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hjlf
3 years ago
5

Determine the rate100 cars pass by in 2 hours​

Mathematics
1 answer:
Yuri [45]3 years ago
6 0

Answer:

if 100 came by in 2 hours 50 would come by in one hour

Step-by-step explanation:

split it it's by 2

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Unit 7: Polygons and Quadrilaterals Homework 6: Kites Need Help Stat PLEASE HELP!!!!! 20 POINTS
balu736 [363]

1) The measures of angles H and F are 121°, respectively.

2) The measures of angles U and V are 65° and 139°, respectively.

3) The <em>missing</em> angles are m \angle 1 = 72^{\circ}, m\angle 2 = 72^{\circ}, m\angle 3 = 47^{\circ}, m\angle 4 = 90^{\circ}, m\angle 5 = 18^{\circ}, m\angle 6 = 47^{\circ} and m\angle 7 = 43^{\circ}.

4) The <em>missing</em> angles are m \angle 1 = 55^{\circ}, m\angle 2 = 35^{\circ}, m\angle 3 = 35^{\circ}, m\angle 4 = 90^{\circ}, m \angle 5 = 55^{\circ}, m \angle 6 = 67^{\circ}, m\angle 7 = 67^{\circ}, m\angle 8 = 23^{\circ} and m \angle 9 = 23^{\circ}, respectively.

5) The measure of side QT is \sqrt{105}.

6) The measure of side DF is 4\sqrt{26}.

7) The measure of side NP is 3\sqrt{65}.

8) The value of x is 17.

9) The value of x is 6.

10) The measure of angle EDC is 107°.

11) The measure of angle RST is 122°.

<h3>How find missing angles and sides in rhombuses</h3>

1) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the measures of angles H and F are 121°, respectively. \blacksquare

2) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the measures of angles U and V are 65° and 139°, respectively. \blacksquare

3) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180° and the sum of <em>internal</em> angles in a quadrilateral equals 360°. The <em>missing</em> angles are m \angle 1 = 72^{\circ}, m\angle 2 = 72^{\circ}, m\angle 3 = 47^{\circ}, m\angle 4 = 90^{\circ}, m\angle 5 = 18^{\circ}, m\angle 6 = 47^{\circ} and m\angle 7 = 43^{\circ}, respectively. \blacksquare

4) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180° and the sum of <em>internal</em> angles in a quadrilateral equals 360°. The <em>missing</em> angles are m \angle 1 = 55^{\circ}, m\angle 2 = 35^{\circ}, m\angle 3 = 35^{\circ}, m\angle 4 = 90^{\circ}, m \angle 5 = 55^{\circ}, m \angle 6 = 67^{\circ}, m\angle 7 = 67^{\circ}, m\angle 8 = 23^{\circ} and m \angle 9 = 23^{\circ}, respectively. \blacksquare

5) In this case we need to apply Pythagorean theorem and <em>triangle</em> and <em>quadrilateral</em> properties to determine the missing side:

QT = \sqrt{PQ^{2}-PT^{2}}

QT = \sqrt{13^{2}-8^{2}}

QT = \sqrt{105}

The measure of side QT is \sqrt{105}. \blacksquare

6) In this case we need to apply Pythagorean theorem and <em>triangle</em> and <em>quadrilateral</em> properties to determine the missing side:

DF = 2\cdot DH, DH = \sqrt{DE^{2}-EH^{2}}

DF = 2\cdot \sqrt{DE^{2}-EH^{2}}

DF = 2\sqrt{15^{2}-11^{2}}

DF = 4\sqrt{26}

The measure of side DF is 4\sqrt{26}. \blacksquare

7) In this case we need to apply Pythagorean theorem and <em>triangle</em> and <em>quadrilateral</em> properties to determine the missing side:

NK = 7\cdot x - 1, NM = 10\cdot x - 13, KM = 24, NK = NM, KP = \frac{KM}{2}

NP = \sqrt{NK^{2}-KP^{2}}

NP = \sqrt{[7\cdot (4)-1]^{2}-12^{2}}

NP = 3\sqrt{65}

The measure of side NP is 3\sqrt{65}. \blacksquare

8) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the value of x is 17. \blacksquare

9) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the value of x is 6. \blacksquare

10) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180°. Hence, we have the following expressions:

m\angle EDC = 180^{\circ}-90^{\circ}-[2\cdot (2)+13]

m\angle EDC = 107^{\circ}

The measure of angle EDC is 107°. \blacksquare

11) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180°. Hence, the angle RST is:

m\angle RST = 2\cdot (3\cdot 12 +25)

m \angle RST = 122^{\circ}

The measure of angle RST is 122°. \blacksquare

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/25240753

8 0
3 years ago
Is my answer right? Please
creativ13 [48]
Yes it is absolutely correct. Good job!!

**You used trig :)
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3 years ago
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