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3 years ago

1. True or false:

Mathematics

1 answer:

Nitella [24]3 years ago

4 0

1) true

2)false

Step-by-step explanation:

1) 5(3)+2(4) = 23

= 15+8=23

23=23

thus, (3,4) is solution for 5x + 2y = 23

2) 5(0)+2(4) =23

= 0+8 is not 23

thus, (0,4) is not solution for 5x + 2y = 23

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Amanda [17]

Answer:

$x=44$

m∠1=118°

m∠2=62°

Step-by-step explanation:

Part A: They are supplementary angles, so

$2x+30+62=180$

Simplify like terms,

$2x+92=180$

We subtract 92,

$2x=88$

Divide by 2,

$x=44$

Part B:

$m$ ∠ $1=2x+30$ because ∠2 is vertical to 2x+30.

Plug in 44 for x,

$m$ ∠ $1=2(44)+30$

Simplify,

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3 0

3 years ago

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Under what condition is √x > √25?

kvasek [131]

$\sqrt x > \sqrt{25} \qquad( x\geq 0)\\\sqrt x > 5\\x > 25$

When $x > 25$ .

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2 years ago

Find the values of x in the isosceles triangle

Wewaii [24]

Answer:

x = sqrt(55)

x = 7.416198487

Step-by-step explanation:

We can use the Pythagorean theorem

The base is 3 (1/2 of 6). The other leg is x and the hypotenuse is 8

a^2 + b^2 = c^2

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Subtract 9 from each side

9-9 +x^2 = 64-9

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Take the square root of each side

sqrt(x^2) = sqrt(55)

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3 years ago

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3 years ago

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How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?

Ket [755]

The amount invested is $ 470

<h3><u>Solution:</u></h3>

Given that , we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested. That is, we need to find the principal sum

Let us use the simple interest formula

<em><u>The simple interest is given as:</u></em>

$\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}$

Here, simple interest = $ 131.60

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Substituting the values in formula, we get

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3 years ago