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Softa [21]
2 years ago
8

Given the following diagram, enter the required information.

Mathematics
2 answers:
KonstantinChe [14]2 years ago
6 0
M(CXA) = m(BXA) + m(CXB) 
              = 30°20' + 40°35' 
m(CXA) = 70°55'
OlgaM077 [116]2 years ago
3 0

Answer:

The length of the ∠CXA  is  70° 55'

Step-by-step explanation:

Given = ∠BXA = 30° 20', ∠CXB = 40° 35'

To find = ∠CXA =?

Solution:

∠BXA  + ∠CXB = ∠CXA  (from the diagram)

30° 20' + 40° 35' = ∠CXA

∠CXA  = 70° 55'

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Help Pls! I need this fast!
lesya [120]

Answer: 36

Step-by-step explanation:

\overline{AB} \cong \overline{BC} (Triangle ABC is isosceles)

m\angle CAB=m\angle CBA=30^{\circ} (base angles of an isosceles triangle are congruent)

\angle MCB=90^{\circ} (In triangle CMB, angles in a triangle add to 180 degrees)

\angle ACM=30^{\circ} (triangle sum theorem)

MB=24 (30-60-90 triangle CMB)

AB=12 (sides opposite congruent angles in a triangle are congruent)

AB=36 (segment addition postulate)

3 0
2 years ago
How can you use mental math to multiply numbers by 10?
Wittaler [7]

Answer:

add a zero at the end of the number. 5x10=50. 60x10=600. 700x10=7000 etc.

Step-by-step explanation:

3 0
2 years ago
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The baby weighed 7.25 pounds at birth.At the end of 8 months the baby weighed 2 1/2 times its birth weight .How much does the ba
garri49 [273]
Weight at 8 months = 7.25 x 2 1/2
= 7.25 x 5/2
= 7.25 x 2.5
= 18.125

The baby weighs 18.125 pounds at eight months.
6 0
2 years ago
A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t
tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8

Total outcomes:

Two members from a set of 2 + 4 = 6. So

T = C_{6,2} = \frac{6!}{2!4!} = 15

Probability:

p = \frac{D}{T} = \frac{8}{15} = 0.5333

53.33% probability that one woman and one man will be chosen to be on the committee

5 0
3 years ago
Multiply<br> (x-6)(4x + 3)<br> A. 47-32-18<br> B. 4) - 24%-18<br> C. 47 - 21%-18<br> D. 4/2 - 18
PilotLPTM [1.2K]

Answer:

4x² - 21x - 18

Step-by-step explanation:

Use FOIL.

(x-6)(4x+3)\\\\x*4x = 4x^2\\\\x * 3 = 3x\\\\-6 * 4x= -24x\\\\-6 * 3 = -18\\\\\\4x^2+3x-24x-18\\\\\boxed{4x^2-21x-18}

Hope this helps.

5 0
2 years ago
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