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Makovka662 [10]
4 years ago
10

Simplify the expression. –10z – 28z 18 18z –38z 38z

Mathematics
2 answers:
Mariana [72]4 years ago
7 0
- 38z, because -10z - 28z = 38, but you have to change into addition and that will be equal -38z.
Digiron [165]4 years ago
6 0
You're right it is definitely -38z 
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RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that
schepotkina [342]

Answer:

<u>Question 11:</u>

\angle DAC = 53^\circ

\angle AED = 90^\circ

\angle ADC = 74

DB = 16

AE = 6.03

AC = 12.06

<u>Question 12:</u>

\triangle ABD, \triangle BAC, \triangle CDA and \triangle DAB

<u>Question 13: </u>

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

<u>Question 11</u>

Given

\angle BAC = 53^\circ

DE = 8

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): \angle DAC

Diagonal CA divides \angle DAB into 2 equal angles

i.e

\angle DAC = \angle BAC

So:

\angle DAC = 53^\circ

Solving (b): \angle AED

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

\angle AED = 90^\circ

Solving (c): \angle ADC

First, we calculate \angle ADE, considering \triangle ADE:

\angle ADE + \angle AED + \angle DAC = 180

\angle ADE + 90 + 53 = 180

\angle ADE + 143 = 180

\angle ADE = -143 + 180

\angle ADE = 37

To calculate \angle ADC, we have:

\angle ADC = 2*\angle ADE

\angle ADC = 2* 37

\angle ADC = 74

Solving (d): DB

From the rhombus

DB = DE +EB

Where

DE =EB

So:

DB = 8 + 8

DB = 16

Solving (e): AE

To do this we consider \triangle ADE

Using the tan formula

tan(\angle ADE) = \frac{AE}{DE}

\angle ADE = 37 and DE = 8

So:

\tan(37) = \frac{AE}{8}

AE = 8 * \tan(37)

AE = 6.03

Solving (f): AC

This is calculated as:

AC = AE + EC

Where

AE = EC

AC = 6.03 +6.03

AC = 12.06

<u>Question 12: Isosceles Triangle</u>

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

\triangle ABD, \triangle BAC, \triangle CDA and \triangle DAB

<u>Question 13: </u>

AC and BD are perpendicular lines, and they are diagonals

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algol [13]

Answer:

11:50 is the answer

6 0
3 years ago
A circle has a diameter of 2.5 ft.
alukav5142 [94]
A = pi * r^2
D = 2.5 so r = 1.25
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3 years ago
You want to save $5000 to buy a car. You have $1325 in your account right now. You plan to work and save $150 out of each payche
d1i1m1o1n [39]

Answer:

approximately 25 weeks

Step-by-step explanation:

take $ 5000-$ 1325=$3675 this is what is remaining to achieve $5000

if you get $150 in one week what about $3675 is equal to how many weeks

$150=1 week

$3675=??weeks

<u>$</u><u>3675</u><u> </u><u>×</u><u> </u><u>1 week</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>$</u><u>150</u>

<u> </u><u> </u><u> </u>

<u>Ans</u><u> </u><u>=</u><u>24</u><u>.</u><u>5</u><u> </u><u>the</u><u> </u><u>same</u><u> </u><u>as</u><u> </u><u>25</u><u> </u><u>weeks</u>

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3 years ago
If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of<br> them get?
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Answer:

$12

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Step-by-step explanation:

Amount Jatin received = (ratio of Jatin's share / sum of ratios) x amount shared

sum of ratios = 3 + 2 = 5

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3 years ago
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