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erica [24]
3 years ago
7

The triangles shown are congruent.

Mathematics
2 answers:
lbvjy [14]3 years ago
5 0

Answer: SSS congruence postulate

Step-by-step explanation:

In the given picture , we have two triangles \triangle{QDJ}\text{ and}\triangle{MCW}.

In \triangle{QDJ}\text{ and}\triangle{MCW}, we have

\overline{QJ}\cong\overline{MW}\\\\\overline{DJ}\cong\overline{CW}\\\\\overline{QD}\cong\overline{MC}

Then by SSS congruence postulate , we have

\triangle{QDJ}\cong\triangle{MCW}

SSS congruence postulate says that any two triangles are congruent if all three sides in first triangle are congruent to the corresponding sides in the second.

cestrela7 [59]3 years ago
4 0

The correct congruence statement is SSS, or Side-Side-Side. We see that lines QD and MC are equivalent, QJ and MW are equivalent, and lines DJ and CW are equivalent

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Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.
podryga [215]

Answer:

  • 35%

Explanation:

<u>1. Cost of each liter of yellow paint:</u>

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

<u>2. Cost of each liter of blue paint:</u>

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

<u>3. Cost of each liter of green paint.</u>

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint:     3 liter × £4.8 / liter = £14.4

                                 ==========              ========

5 liters green paint:   5 liter                        £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

<u>4. Profit</u>

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 =  35.08% = 35%

4 0
4 years ago
An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 fee
love history [14]

Answer:

3000 feets

Step-by-step explanation:

Given that :

Initial Ascent to steady altitude = 35,000 feets

Descent to steady altitude = 32,000 feets

Number of feets the plane descend :

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(35000 - 32000) feets = 3,000 feets

6 0
3 years ago
Ian is going to water his plants .is it resasoable to say he will fill the watering can with 3liters of water explain
cluponka [151]
No! a liter is as much as a big bottle of soda! he should use 3 milileters. please vote me brainliest if i helped :) ❤️
6 0
4 years ago
Soil sells for 8 1/4 cents per pound. How much would you save if you bought a 100- pound sack for $7.45?
asambeis [7]

Answer:

$0.80

Step-by-step explanation:

If the 100 pounds was bought separately (of course in real life you will probably not)

= 100 pounds x $0.0825/pound

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As you can see it will cost more than if you buy a 100 pound sack.

Cost Difference = $8.25 - $7.45 = $0.80

That means you will save $0.80 from it.

4 0
2 years ago
How do I get the answer for this quadratic equation in simplest form?
konstantin123 [22]

Answer:

x = 7 ± \sqrt{15}

Step-by-step explanation:

Given

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4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ± \sqrt{15} ( add 7 to both sides )

x = 7 ± \sqrt{15}

3 0
3 years ago
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