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earnstyle [38]
4 years ago
5

Help Please! Will mark brainliest. =) Need help on two questions. See photos.

Mathematics
1 answer:
Mashcka [7]4 years ago
6 0
When all sides of a quadrilateral are equal (indicated by tick marks on the four sides) in length and connect the opposing vertices with a line, it will form four 90° angles. Therefore, each equation will equal 90.

10x= 90

x+y= 90

3z= 90

The measure of angles 1 and 3 can be solved as they are so:

10x= 90 ➡️ x=9

3z= 90 ➡️ z= 30

The value of x is needed to solve for the measure of angle 2 so plug in the value of x and solve:

x+y= 90

9+y= 90

y= 81

Therefore the answer is a.
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A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
juin [17]

Answer:

A. PR = 80.6 yd

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}

PR = \sqrt{(70)^2 + (-40)^2}

PR = \sqrt{4,900 + 1,600}

PR = \sqrt{6,500}

PR = 80.6 yd (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0
3 years ago
Tools used to physically represent numbers​
Rashid [163]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Triangle ptg has side lengths of 18 27 cm and 13 cm what type of triangle is it
diamong [38]
Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.

The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).
6 0
3 years ago
Which description best describes the solution to the following system of equations?
aleksandr82 [10.1K]

Answer:

  Line y = –x + 4 intersects the line y = 3x + 3

Step-by-step explanation:

The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.

___

<em>Comments on other answer choices</em>

Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.

Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.

6 0
3 years ago
Solve 15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5​
fenix001 [56]

Answer:

4 1/6

Step-by-step explanation:

15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5

assuming this order of operations:

(15 3/4 ÷ 2 5/8) × (5 5/6 ÷ 8 2/5)

63/4 x 8/21 = 505/84 = 6

35/6 x 5/42 = 175/252

6 x 175/252 = 1050/252 = 4 42/252 = 4 1/6

8 0
3 years ago
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