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Andrew [12]
3 years ago
11

Given the following diagram, find the missing measure.

Mathematics
1 answer:
madam [21]3 years ago
6 0

m3 = 110°

Step-by-step explanation:

m1 = 180° - m4 ( sum of angles in a straight angle )

m1 = 180° - 150° = 30°

m3 = 180° - (m2 + m1) ← sum of angles in a triangle

m3 = 180° - (40 + 30 )° = 180° - 70° = 110°

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The parallelogram ABCD below, line AC is a diagonal, the measure of angle ABC is 40, and the measure of angle ACD is 57. What is
Strike441 [17]

Answer:

Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment

In parallelogram ABCD, AC is a diagonal.

Given:  \angle ABC = 40^{\circ} and \angle ACD= 57^{\circ}

As, we know that opposite angles in parallelogram are equal.

therefore,

\angle ABC =\angle ADC= 40^{\circ}

Now, in ΔADC

Sum of the measures of angles in a triangle is 180 degree.

\angle ACD+ \angle ADC+\angle DAC =180^{\circ}

Substituting the values of \angle ADC= 40^{\circ} and  \angle ACD= 57^{\circ}  we have;

57^{\circ}+40^{\circ}+\angle DAC =180^{\circ}

or

97^{\circ}+\angle DAC =180^{\circ}

Subtract 97^{\circ} from both sides we get

\angle DAC =180 -97 =83^{\circ}

Therefore, the measure of angle CAD is 83^{\circ}.









3 0
3 years ago
Answer for number 3
julia-pushkina [17]
36x^2-49
this closely matches the binomial formula of (a+b)*(a-b)=a^2-b^2
so we know:
a^2=36x^2
a=6x

b^2=49
b=7

so (a+b)*(a-b)=(6x+7)*(6x-7)=36x^2-49
4 0
3 years ago
Susie has 126 pink beads and 147 white beads to make bracelets with. She must make more than one bracelet and each bracelet is i
aleksandrvk [35]

Answer:

6 pink and 7 white

Step-by-step explanation:

7 0
3 years ago
HELP PLZ It is your turn to wash the dishes. When you are finished, you begin to drain the water from the sink. The water's drai
Georgia [21]

Answer:

The rate of change is -0.75

Step-by-step explanation:

For each unit of <em>t</em> the volume of water is decreasing by 0.75.

At <em>t</em>=13.333 the volume of water is 0. at <em>t</em>=0 the volume of water is 10

Hope this helps

5 0
3 years ago
The BBQ club meets every Thursday. The meetings last 2 1/2 hours. There were 5 Thursdays in
Dafna11 [192]

Answer:

12 1/2

Step-by-step explanation:

2 x 5 = 10

1/2 x 5 = 2 1/2

10 + 2 1/2 = 12 1/2

3 0
3 years ago
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