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3 years ago

Math Proof !! Help please! See photo

Mathematics

1 answer:

worty [1.4K]3 years ago

6 0

Answer: first blank is Alternate Angle Theorem,

second blank is angle ADB≅ angle CDF.

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OOOO

lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$

Since square root of a negative number cannot be found, so:

$x \neq \pm \sqrt{-100}\\$

$CASE\: (2)\:\\When\: a =5 \implies x^2 =5\\\therefore x=\pm \sqrt{5}\\$

3 0

2 years ago

6. Nicole deposits $2,136 in a såvings account paying 5% interest rate. To the

ValentinkaMS [17]

Answer: $3,166

Step-by-step explanation:

8 0

2 years ago

7. The probability that Jane smokes is 4/9. The probability

svet-max [94.6K]

To find the probability that she develops lung cancer given that she smokes, multiply the two probabilities together:

4/9 x 3/10 = (4 * 3) / (9*10) = 12/90 = 2/15

6 0

2 years ago

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawal

zmey [24]

Answer:

Total interest = $28.72

New balance = $ 387.72

Explanation: Tarah has $359 in the bank. To find the amount of interest, multiply 359 by .08.

She gets $28.72 interest annually.

In one year, she will make $387.72. (Add the total interest to her original balance)

Plz mark brainliest:)

6 0

2 years ago

A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70

777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture $C_m$ must be the cost of the everyday moisturizing lotion $C_e$ plus the cost of the self-tanning lotion $C_s$ , which means $C_m=C_e+C_s$ .

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

$n_m c_m=n_e c_e + n_s c_s$

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

$n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m$