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Leni [432]
3 years ago
14

What is the sum of the measures of <A and <B?​

Mathematics
2 answers:
spin [16.1K]3 years ago
6 0

Answer:

Option A, 145 degrees

Step-by-step explanation:

<u>Step 1:  Find the angle C</u>

Since 145 plus c equals 180

145 + c - 145 = 180 - 145

<em>c = 35</em>

<em />

<u>Step 2:  Find angle A and angle B</u>

<em>Since angle A and angle B have that little curve on them, that means that they are congrunet or the are the same angle.  ALSO, all triangles add up to 180.</em>

<em />

Let a represent angles a and b combine

35 + a - 35 = 180 - 35

<em>a = 145</em>

<em />

Answer:  Option A, 145 degrees

Tju [1.3M]3 years ago
3 0

Answer:

145

Step-by-step explanation:

Because that angle(C) is sum of the A & B. ✌️

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Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.
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<u>G</u><u>e</u><u>n</u><u>e</u><u>r</u><u>a</u><u>l</u><u> </u><u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>i</u><u>c</u><u> </u><u>T</u><u>e</u><u>r</u><u>m</u><u>s</u>

\displaystyle \large{a_n = a_1 + (n - 1)d}

We want to find a8; we know:

  • a1 = 9
  • d = 4

Substitute in the formula.

\displaystyle \large{a_n = 9 + (n - 1)4} \\   \displaystyle \large{a_n = 9 + 4n - 4} \\   \displaystyle \large{a_n = 4n + 5}

To find a8, substitute n = 8

\displaystyle \large{a_8= 4(8) + 5} \\   \displaystyle \large{a_8= 32 + 5} \\   \displaystyle \large{a_8= 37}

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Which one of the triangles shown is the image of the other triangle after dilation?What are the coordinates of the center of dil
Tanya [424]

Answer:

a) ΔF'G'H' is the image of ΔFGH

b)Center of dilation  (7,-1)

c) Scale factor: \frac{1}{2}

Step-by-step explanation:

Question a

Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.

Question B.

To find the center of dilation, draw straight lines through any two corresponding points.

The straight lines will meet at (7,-1).

This is called the center of dilation.

See graph in attachment.

Question c

The scale factor of the dilation is given by;

k=\frac{|F'G'|}{|FG|}

k=\frac{\sqrt{(4-5)^2+(1-5)^2}}{\sqrt{(3-1)^2+(3-11)^2}}

k=\frac{\sqrt{1+16}}{\sqrt{4+64}}

k=\frac{\sqrt{17}}{\sqrt{68}}

k=\frac{\sqrt{17}}{2\sqrt{17}}

k=\frac{1}{2}

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Answer:

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Step-by-step explanation:

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