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Roman55 [17]
3 years ago
13

Please help with #12

Mathematics
1 answer:
Helga [31]3 years ago
6 0

Answer:

ACD = 76

Step-by-step explanation:

The sum of the interior angles of a triangle total 180 degrees.

The sum of the two angles making up a straight line also total 180 degrees.

In the triangle, we have A + B + C = 180.

On the straight line, we have C + C^{1} = 180, so C = 180 - C^{1}

We now have A + B + (180 - C^{1}) = 180

A + B - C^{1} = 0

(4x + 15) + 21 - (7x + 6) = 0

3x = 30

x= 10

Therefore ACD = 7x + 6 = 76

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marusya05 [52]

Factorising quadratic expressions

Multiply these brackets to remind yourself how to factorise.

<span><span>( x + 2 ) ( x + 5 ) = x2 + 7x + 10</span><span>( x + 2 ) ( x + 3 ) = x2 + 5x + 6</span><span>( x - 3 ) ( x - 5 ) = x 2 - 8x + 15</span><span>( x + 6 ) ( x - 5 ) = x2 + x - 30</span><span>( x - 6 ) ( x + 5 ) = x2 - x - 30</span></span>
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valentina_108 [34]
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4 0
3 years ago
3/8(2x-8/3x)=21 solve the equation for x​
mart [117]

Answer:

\boxed{\bold{x=-84}}

Explanation:

Multiply Both Sides By 8:

= \bold{8\cdot \frac{3}{8}\left(2x-\frac{8}{3}x\right)=21\cdot \:8}

Simplify:

= \bold{-2x=168}

Divide Both Sides By -2:

= \bold{\frac{-2x}{-2}=\frac{168}{-2}}

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= \bold{x=-84}

//Mordancy //.

7 0
3 years ago
Read 2 more answers
A local​ eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has
gavmur [86]

Answer:

Step-by-step explanation:

The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. This is the null hypothesis. It is written as

H0 : µ ≤ 34

The alternative hypothesis would be

Ha : µ > 34

This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be

Reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average time spent on the deliveries does exceed 34 minutes.

6 0
3 years ago
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