= Total manufacturing cost / number of units

Unitary cost= 40,000 / 500

Unitary cost= $80

6 0
3 years ago
What's the equation of the line parallel to the equation 3x + y =6 and that passes through the point (-6, -1) .
NNADVOKAT [17]

your formula will ALWAYS be Y=MX+B

3x + Y = 6

subtract 3x from each side

Y = -3x + 6

you’ll use rise over run, 1/3 will be your ratio.

3 0
4 years ago
Read 2 more answers
What is the quotient of 2 1/5 ÷ -1/10​
Paraphin [41]

Answer:

-22

Step-by-step explanation:

3 0
3 years ago
The diagonals of a quadrilaretral intersect at (-1,4). One of the sides of the quadrilateral is bounded by (2,7) and (-3,5)
Maurinko [17]

Solution:

Properties of Square

1. All sides are equal.

2. Opposite sides are parallel.

3. Diagonals are equal and bisect each other at right angles.

As, given point of intersection of diagonals of square is (-1,4).

And, One of the sides of the quadrilateral is bounded by (2,7) and (-3,5).  

Drawn the picture of square below,

Let, the third and fourth vertices of square be (x,y) and (p,q).

As, diagonals of square bisect each other. So,

\frac{x+2}{2}=-1\\\\ x +2=-2\\\\ x=-2-2\\\\ x=-4\\\\ \frac{y+7}{2}=4\\\\ y+7=8\\\\ y=8-7\\\\ y=1\\\\ \frac{p-3}{2}=-1\\\\ p-3=-2\\\\ p=3-2\\\\ p=1 \\\\ \frac{q+5}{2}=4\\\\ q+5=8\\\\ q=8-5\\\\ q=3

So, third and fourth vertices are (-4,1) and (1,3).

5 0
3 years ago
What is the angle of depression from the start of a 6-foot high access ramp that ends at a point 40 feet away along the ground?
Mars2501 [29]

Answer:

<h3>8.5 degrees</h3>

Step-by-step explanation:

The set up will give a right angles triangle;

Given

The height of the ramp (opposite) = 6 foot

distance away along the ground = 40 feet (adjacent)

Required

Angle of depression theta

Using the TOA identity;

tan theta = opposite/adjacent

tan theta = 6/40

tan theta = 0.15

theta = tan^-1{0.15}

theta =8.53 degrees

hence the angle of depression to nearest tenth of a degree is 89.5 degrees

3 0
3 years ago
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