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sergij07 [2.7K]
4 years ago
7

What does the measure of B Equal?

Mathematics
1 answer:
defon4 years ago
8 0
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.

Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.

Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.

Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.

m<BAC + m<B + m<BCA = 180

32 + m<B + 41 = 180

m<B + 73 = 180

m<B = 107
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A circle has a diameter of 7.2. What is the circumference of the circle rounded to the near tenth of an inch
KATRIN_1 [288]
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8 0
3 years ago
-5/12-(-9/3) Reduce to simplest form
Lelechka [254]

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

−512+93=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-5/12, 9/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−5/12×1/1)+(9/3×4/4)=?

Complete the multiplication and the equation becomes

−5/12+36/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−5+36/12=31/12

This fraction cannot be reduced.

The fraction

31/12

is the same as

31÷12

Convert to a mixed number using

long division for 31 ÷ 12 = 2R7, so

31/12=2 7/12

Therefore:

−5/12−−9/3=2 7/12

3 0
3 years ago
Research results showed that experimental Drug R had a minimal to modest effect in reducing the symptoms of generalized anxiety
Angelina_Jolie [31]

Answer:

The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.

Step-by-step explanation:

According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.

If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.

We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.

Doing the maths 300mg × 25%=7500mg%,

    ⇒ 7500mg% ÷ 200mg = 37,5%.

<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.

3 0
4 years ago
2-1/2 cups water minus 1-2/3 cups water =
weeeeeb [17]

The difference between the mixed numbers is equal to 5/6.

<h3>How to perform the subtraction between the two mixed numbers?</h3>

A mixed number is a number that is written as a whole number plus an improper fraction, here we want to compute:

(2 + 1/2) - (1 + 2/3)

We can group the whole numbers and the fractions, so we get:

(2 - 1) + (1/2 - 2/3)

Now we can simplify this so we get:

(2 - 1) + (1/2 - 2/3)

= 1 + (3/6 - 4/6) = 1 - 1/6 = 6/6 - 1/6 = 5/6

We conclude that the difference between the mixed numbers is equal to 5/6.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

7 0
2 years ago
The surface area of a rectangular prism with length l, width w, and height h is given by the expression 2lw+2lh+2wh. Write an eq
Yuki888 [10]

Answer:

2(lw+lh+wh)

Step-by-step explanation:

2(lw+lh+wh) using distributive property

4 0
2 years ago
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