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Masja [62]
3 years ago
11

AB is the angle bisector of ∠CAD. Solve for x.

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

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What us the range of the function y=x^2
forsale [732]
[0, inf)

The least y-value the function can have is 0 because the square of a number cannot be negative.
3 0
3 years ago
Connor is painting a superhero with this belt buckle shown. What is the area of the belt buckle in square Inches? 9 inches 2.5 i
antoniya [11.8K]

Answer:

87.5 square inches

Step-by-step explanation:

The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.

Area of the belt knuckle = area of the 4 triangles + area of the rectangle

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 9 inches

height (h) = 2.5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*9*2.5)

= 22.5 inches²

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 4 inches

height (h) = 5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*4*5)

= 20 inches²

✔️Area of the rectangle = l*w

l = 9 inches

w = 5 inches

Area = 9*5 = 45 inches²

✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches

3 0
3 years ago
Alfred is taking a trip. He drove 150 mi and then stopped to refuel. He will drive 60 mph to finish his trip. Let x represent th
hodyreva [135]
Y = 60x +150

we put our ^0 mph as our Multiplier os x and since Alfred already traveled the 150 miles... that is just added on.
6 0
3 years ago
A class has 35 students, of which 16 are male and 19 are female. If 6 of the students are selected at random to form a committee
madreJ [45]

Answer:

The probability of choosing exactly 2 male and 4 female students =\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}

Step-by-step explanation:

We are given that a class has 35 students

Number of male=16

Number of female=19

We have to choose 6 students for committee

We have to find the probability that exactly 2 male students are selected

Probability=P(E)=\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}

If we have to choose total 6 student in which 2 male and 4 female

Combination formula:

nC_r=\frac{n!}{r!(n-r)!}

Using the formula

The probability of choosing exactly 2 male and 4 female students =\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}

5 0
3 years ago
Carisssa's favorite cereal box is 14.5 inches tall 9.5 inches wide and 1.5 inched deep. What is the volume of the cereal box?
Lerok [7]

Answer:

206.625

Step-by-step explanation:

3 0
3 years ago
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