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Sedaia [141]
1 year ago
14

I need help answering this question for my math homework. for the first select the option is yes or no and for the second select

options are sas, hl, aas, sss, asa or not congruent

Mathematics
1 answer:
TEA [102]1 year ago
3 0

Given the figure, both triangles are congruent.

Using the Side Angle Side (SAS) theorem, we can say thath both triangles are congruent.

The Side Angle Side theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, both triangles are congruent.

Here have two given sides and the angles opposite each other(vertical angles) are congruent. Thus, both triangles are congruent.

ANSWER:

Yes

SAS

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Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi.
IRINA_888 [86]

Step-by-step explanation:

step 1. The circumference (c) of a circle is the diameter of a circle x pi. c = d(pi) = 14pi.

step 2. The area (A) of a circle is the radius of a circle squared x pi. The radius of a circle is 1/2 x the diameter. A = (14/2)^2(pi) = 49pi.

4 0
3 years ago
Which criterion can be used to prove ABC and ADC are congruent?
olya-2409 [2.1K]
Triangles have common side AC, and 2 adjacent to this side corresponding angles.
∠BAC=∠DCA, and
∠ACB=∠SAD.
So, triangles <span>ABC and ADC are congruent by ASA.</span>
8 0
3 years ago
Simplify 15x + 2y + 7x + 8y
omeli [17]

Answer:

22x+10y

Step-by-step explanation:

15x + 2y + 7x + 8y ----> 22x+10y

6 0
3 years ago
In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter
anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

x_1 = 2009;\ y_1 = 10,002

x_2 = 2013;\ y_2 = 17,884

The rate of change is calculate as follows;

m = \frac{y_1 - y_2}{x_1 - x_2}

m = \frac{10002 - 17884}{2009 - 2013}

m = \frac{-7882}{-4}

m = \frac{-7882}{-4}

m = 1970.5

Hence, the average rate of change is 1970.5 thousand

6 0
3 years ago
A polygon has its vertices at the following points.
seropon [69]

Answer:

isosceles trapezoid

Step-by-step explanation:

1) find the distance of the points

\sqrt{(x2-x1)^2 + (y2 -y1)^2}

AB = \sqrt{(4-2)^2 + (7-5)^2} = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}

BC = |7-4| = 3

CD = \sqrt{(9-7)^2 + (5-7)^2}= \sqrt{4+4} = \sqrt{8} = 2 \sqrt{2}

AD = |9-2| = 7

2) equation of the line that passes threw BC

y = 7

3) equation of the line that passes threw AD

y = 5

conclusion

the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid

3 0
2 years ago
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