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scoray [572]
4 years ago
6

What is the midpoint of CD?

Mathematics
1 answer:
stich3 [128]4 years ago
6 0

Answer:

\large\boxed{M_{CD}\left(\dfrac{1}{2},\ -\dfrac{5}{2}\right)}

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

We have the points C(-3, -4) and D(4, -1).

Substitute:

M_{CD}(x,\ y)\\\\x=\dfrac{-3+4}{2}=\dfrac{1}{2}\\\\y=\dfrac{-4+(-1)}{2}=\dfrac{-5}{2}=-\dfrac{5}{2}

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If sin(y°) = cos(x°), which of the following statements is true?
Firdavs [7]

Answer:

<u>y = w and ΔABC ~ ΔCDE</u>

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90°  ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

<u>∴ ∠x = ∠z </u>

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

<u>∴ ∠y = ∠w</u>

So, for the triangles ΔABC and ΔCDE

  • ∠A = ∠C  ⇒ proved by ∠y = ∠w
  • ∠B = ∠D  ⇒ Given ∠B and ∠D are right angles.
  • ∠C = ∠E  ⇒ proved by ∠x = ∠z

So, from the previous  ΔABC ~ ΔCDE by AAA postulate.

So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>

4 0
3 years ago
Read 2 more answers
That are equal to 4⋅10-3:
kozerog [31]
Answer: 37

Explanation:

Order of operations says you do multiplication first, you get 4 • 10 = 40

Then do subtraction, so 40 - 3 = 37

Hope this helps!
7 0
3 years ago
Match the following.
Mnenie [13.5K]

Answer:

D. corticoids 1. Hormones secreted by the adrenal cortex

K. endocrine gland 2. Glands which are ductless and secrete their products directly into the circulatory system

E. epinephrine 3. An adrenal hormone (adrenaline) that stimulates autonomic nerve action

I. glucagon 4. The hormone secreted by the pancreas which raises the blood sugar level

H. hormone 5. Chemical produced in one part of the body which has its effect on another part

B. insulin 6. A pancreatic hormone which lowers the level of blood sugar

J. islets of Langerhans 7. The region within the pancreas which produces insulin

A. parathyroid gland 8. Four small endocrine glands within the thyroid gland in the neck

G. parathyroid hormone 9. A hormone secreted by the parathyroid gland which regulates calcium metabolism.

C. thyroid gland 10. A gland in the neck that produces the hormone thyroxine

F. thyroxine 11. A hormone which regulates the rate of body metabolism

Step-by-step explanation:

7 0
3 years ago
I think number 9 is b or c, i don't know what 10 is. please help me!!!
scoray [572]
10 is letter b. I hope this helps!!!
7 0
4 years ago
What is the value of angle PDV
Degger [83]

Answer:

9y+7=2y+98

7y+7=98

7y = 91

y = 13

m<PDV = 2y+98

             = 2(13)+98

             = 26+98

             = 124

4 0
3 years ago
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