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2 years ago

Which of the following is equivalent to the expression below?

Mathematics

1 answer:

Sladkaya [172]2 years ago

3 0

Answer:

2x + 6

Step-by-step explanation:

you have to factorize the above equation first and you'll get the answer

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I really need help Solve for x

MakcuM [25]

$\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}$

1. Both are corresponding angles, hence they both are equal, so,

$44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2$

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

$10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7$

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

$x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10$

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

$12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6$

Ans. A) 6

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6 0

3 years ago

In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

7 0

3 years ago

Nancy is 5 years younger than her brother Stan. Last year she was twice as young as he was. How old is each of them now?

otez555 [7]

Nancy: 5 Stan: 10

5 is 5 years
younger then Stan
And 5 is twice as
young as 10

4 0

3 years ago

Read 2 more answers

Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the paraboli

Tju [1.3M]

Answer:

Step 2:

Part A

f(x) = a(x-h)^2 +k

Part B

I'm not really sure about this part

Part C

f(x)=-12/25(x-25)^2+32

Step 3:

Part A

y = ax^2 + bx + c

Part B

f(x) = -12/25(x - 25)^2 + 32

Part C

a = -12/25

b = 0

c = 32

Step-by-step explanation:

Hope This Helps!

Sorry For Taking So Long!

3 0

4 years ago

Order these numbers from least to greatest.

Y_Kistochka [10]

-3,450, -0.6, 3.85, 14
Smallest to greatest --->

5 0

3 years ago