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bija089 [108]
2 years ago
5

A diagonal of a parallelogram forms 25° and 35° angles with sides of parallelogram. Find the angles of the parallelogram.

Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0

so,

angle DAB = 25° + 35°

= 60°

now,

angle DAB + angle ADC. = 180°

or, 60° + ADC = 180°

or, ADC = 180° - 60°

Therefore, ADC = 120°

therefore, the angles of the PARALLELOGRAM are 60° and 120°.

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D’Andra has a dentist appointment in 5 weeks. There are 7 days in a week. How many days are in 5 weeks?
Lisa [10]

Answer:

A. 35

Step-by-step explanation:

Each week has 7 days, and we have 5 weeks.

Week 1 has 7 days.

Week 2 has 7 days.

Week 3 has 7 days.

Week 4 has 7 days.

Week 5 has 7 days.

We can add all these together to get the total number of days: 7 + 7 + 7 + 7 + 7 = 7 * 5 = 35.

Thus, the answer is A.

Hope this helps!

8 0
3 years ago
Read 2 more answers
triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm wo
BabaBlast [244]

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be <em>x</em>° each. Hence, the angle ACB is 2<em>x</em>°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of <em>x</em> as follows:

<em>x</em>° + <em>x</em>° + 90° = 180°

2<em>x</em>° = 90°

<em>x</em>° = 45°

Compute the length of side AP as follows:

cos\ 45^{0}=\frac{AP}{CA}

      \frac{1}{\sqrt{2}}=\frac{AP}{5}

     AP =\frac{5}{\sqrt{2}}\\\\AP=3.5

Then the length of side AB is:

AB = AP + PB

     = 3.5 + 3.5

     = 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

                = 7 + 5 + 5

                = 17

Thus, the perimeter of the triangle ABC is 17 cm.

8 0
2 years ago
A car rental agency charges $40 per day for the first 7 days, and $35 a day for each day after that. How much would joe be charg
Leno4ka [110]

Answer:

$385

Step-by-step explanation:

7x$40=280

3x$35=105

280+105=385

8 0
3 years ago
Read 2 more answers
a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo
allochka39001 [22]

The water will last for 3 days

<em><u>Solution:</u></em>

Given that, village having a population of 4000, requires 150 litres of water per head per day

<em><u>Let us first find the volume of tank</u></em>

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

volume\ of\ tank = length \times breadth \times height

Volume\ of\ tank = 20 \times 15 \times 6 = 1800

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

<em><u>Therefore, water required for 4000 people per day is:</u></em>

\rightarrow 4000 \times 150 = 600000 \text{ liters }

Convert to meters

600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3

<em><u>How many days will the water of this tank last?</u></em>

\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}

\text{Number of days water will last } = \frac{1800}{600} = 3

Thus the water will last for 3 days

5 0
3 years ago
Which sequence shows a pattern where each term is 1.5 times the previous term
Zanzabum
1.5, 2.25, 3.375, 5.0625, 7.59375... and so on
6 0
2 years ago
Read 2 more answers
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