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Airida [17]
3 years ago
7

If < ABC forms a linear pair with < CBD, use the linear pair postulate to determine the value of X. Then find the measure

of each angle.
X = _____ ??

m < ABC _____ ??

m < CBD _____ ??

Please help! I’ll give brainliest!!

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Step-by-step explanation:

2x+13x-15=180 since a linear pair is a pair of consecutive angles that adds up to 180 degrees.

15x-15=180 because we combine like terms.

15x=165 because of the subtraction property of equality.

x=11 by the division property of equality.

abc=22 by substitution and multiplication

cbd=143-15 by substitution and multiplication

cde=128 by subtraction

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The half-life of cesium-137 is 30 years. Suppose we have a
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(b) y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}

(c)
100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\&#10;t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}
 
3 0
3 years ago
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest di
cluponka [151]
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5 0
3 years ago
The length of a rectangle exceeds the width by 7 cm. If the area
Artyom0805 [142]

Answer:

Length = 12cm

Step-by-step explanation:

The dimensions of the recatngle is:

- width → x

and

- length → x+7

The area of a rectangle follows the formula: length*width

Meaning: x * (x + 7) = 60

Expand that: x^2 + 7x = 60

Rearragne the equation and factorise it

(x-5)(x+12) = 0

The width cannot be a negative value, so the answer must be 5.

Remember that x was the width and the length is the width add the 7.

So the length is 12 cm.

8 0
3 years ago
A smoothie shop receives a delivery of 980 ounces of grape juice.how many royal purple smoothies can be made with the grape juic
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Attached the solution and work.

7 0
3 years ago
How much much interest is on earned on an account if... Principal= $1,250 Rate= 5.7% Time= 4 year
Free_Kalibri [48]

Alright, lets gets started.

I suppose , we are asked to find simple interest for above question.

Principal P = $1,250

Rate r = 5.7 %

Time t = 4 years

The formula for simple interest = \frac{P*r*t}{100}

Hence simple interest = \frac{1250*5.7*4}{100}

Simple interest = \frac{28500}{100}

Simple interest = 285 $

Hence interest earned is $ 285. : Answer

Hope it will help :)

8 0
3 years ago
Read 2 more answers
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