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lawyer [7]
3 years ago
14

In triangle ABCD, m What is m

Mathematics
1 answer:
djyliett [7]3 years ago
7 0
<span>Isosceles triangle because CA= CB
so <A = <B
4x + 5 = 5x - 1
        x = 6

</span><A = <B = 5(6) - 1 = 30 - 1 = 29
<span>
<C = 180 - 2(29)
<C = 180 - 58
<C = 122

answer
m<C = 122</span>°<span>

</span>
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The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.
alexandr402 [8]

Answer:

216.5

Step-by-step explanation:

Pyramid volume=(area of the base)*(height)/3

Pyramid volume=(area of hexagon with side 5)*(height)/3

Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2

Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5

7 0
3 years ago
Please answer now correct answer fast
Vikki [24]

Answer:

Area = 112.1 m^2

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

\frac{w}{sin(W)} = \frac{x}{sin(X)}

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

\frac{w}{sin(24)} = \frac{31}{sin(130)}

Multiply both sides by sin(24) to solve for x

\frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24)

w = \frac{31*sin(24)}{sin(130)}

w = 16.5 mm (approximated)

XY = w = 16.5 mm

Find the area of ∆WXY

area = \frac{1}{2}*w*x*sin(Y)

= \frac{1}{2}*16.5*31*sin(26)

= \frac{16.5*31*sin(26)}{2}

Area = 112.1 m^2 (to nearest tenth).

8 0
3 years ago
Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement
MArishka [77]

Answer:

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b. Everybody needs somebody sometime - Atomic statement

c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)

d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)

e. Every natural number greater than 1 is either prime or composite - Atomic statement

f. This sentence is false - Not a statement

Step-by-step explanation:

A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if

Statements are divided into 2:

  1. Atomic statements: These are statements that cannot be split into mini statements.
  2. Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation
3 0
3 years ago
Simplify 5(х+3) – 9х+4<br> A. 14x7<br> B. -4x+7<br> C. -4x+19<br> D. 14x+19
goldfiish [28.3K]

Answer:

C

Step-by-step explanation:

start with factoring.

5x+15-9x+4

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-4x+19

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3 years ago
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Steve has 26 coins in quarters and dimes.
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Step-by-step explanation:

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