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3 years ago

Find the measure of each angle if c||d show work

Mathematics

1 answer:

weeeeeb [17]3 years ago

5 0

Answer:

Part a) <1=72°

Part b) <2=108°

Part c) <3=72°

Part d) <4=108°

Step-by-step explanation:

step 1

Find the measure of angle 1

we know that

<1+108°=180° -----> by supplementary angles

<1=180°-108°=72°

step 2

Find the measure angle 2

we know that

<2=108° -----> by corresponding angles

step 3

Find the measure angle 3

we know that

<3=<1-----> by corresponding angles

<3=72°

step 4

Find the measure angle 4

we know that

<4=108° -----> by alternate exterior angles

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Answer:

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Step-by-step explanation:

The volume of pyramid is given by the following formula:

$V=\frac{1}{3}bh$ (1)

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h: height

Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):

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by replacing in (1) you obtain:

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4 years ago

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3 years ago

Read 2 more answers

(3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths

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The value of "x" is 5.5

Solution:

Given that we have to solve the proportion

$\frac{3x - 4}{14} = \frac{9}{10}$

We can solve the above given proportion for "x" by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable "x"

$\rightarrow \frac{3x - 4}{14} = \frac{9}{10}\\\\\rightarrow 10(3x - 4) = 14 \times 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533$

On rounding to nearest tenth we get 5.5

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4 years ago

-3 1/2 - ( 4 1/4) whats the answer?

Anna11 [10]

Answer:

Exact form: -31/4 , Decimal form: -7.75 , Mixed number form: -7 3/4

Step-by-step explanation:

Hope this helps.

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3 years ago

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Y-3=(x+2)^2 Please explain how you graph this and find the vertex and axis of symmetry

bija089 [108]

Okay so I attatched pictures of my work. I would just graph it by plugging in x-values on either side of the vertex into the equation. For example, the vertex is at (-2,3). So try plugging x=-5 and x=1 into the equation (y=a(x-h)^2 +k).
y=(x+2)^2 +3
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3 years ago