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lbvjy [14]
3 years ago
8

∠AZB and ∠CZB are supplementary. The m∠AZB = 2x - 4 and m∠CZB = 8x + 4. What is the measure of each angle?

Mathematics
2 answers:
g100num [7]3 years ago
7 0
The answer is A because when you add the angles to get they equal 180. Then just solve for x.

The drawing isn't to scale

timofeeve [1]3 years ago
3 0
The correct answer is <span>A. m∠AZB = 32° and m∠CZB = 148°</span>
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This represents a function with a slope of 2 and y-intercept of 1
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the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top
PSYCHO15rus [73]

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

  α = arctan(125/72) = 60.058°

  α ≈ 60°

The angle of elevation is about 60°.

5 0
2 years ago
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

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The face value will be:

        Face \ value = 2.3880083\times 8375

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Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
Cuanto es la respuesta de -126=14k?
N76 [4]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \text{k =   - 9}}}}}

Step-by-step explanation:

\star{ \text{ - 126 = 14k}}

\text{step \: 1 \: : Intercambia los lados de la ecuación}

\hookrightarrow{ \sf{14k =  - 126}}

\text{step \: 2 : Divide ambos lados por 14}

\hookrightarrow{ \sf{ \frac{14k}{14}  =  \frac{ - 126}{14}}}

\text{step \: 3 \:  : Calcular}

\hookrightarrow{ \sf{k =  - 9}}

\text{el valor de k es  - 9}

------------------------------------------------------------

Translation in English:

Step 1 : Swap the sides of the equation

Step 2 : Divide both sides by 14

Step 3 : Calculate

\sf{Hope \: i \: helped ! }

\sf{Best \: regards !!}

~\sf{TheAnimeGirl}

6 0
3 years ago
Read 2 more answers
What is 13.235 rounded to nearest hundredth
egoroff_w [7]
Answer to your question is 13.24
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