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Advocard [28]
2 years ago
10

A (5x − 3)° B E (7x+15)° D (6y + 7)° C

Mathematics
1 answer:
marishachu [46]2 years ago
6 0

Answer:

The value of x = 14 ...

The value of ∠AED = ( 7x + 15) = 7(14) + 15 = 113

The value of ∠AEB = 5x-3 = 5(14) -3 = 67

Step-by-step explanation:

=> ∠BEC = ∠AED { vertically opposite angles }

∠AED = (7x + 15)°

=> ∠AEB + ∠BEC = 180° { linear pair }

=> ( 5x-3) + ( 7x+15) = 180°

=> 5x -3 + 7x + 15 = 180°

=> 12x + 12 = 180°

=> 12( x +1 ) = 180°

=> x+1 = 180/12

=> x +1 = 15

=> x = 15-1

=> x = 14

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Ted is making a bread recipe that uses three 1/4 cups of flour and a muffin recipe that uses 2 3/4 cups of flour eggs. How much
wlad13 [49]

Amount of flour used in bread recipe = 3 \frac{1}{4} cups

Amount of flour used in muffin recipe = 2 \frac{3}{4} cups

We have to determine how much more flour is in the recipe.

Since, more amount of flour is used in bread recipe than in muffin recipe.

Total amount of more flour = 3 \frac{1}{4} - 2 \frac{3}{4}

= \frac{13}{4} - \frac{11}{4}

= \frac{2}{4}

= \frac{1}{2}

Therefore, \frac{1}{2} more cup of flour is used in bread recipe than in muffin recipe.

Now, we will determine the total amount of flour used in both recipe.

Total amount of flour used in bread and muffin recipe

= 3 \frac{1}{4} + 2 \frac{3}{4}

= \frac{13}{4} + \frac{11}{4}

=\frac{24}{4}

= 6 cups

Therefore, total 6 cups of flour are used in both the recipes.

3 0
3 years ago
the length of a side of a square is 10x+4 units. If the perimeter is 96 units. What is the area of the square?​
dmitriy555 [2]

Answer:

576 Units

Step-by-step explanation:

The way your teacher wants you to do it:

1. We know that multiplying a length by four gives us the perimeter of a square.

1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16

1b. We know the perimeter is 96. So: 40x+16=96

2. Solving for x, we get x=2

3. Plugging our solved x into the given length  (10x+4), we see that the length of a side of the square is 10*2+4=24.

4. We know that the area of a square can be found by squaring the side of a square.

4a. 24*24=576.

5. The area is 576 units.

--------------------------------------------------------------

Easier Solution:

1. We know that the perimeter is length*4.

2. We set L to length.

2a. 4L=96

2b. L=24

3. We know that the length square is area.

4. 24*24=576.

4 0
3 years ago
Brainly plz help only three questions
larisa86 [58]

Answer for no.9:

144.5cm^2

Step-by-step explanation:

base of triangle = 34cm-17cm

=17cm

Area =bh/2

=17cm×17cm/2

=289cm^2/2

=144.5cm^2

4 0
3 years ago
A circle has a radius of 3. An arc in this circle has a central angle of 20°
Alla [95]

Answer:

The length of the arc is 1.0467

Step-by-step explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360​​° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

1/18 * 18.84 = 1.0467

The length of the arc is 1.0467

4 0
3 years ago
Passes through the point (0,6) and has a slope of -2/3
Vadim26 [7]

Answer:

y=-\frac{2}{3}x + 6

Step-by-step explanation:

We are given that a line has a slope of -2/3 and passes through the point (0,6)

We want to write the equation of this line; there are 3 forms of the line that we can use:

  • Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
  • Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
  • Slope-point form, which is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is a point

All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.

As we are already given the slope, we can immediately substitute m with that value.

Replace m with -2/3:

y = -2/3x + b

Now we need to find b.

As the equation passes through the point (0, 6), we can use it to help solve for b.

Substitute 0 as x and 6 as y.

6 = -2/3(0) + b

Multiply

6 = 0 + b

Add

6 = b

Substitute 6 as b.

y = -2/3x + 6

Topic: finding the equation of the line

See more: brainly.com/question/27645158

8 0
2 years ago
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