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Eddi Din [679]
3 years ago
15

Plz help asap i need it by 10pm

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0
-26 because negative subtract
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Dana draws a triangle with one angle that has a measure of 40∘.
OLEGan [10]

Answer:

140°

Step-by-step explanation:

<u>Given:</u>

Dana draws a triangle with one angle that has a measure of 40∘.

<u>Question asked:</u>

What is the measure of the angle’s adjacent exterior angle?

Solution:

<u>As we know:</u>

<u><em>Sum of the adjacent interior and exterior angles is 180°.</em></u>

Interior angle = 40°

Adjacent exterior angle = ?

Interior angle + Adjacent exterior angle = 180°

40° + Adjacent exterior angle = 180°

<u>By subtracting both sides by 40°</u>

40° - 40° + Adjacent exterior angle = 180° - 40°

Adjacent exterior angle = 140°

Therefore, the measure of the angle’s adjacent exterior angle will be 140°.

4 0
3 years ago
Angle G and H are vertical angles. If angle G is 45 degrees and angle H is 2x degrees, what is the value of x?
Veseljchak [2.6K]

Answer:

x = 22.5

Step-by-step explanation:

Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.

The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.

2x = 45

Divide both sides by 2.

x = 22.5

6 0
3 years ago
A batting machine uses an automatic baseball feeder. During baseball
Inessa05 [86]

The feeders in battling machine are represented in proportions and fractions.

  • The equation that represents the problem is: \mathbf{\frac 16x + 15 = \frac 23x}
  • The feeder can hold <em>30 baseballs</em>, when full

The given parameters are:

<em />\mathbf{Initial = \frac 16x}<em> ------ 1/6 full</em>

<em />\mathbf{Additional = 15}<em> --- baseballs added</em>

<em />\mathbf{Final = \frac 23x}<em> ---- 2/3 full</em>

<em />

So, the equation that represents the problem is:

\mathbf{Initial + Additional = Final}

So, we have:

\mathbf{\frac 16x + 15 = \frac 23x}

The number of baseballs it can hold is calculated as follows:

\mathbf{\frac 16x + 15 = \frac 23x}

Multiply through by 6

\mathbf{x + 90 = 4x}

Collect like terms

\mathbf{4x - x = 90 }

\mathbf{3x = 90 }

Divide through by 3

\mathbf{x = 30 }

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

brainly.com/question/20337104

5 0
2 years ago
A circular garden at a park has a diameter of 20 feet. A contractor is developing plans to build a 5 foot-wide walkway around th
choli [55]
I was scared of dances in the dark I was going to put the girls in certain conversations all my friends on your the magicians within an hour dreams are all
3 0
3 years ago
We want to factor the following expression:
S_A_V [24]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

9x^6 + 6x^3y + y^2 \\  \\  =  {(3 {x}^{3} )}^{2}  + 2.(3x^3).y +( y)^2  \\  \\  =  \bigg({3 {x}^{3} } + y \bigg)^{2} \\  \\   = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\  \\ \\  \\

4 0
3 years ago
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