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DiKsa [7]
3 years ago
12

The measure of the vertex angle of an isosceles triangle is one-fourth that of a base angle

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0
What are you supposed to find?
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What is the measure of an angle if it is 260 degrees less than six times its own complement?
poizon [28]

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

7 0
3 years ago
Triangle ABC
Virty [35]

Answer:

15 cm

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

\frac{BC}{EF} =\frac{AC}{DF}.

\frac{18}{x}=\frac{12}{10}

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x

5 0
3 years ago
Annalee hammered in nail into a piece of wood each time she hammer the nail it went to 1/8 Inch deeper into the word if she hamm
mash [69]

Answer: 0.5 inch

Step-by-step explanation:

Given

On hammering nail advances \frac{1}{8}\ inch  each time

Annalee hammered 4 times

So, total advancement of nail= 4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch

3 0
2 years ago
Jacob scored 85%, 90%, and 74% on his first three tests. Then he scored 99%, 84% and 75% on his next three
AlekseyPX
The average of the first three is 83 (85 + 90 + 74)/3
The average of the next 3 is 86.

The difference is 3
3 0
2 years ago
Please help with two questions!!!
mixas84 [53]

Answer #1        The caracal weighs 480 ounces

Answer #2        ??????????????????????????????

3 0
3 years ago
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