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3 years ago

Rectangle QRST has vertices Q(3,2) and S(7,8) What are two possible coordinates for vertices R and T

Mathematics

1 answer:

Bumek [7]3 years ago

6 0

Check the picture below.

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Isa bought a number of pears and apples and paid $128 for them. If a pear costs $3.00 and an apple costs $4,00, how many apples

rodikova [14]

The numbers of pears and apples bought are 16 and 20 respectively

let

x = number of pears

y = number of apples

He bought 4 more apples than pears. Therefore,

y = x + 4

He bought a number of pears and apples and paid $128 for them. Therefore,

3x + 4y = 128

<h3>System of equation:</h3>

y - x = 4

4y + 3x = 128

Therefore,

3y - 3x = 12

4y + 3x = 128

7y = 140

y = 140 / 7

y = 20

Therefore,

20 = x + 4

x = 20 - 4

x = 16

learn more on algebra here: brainly.com/question/971162

5 0

3 years ago

Find the volume of the pyramid and round to the nearest tenth.<br> 9 cm<br> 5 cm<br> 5 cm

Fittoniya [83]

Answer:

75 cubic cm.

Step-by-step explanation:

5·9=45 - Find the base

45·5=225 - Multiply the base by height

225÷3=75 - Divide the total by 3

75 is the answer

6 0

4 years ago

What is the measure of segment PG?

agasfer [191]

The measure of the segment PG is mathematically given as

P G=17units. Option D

<h3>What is the measure of the segment PG?</h3>

Generally, the equation for is mathematically given as

$In $\triangle G H T$ \& $\triangle G J T$$

$\begin{aligned}&\angle G J T=\angle G H T \quad\left(\text { each } 90^{\circ}\right) \\\\&\angle G T J=\angle H T G\end{aligned}$

$G T=$ G $T$ (common)$

Hence $\triangle G H T=\triangle G J T$ (By AAS criteria)$

$G H=G J$ By cpct$

It is given that

$\mathrm{GH}=x+3$$$

$\ln =2 x-1$

Hence $G H=x+3=2 x-1$$$

$\text { as given } \begin{aligned}P G &=4 x+1 \\&=4 \times 4+1 \\&=17 \\\text { } & P G=17 \text { units }\end{aligned}$

In conclusion, The measure of the segment PG is given as

P G=17