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1 year ago

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triangle rst is congruent with VST is shown. given Line st is the perpendicular bisector of line RV prove triangle rst is congru

ent to triangle VST what is the missing reason in the proof

2 answers:

cluponka [151]1 year ago

7 0

Answer:perpendicular bisector theorem

Step-by-step explanation:

Aleonysh [2.5K]1 year ago

7 0

Answer: A

Step-by-step explanation:

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Kelly ordered 10 pizzas for a party. 30% of the pizzas have 12 slices each. The remaining 70% of the pizzas have 8 slices each.

abruzzese [7]

Answer:

The total number of slices is 92

Step-by-step explanation:

we know that

Kelly ordered 10 pizzas for a party

step 1

30% of the pizzas have 12 slices each

so

The number of pizzas for 30% is equal to

0.30(10)=3 pizzas

The number of slices is

3(12)=36 slices

step 2

70% of the pizzas have 8 slices each

so

The number of pizzas for 70% is equal to

0.70(10)=7 pizzas

The number of slices is

7(8)=56 slices

step 3

Find the total number of slices

36+56=92 slices

8 0

2 years ago

Find the semi perimeter of a triangle with sides 9cm 12 cm and 30 cm

alexgriva [62]

Answer:

<h2>25.5 cm</h2>

Step-by-step explanation:

<h3> $s = \frac{a + b + c}{2}$ </h3>

$= \frac{9 + 12 + 30}{2}cm \\ = \frac{51}{2}cm \\ 25.5cm$

7 0

2 years ago

You found $6.60 on the ground at school, all in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 co

Veseljchak [2.6K]

Let the number of nickels found be n, the number of dimes be d and the number of quarters be q.

i) "you have twice as many quarters as dimes and 42 coins in all."

means that 2d=q, and n+d+q=42

we can reduce the number of unknowns by substituting q with 2d:

n+d+q=42
n+d+2d=42
n+3d=42

We can write all n, d and q in terms of d as follows:

there are n=42-3d nickels, d dimes and q=2d quarters.

ii) In total there are $6.60 dollars,

1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
1 quarter = 25 cent = $0.25

thus

(42-3d)*0.05 + d*0.1 +2d*0.25= $6.60

2.1 - 0.15d+0.1d+0.5d=6.60

2.1+0.45d=6.6

0.45d=6.6-2.1=4.5

d=4.5/0.45=10

iii)

so, there are 10 dimes, 2d=2*10=20 quarters and 42-3d=42-3*10=12 nickels.

Answer: 10 dimes, 20 quarters, 12 nickels

8 0

1 year ago

Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw thei

N76 [4]

Answer:

See below

Step-by-step explanation:

<em>Refer to attached. All answers included.</em>

<u>Note. Will mainly refer to y-coordinates in distance questions</u>

<h3>Part A</h3>

Distance from coffee shop to library: 16 -8 = 8
Distance from coffee shop to school: 16 - 10 = 6 = x
Distance from school to library: 10 - 8 = 2 = y
Ratio x:y = 6: 2 = 3:1

<h3>Part B</h3>

Distance from Sergio's home to Saskia's home: 19 -3 = 16
Distance from Sergio's home to Post office: 16*1/4 = 4
Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15

<h3>Part C</h3>

Distance from Kay's home to twin theater: 20 - 4 = 16
Distance from twin theater to market: 16*3/4 = 12
Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8

5 0

2 years ago

What is the following quotient? sqrt 6 + sqrt 11 / sqrt 5 +sqrt 3

just olya [345]

Answer:

$\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{\sqrt{30} - \sqrt{18} + \sqrt{55} - \sqrt{33}}{2}$

Step-by-step explanation:

Let's translate what you've written in words to an expression with mathematical symbols.

$\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}}$

To solve this, you need to multiply both the numerator and denominator with the conjugate of the denominator.

$\frac{\sqrt6 +\sqrt{11}}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{\sqrt{30} - \sqrt{18} + \sqrt{55} - \sqrt{33}}{2}$

5 0

2 years ago

Read 2 more answers