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Bond [772]
3 years ago
10

Corresponding Angles are congruent.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

Answer:

∠4 + ∠1 and ∠4 + ∠5

Step-by-step explanation:

∠4 and ∠1 are vertical angles.

∠4 and ∠5 are alternate exterior angles.

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What would those be in point slope form?
zaharov [31]
Y = -1/2x + 11/2

slope and point slope formula are used
3 0
3 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
mezya [45]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

5 0
3 years ago
At a hockey game, a vendor sold a combined total of 148 sodas and hot dogs. The number of sodas sold was three times the number
AleksandrR [38]

Answer:

37 hot dogs and 111 sodas

Step-by-step explanation:

148 divided by 4= 37

148 - 37= 111

if the number of sodas was three times it would have to be broken up into three groups making the hot dogs 37 and sodas three times the amout would be 111. hope this helped sorry for any spelling mistakes

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of
Akimi4 [234]

Answer:

length = 115 cm

width = 108 cm

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 446 centimeters

LEt L be the length of the pool

The width of the pool is 7 centimeters less than the length of the pool.

width = length - 7

W= L-7

Given perimeter = 446

Perimeter of rectangle = 2(length)+2(width)

446 = 2(L) + 2(W)                    we know W = L-7

446 = 2(L) + 2(L-7)    

446 = 2L + 2L - 14

Add 14 on both sides

460 = 4L

divide by 4 on both sides

L= 115

Length L= 115

Width W = L - 7 = 115 - 7= 108



5 0
3 years ago
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
Feliz [49]

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = \frac{1}{4}x

Sweets given to Raji = 5

Remaining sweets = 7

x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16

6 0
2 years ago
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